Title: Apollonian Gasket 3d Post by: jotero on June 09, 2015, 08:23:33 AM Hello all :)
Apollonian Gasket 3d + Blender Cycles http://wiki.blender.org/ (http://www.evolution-of-genius.de/3d/cycles/apollonian_gasket_3d_sauermann_blender_cycles_I.png) "ready for 3d printer" :dink: ciao torolf Title: Re: Apollonian Gasket 3d Post by: Caleidoscope on June 09, 2015, 08:56:31 AM Stunning, really very, very beautiful. Actually it looks like it's been printed already. :)
Title: Re: Apollonian Gasket 3d Post by: ericr on June 09, 2015, 09:54:09 AM Wonderfull great art but it must been difficut to make
Title: Re: Apollonian Gasket 3d Post by: jotero on June 09, 2015, 03:49:31 PM Thank you and here again something great:
http://www.evolution-of-genius.de/3d/cycles/apollonian_gasket_3d_sauermann_blender_cycles_II.png Title: Re: Apollonian Gasket 3d Post by: Caleidoscope on June 10, 2015, 09:45:22 AM Little green apples Eve surely could not have resisted! :)
Title: Re: Apollonian Gasket 3d Post by: jotero on June 13, 2015, 07:53:07 AM Hello all :D
Apollonian gasket 3d + Blender Cycles http://wiki.blender.org/ (http://www.evolution-of-genius.de/3d/cycles/apollonian_gasket_3d_sauermann_blender_cycles_III.png) "ready for 3d printer" :dink: ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on June 13, 2015, 03:05:13 PM Apollonian Gasket 3d, is more complex O0
(http://www.evolution-of-genius.de/3d/cycles/apollonian_gasket_3d_sauermann_blender_cycles_0.png) mandelbulb3d http://mandelbulb.com/2014/mandelbulb-3d-mb3d-fractal-rendering-software/ Title: Re: Apollonian Gasket 3d Post by: m2001 on June 13, 2015, 05:32:53 PM hi jotero
can you help me please... where to find the formular "Apollonian Gasket 3d" for mb3d - maybe this: http://www.fractalforums.com/3d-fractal-generation/escape-time-version-of-the-tetrahedral-apollonian-gasket/ but, how to load it in mb3d? thx!!! Title: Re: Apollonian Gasket 3d Post by: DarkBeam on June 13, 2015, 05:54:37 PM Jotero I love your 3D creations with k3d surf and I would love if you share your formulas. Pleaseee :'(
Luca :beer: Title: Re: Apollonian Gasket 3d Post by: ericr on June 13, 2015, 06:08:45 PM jotero
Posts: 34 It is the graal of fractal in M3d !!!! Would you please give the params , if you want Thx in advance Title: Re: Apollonian Gasket 3d Post by: slon_ru on June 13, 2015, 06:50:49 PM Nice model! :beer: :beer: :beer:
Title: Re: Apollonian Gasket 3d Post by: jotero on June 14, 2015, 01:55:54 PM Hello all :D
DarkBeam your solution in the year 2011 or 2012!? Mandelbulb3Dv18{ g.....S....s/...ET...2....Ep5.fKRe0..XAcCOueGL1EWQD/i1zyJzHaCLzQxgLoz.FxJXIk/Hxj ................................PTMHXhWK3.2........A./..................y.2...wD ...Uz6.....3..../MU/.2.....L/...rd....E3.....gmQpE17AhpD/..........m/dkpXm1....U z.....kD12../2.........wz.........zD........kz1...........U0.....y1...sD...../.. .z1...sDyhhqIUYN5xXz7CKb6pVAzaihKpEM.KnDgwBfVAyngtHiu7rGH1CFz2wzF/asJ4oDrsw96PK5 wwP.olAPwKWDziDKxYDlZ5oDU.....2A9.............sD.6....sD..G..................... .............oAnAt1...sD....zw1.........................................ET...k1. .....Ksulz1.....9/kz2wzzz1.U..6.U....o1...EB....H/qzDc3.EUkF....xzzzzbn1...UJt5A ...U.ydelyjeYFnzTeOgzf8No.66nc..zzzz............6.....................k.8.kXWF1. .sM93P58iz9.MmnWK2zwz0........../6U0.wzzz1................................E.0c.. zzzz.............0...................2U.8.kzzzD............8.................... /6U0.wzzz1....................................uBZ.U7EgU7zzFoTu2.oQm2oszDnueM.YXB bYHzTt6Ul/k6Ukl6Qs5crI0.a.l0a.bTUSH7.M029M0ly/uBZ.U7EgU7Mw5crI0.a.l0akqTUSH7.M02 9M0kz/uBZ.U7EgU7...crIGJzzFoTuIdyzngi8qdxzZX.4rU................................ E....ME/F3......zzzzz1......0x4SBx4N934Pd/kPmp4.......................k/C....... ...................wz0..................kz1........wz.........zD................ ................................................................................ .....................2.....3....4....wpQkVKNmJKOiN5.Z75......................... ....BMV.......................yD.....................ERZAMJJJJwD........Uz9..... ...wz........................................................................... ................................/....E/...U.....TNoPgFKOiR4JZFbQVB1N............ ..........U.0...4MU/....................kz1........wz........................... ................................................................................ ..........................................E.....I....M....kLn/5OZ7LNdtaR........ .........................oU30......................sz0........yj........UznVweMA JJJpz...................kz1..................................................... ...........................................................3.........wZIkxqRn.EN Y7rPiZYFH/.......................Q...................ckpX0LD8I.EYGzZPSrsdz1..... .....UIujQnv4DxD................................................................ ................................................................/....E/...E..... TBpMVlKOiR4..IrQ................................................vFVf53iSkz9..... ...wz.........zD........kz1........wz........................................... ............................................................................} {Titel: Apollonian_Gasket_3d} The solution is here: Mandelbulb3Dv18{ g.....c....s/...Y/...22...EXj8eGMw7..9wur6oWe33EhAhgyOM90z1VW5SDZQqpzgtMeIF1O.yD ................................HLgdAlvnsz1........Y./.........E........y.2...wD ...Uz6/...k1..../kU/......kc0...y1...2k2.....gEQnndMS4qD/..tr9sD...m/dkpXm1....U z.EnAngD12../2.........wz.........zD........kz1...........U0.....y1...sD...../.. .w1...oD6EmRNMCMQvH.J3.FwXgKz8QAHyOJZPpDoljLPBY5UxvaVWzUMNZEzMN5Oo8f1LoD5Q8T8ZKR AxPaDK4egfDJza2o1QXctVpjU....5YR.........2....kD.2....PE..G..........U.E........ .............oAnAt1...sD....zw1....................................tr9sDR....E4. .....Ksulz1.....t.kz.wzzz1kJ.w7.4/...61...UE....I....U3...UB....J/...co1...UJrb1 c.1U.ydelyjeYFnz....z1......1c..zzzz..EizccZWGyD6EdGkxmWcz1...........k.8.kXWF1. .sM93P58iz9.MmnWK2zwz0..........p2GAx1Ak.1..ROszmlGtzslRfnLR1Fyj.seck3rGE.QEKc.. KG8h..kYEkti4xyD.qdIWOorVy1..........2U.8.kzzzD............8.................... /6U0.2irR1....................................uBZ.EHVMFHzzFoTu2.cxo7ctzDnueM.g5P DhLzTt6Ul/kF.VnFQs5crI0.B3W3B/bTUSH7.oI6Ko2ly/uBZ.EHVMFHMw5crI0.B3W3BlqTUSH7.oI6 Ko2kz/uBZ.EHVMFH...crIGJzzFoTuIdyzngi8qdxzZX.4rU.ooFTR1Co2X9e/rN................ E....6E2F2......zzzzz1......Gx4RVFLN.ELN.A5..........................MU/4....... ................................................................................ ................................................................................ .....................2.....3....3....2YEjVLHjFqGVlKO.65......................... .QU1..U......................Uzj...................wz.........zD........kz1..... ...wz........................................................................... ................................} {Titel: Apollon_end} I need some time for a good solution. The distances are still wrong. (http://www.evolution-of-genius.de/3d/apollonian_gasket_mandelbulb3d.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: m2001 on June 14, 2015, 03:36:17 PM thx!
Title: Re: Apollonian Gasket 3d Post by: ericr on June 14, 2015, 03:44:22 PM thx very much !
Title: Re: Apollonian Gasket 3d Post by: jotero on June 14, 2015, 09:53:44 PM What for the night to the sleep :angel1:
(http://www.evolution-of-genius.de/3d/apollonian_gasket_mandelbulb3d_jotero_IV.png) ciao Torolf Title: Re: Apollonian Gasket 3d Post by: jotero on June 16, 2015, 05:01:27 PM hello all :)
Apollonian Fractal (http://www.evolution-of-genius.de/3d/apollonian_fractals_sphere_jotero.png) Start Apollonian Fractal :dink: Code: Mandelbulb3Dv18{ciao torolf Title: Re: Apollonian Gasket 3d Post by: m2001 on June 16, 2015, 06:35:17 PM :D
Title: Re: Apollonian Gasket 3d Post by: DarkBeam on June 17, 2015, 12:06:51 AM Nice job there :)
Title: Re: Apollonian Gasket 3d Post by: jotero on June 18, 2015, 08:21:11 PM Hello all :D
My first attempt „Kleinian Groups Dodecahedron” (http://www.evolution-of-genius.de/3d/kleinian_groups_dodecahedron.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on June 19, 2015, 07:41:46 PM Hello all :)
Kleinian Groups Fractal. (http://www.evolution-of-genius.de/3d/kleinian_groups_fractal_jotero.png) Start: Code: Mandelbulb3Dv18{ciao Torolf Title: Re: Apollonian Gasket 3d Post by: m2001 on June 19, 2015, 08:10:31 PM :dink:
Title: Re: Apollonian Gasket 3d Post by: slon_ru on June 19, 2015, 08:58:57 PM Nice ! :beer: :beer: :beer:
Thank you params sharing ! my tweak (Apollonian Gasket 3d+koch_oct) & 3ds max model: Title: Re: Apollonian Gasket 3d Post by: jotero on June 21, 2015, 10:15:55 AM Hello all :dink:
Mandelbrot Kleinian Groups Jotero (http://www.evolution-of-genius.de/3d/kleinian_groups_mandelbrot_jotero.png) is certainly too large! http://www.evolution-of-genius.de/3d/kleinian_groups_mandelbrot_jotero.png ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on June 24, 2015, 04:25:04 PM Hello all :D
apollonian fractals. (http://www.evolution-of-genius.de/3d/fractal/apollonian_fractals_V_jotero.png) | (http://www.evolution-of-genius.de/3d/fractal/apollonian_fractals_IV_jotero.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on June 24, 2015, 07:00:26 PM Do you use inversions on polyhedra ?
It is Wonderfull ERICR 1st test to go from polyedron to Apollonian Gasket Title: Re: Apollonian Gasket 3d Post by: jotero on June 26, 2015, 09:40:54 AM Hello all :D
Yes ERICR the approach is good and here my attempt. (http://www.evolution-of-genius.de/3d/fractal/apollonian_fractals_VI_jotero.png) Zoom in :dink: http://www.evolution-of-genius.de/3d/fractal/apollonian_fractals_VI_jotero.png (http://www.evolution-of-genius.de/3d/fractal/apollonian_fractals_VII_jotero.png) Zoom in :dink: http://www.evolution-of-genius.de/3d/fractal/apollonian_fractals_VII_jotero.png ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on June 26, 2015, 01:10:55 PM Other example, same methode
Title: Re: Apollonian Gasket 3d Post by: m2001 on June 27, 2015, 07:44:19 PM my test:
another facebook "mandelbulb maniacs" member has uploaded for 3d printing :) http://www.sculpteo.com/en/print/ag-102476/EKGczi3a Quote Mandelbulb3Dv18{ g.....x/...o5...w....2....UQE/UBjhS0.HqowWD6eS3EydsYpmMHryHqwduK9yflzG24ZZxxe2yD ................................QnsF9Ul9nz1........Y.lx1........nAnAnAnQ5/2...wD ...Uz6....EWB.../Q.0/....2.s3...i.....Ej.....2V7oslqeooD/Q.W9dsD/K3o0dkpXk1.QJJV .JEnAnQD12..12.........wz.........zD........kz1...........U5.....y1...sD...../.. .z1...sDTYZz2bfAAxXHwWDilVK9zUd6ylrpfDkjwjxjogeKKwP7O1GYPsRDzwx9982tZXoDGKnjeynd fw1PP2Xj9CzFzSee3knc6tnDU.....IW6...9K........kD/6....sD..G..................... .............oAnAt1...sD....zw1....................................W9dsDD....2.. .....Ksulz1.......kz.wzzz5.U..6.P....61...EB....U0...s/....F....6/...A4.....SFD1 ...U.0aZczDM6/nzMg2czX6dE16.0c..zrhe...pMnDnNqyD6.Dbqxm4Iz1...........U.8.UQgk0. .wUmc2beYz1.dA8E5Exwz0........../6U0.YnFP/..fjrwdvgqzs/Fbf24LNyD..........E3l6Iz y1hS..UntEsqczzD.ujLGRYA/z1.GqgUe0UD.LEAVszz9v3..wCxDe520z98Lx13HPUpz0U1keCrVQ/k 36/3yzDlJ/..y7sgDCRkz..ADOsW3Kxj.YgRrQMAL.A..UTVR..y3q/yzz/k.1A..1Ak.vzDsnwF.UDn 5VTzThdht0kaqaPiQs5y3q/.sLM5s1bTsLM5.UTVRUDlyVTVR..y3q/yMw5y3q/.sLM5snqTsLM5.UTV RUDkzVTVR..y3q/y...y3q/bzz/k.1Akyz1yATomxzpaqaffnhKSTB4PjJ5Nic4Qb/.............. E6...EU.nA.0....I....I....EE0x4SBx4N934Pd/UQ..........................k/C....... ...................wz0..................kz1........wz.........zD................ ................................................................................ .....................2.....3....9....gqPXVqLjB4R................................ .....MU/4MU/4................M.EnAnAnAnAHzHnAnAnAnAxzAnAnAnAnQzD................ ........................................................Uz1..................... ................................./...E/.........T73QjRrA........................ ........................................U.2..................................... ................................................................................ ..........................................E.....I....s.....GZZqNcFLHV/LG4B3..... .....................6E./2E./2U/4MU.02E..........k/Y./....................kNaNaN aN.xzeNaNaNaNawDOaNaNaNa7znSIsuFVf5Rz........................................... ........kz1...................zD........................} Title: Re: Apollonian Gasket 3d Post by: jotero on June 29, 2015, 07:50:10 AM Thank you for your share "m2001"
(http://www.evolution-of-genius.de/3d/fractal/democracy_in_chains_jotero_2015.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on June 29, 2015, 11:32:11 AM Antoher kind of group
I use a group like u plus mobius(1, a) (-a, 1-a*a) translation sqrt(2) translation sqrt(2)j andj*j=-1 quaternion a is an complexe number or un quaternion I use .2+2i Title: Re: Apollonian Gasket 3d Post by: ericr on June 29, 2015, 04:18:42 PM after a very very long time
A Apollonius gasket Cornu Spiral Mandelbulb3Dv18{ g.....S....s/...ET........kDlHAiJaRvzeAacMGhxj0E5osBg/koXzHmO/vL8JQ/.LthhxjXAimD ................................cYCxHXOgsz1........Y./.........E........y.2...wD ...Uz6/..Ea3.....wE./.....U12...NX....k0.....EyIdBKROSqD/wkNVxsD...m/dkpXm1....U z.EnAnQD1A../2...........fNaNaNaN4zD..........A...........U0.....y1...sD...../.. .w1...sDYsAIxzzzjz1..........WAbUdisqcljTcFzUvMS3t97C1JzzzzvzUNehUisqcljMaO9c9iB Ow1mQ0auWPX4zU2bVezzzzyDU.....o50...s/...2.....E.6....sD..G.0................... .............oAnAt1...sD....zw1...................................kNVxsD92....x/ .....Ksulz1.......kz4.gQskEP.65......E0...kF....Z/dEAI2.kzk/....Z....I1....UJg52 Tc3U.08cU0AcU0eQ.06Us.Ak.H..2c..zzzz..EVjiO8eGyj6QwRAgHzGz9.JzHmWnv4.1G/8.klLS4. .QwRAgHzWz9.fjrwdvguz0UfzHx6d2yD/AV0.s2IV/...........sFbG7eFT5wD.UD6HyVzgzP6/c.. FJ3O.............0..........hw1ZBGouzKl28sjfg33..EYyf/TwT.A8HE4DALHiz0k1KGS.G2xj 32W1xvI75...FnTsuwy5.1.XSMY7dYwD.IQeUHkzqy9...8cU0.cU08czz/cU08.U08cUuzDU08c..8c U0OzT/8cU0.cU08cQs5cU08.U08cU0bTU08c..8cU08ly/8cU0.cU08cMw5cU08.U08cUmqTU08c..8c U08kz/8cU0.cU08c...cU08czz/cU08cyz1cU08cxz3cU08c.IKPjtWMh/5.g3aQdFLST3XBs.1Sl.HB E....MEJF3E.....I....A....kLI7LMiB5PVFLN..UQ.................................... ...................wz0....................EnAnAnAnAwzoAnAnAnA1zD................ ................................................................................ .....................2.....3....A....wJHj7KOpB5JkV5............................. ..............................zD.....................cNaNaNaNawj..........2..... .....cNaNaNaNawj..........A..........QxckpX0LD/EOaNaNaNadz9..................... ................................/....E/...k.....TFZQVtqQg34RZ/..m/.............. ..............................................................zDBnAnAnAnkzHnAnAn AnAwz........................................................................... ................................................zzzzz1.......................... ...................................................6./.......................... ................................................................................ ..........................................................kzzzzz................ ..............................................................0E................ ................................................................................ .................................................................0...E/...E/.... /7oPspoPYhIMgZ4.m/..........................5s..................BnAnAnAnkz9..... ..............zDBnAnAnAnkzHnAnAnAnAwz........................................... ............................................................................} {Titel: kleinian_groups_02} Title: Re: Apollonian Gasket 3d Post by: jotero on June 29, 2015, 04:57:50 PM Hello all
out working very nice ericr :embarrass: Apollonian Fractal „Toros“ (http://www.evolution-of-genius.de/3d/fractal/apollonian_fractal_toros.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on June 29, 2015, 08:13:37 PM kleinian group + volm light
Title: Re: Apollonian Gasket 3d Post by: jotero on July 01, 2015, 07:10:11 AM Hello all :D
Kleinian O0 (http://www.evolution-of-genius.de/3d/fractal/kleinian_fractal_sauermann.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 01, 2015, 01:05:42 PM apollonian gasket "paving" a sphere
Mandelbulb3Dv18{ g.....S....s/...ET....6..../.gyqm8I1y0.......U.EenwS1b7r1zPZsJDXitl..ft/iwnfRLvD .................................2IXYUMU8/2........Y./.........E........o.2...wD ...Uz6/..E4......wX./.....Ek....0W....U1.....At2bZZMxLlD/wnNVxsD...m/dkpXm1....U z.....sD1AU./2...........fNaNaNaN4zD..........A...........U0.....y1...sD...../.. .w1...sDmZhXL7KzJw1..........u2SkoqZ16YjAcr4f4uUhpfQNvsJWpT3z2mbhiqZ16YjUwNffRt. 0t1Is/HPLCUEyQpbqKZMxLlDU.....2T/...a8.........E.6....sD..G.0................... .............oAnAtnkpXeDLWeAzw1...................................kNVxsDET....x/ .....Ksulz1.......kz4.gQskEP.65......E0...kF....Z/dEAI2.kzk/....Z....I1....UJg52 Tc3U.08cU0AcU0eQ.06Us.Ak.H..2c..zzzz..EVjiO8eGyj6QwRAgHzGz9.JzHmWnv4.1G/8.klLS4. .QwRAgHzWz9.fjrwdvguz0UfzHx6d2yD/AU0.s2IV/...........sFbG7eFT5wD.UD6HyVzgzP6/c.. FJ3O.............0..........hw1ZBGouzKl28sjfg33..EYyf/TwT.A8HE4DALHiz0k1KGS.G2xj 32W1xvI75...FnTsuwy5.1.XSMY7dYwD.IQeUHkzqy9...8cU0.cU08czz/cU08.U08cUuzDU08c..8c U0OzT/8cU0.cU08cQs5cU08.U08cU0bTU08c..8cU08ly/8cU0.cU08cMw5cU08.U08cUmqTU08c..8c U08kz/8cU0.cU08c...cU08czz/cU08cyz1cU08cxz3cU08c.IKPjtWMh/5.g3aQdFLST3XBs.1Sl.HB E....MEBF3E.....I....c....kL1xaPYZ2RXxKRiFrIrVZA.U4..................6U.06U.06U. 06................EK./......../E...................../........zD........6.2..... ...0./..................6.2........../.......................................... .....................2.....3....A....wJHj7KOpB5JkV5............................. ..............................zDBnAnAnAnox1..........cNaNaNaNawj..........2..... .....cNaNaNaNawj..........A..........QxckpX0LD/EOaNaNaNadz9..................... ................................/....E/...k.....TFZQVtqQg34RZ/..m/.............. ................................tE9mqtvbqz9.....................BnAnAnAnkzHnAnAn AnAwz........................................................................... ..........................................E.....I....A....kLI7LMiB5PVFLN..UQ.... ................................................................tE9mqtvbqzHnAnAn AnAwzoAnAnAnA1zD................................................................ ..........................................................kzzzzz................ ..............................................................0E................ ................................................................................ .................................................................0...E/...E/.... /7oPspoPYhIMgZ4.m/..........................5s..................BnAnAnAnkzvAnAnA nAX..1........zDBnAnAnAnkzHnAnAnAnAwz........................................... ............................................................................} {Titel: kleinian_groups_03} http://arxiv.org/abs/0707.2427 : it is the adresse of a PDF document "An extension of the Maskit slice for 4-dimensional Kleinian groups", with fomulas and examples but impossible to do the same !!! ( for me). I try, try but nothing , I m sure it MUST BE POSSIBLE to do with mandelbulb 3d. [/b][/i] Title: Re: Apollonian Gasket 3d Post by: ericr on July 02, 2015, 12:52:02 PM kleinian fractal + volm light + test of Koebe therom (after riding a text from JOS LEYS)
I hope u like ! Title: Re: Apollonian Gasket 3d Post by: jotero on July 06, 2015, 06:56:29 PM Hello all :D
Apollonian Sphere + HyperMenger. (http://www.evolution-of-genius.de/3d/fractal/apollonian_sphere_hypermenger.png) | (http://www.evolution-of-genius.de/3d/fractal/apollonian_sphere_hypermenger_II.png) | (http://www.evolution-of-genius.de/3d/fractal/apollonian_sphere_hypermenger_III.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 06, 2015, 08:22:37 PM wonderfull !
an exemple of inversion hypermenger Mandelbulb3Dv18{ g.....w....k1.../2....Q...kFoKOIS/w0.5ESy1Evr13EfXP0gdWOozX1XU2Qqkhwzqi11GrH2BzD ................................1LMlmpM.jz1........Y./..................y.2...wD ...Uz6....E9.....wl//.....kE/...O4....Eb.....AfDi93LA9qD.w/........G0dkpXm1.8Qxc w.....kD12U.02kfZF1G0/yvzghBVXt8M.zDJs28dxj0kz1...........U0.....y1...sD...../.. .z1...sDYacj6Uh8jxHcrCoxoNlKzYDK3x6DJ.qjTXTjd3qpHuHMmnsYY3APzAtctUaOsUqDzn07Yye/ ZxXOR32eUF/Nz8ZB97IJKTqDU.....Yj3...7/...2....sD.6....sD..G..................... .............oAnAt1....EMm4Vyw1........................................./2...k1. .....Ksulz1.......kz.wzzz1.U..6.m....61...EB....m....MB....F....6/...I1.....SFz1 ...U.ydelyjeYFnzTeOgzf8No.6.1c..zzzz..EizccZWGyD6EdGkxmWcz1...........k.8.kXWF1. .sM93P58iz9.MmnWK2zwz0..........J2U0.wzzz1..wIUaQ5FazuV4SIRIyUvD.gICycTx2zP.2c.. zzzz.............0...................2./8.kzzzD............8.................... t.U0.k.1A...M4n5/A7mz0kYEkti4xwj..............uBZ.U7EgU7zzFoTu2.oQm2oszDnueM.YXB bYHzTt6Ul/k6Ukl6Qs5crI0.a.l0a.bTUSH7.M029M0ly/uBZ.U7EgU7Mw5crI0.a.l0akqTUSH7.M02 9M0kz/uBZ.U7EgU7...crIGJzzFoTuIdyzngi8qdxzZX.4rU................................ E....MEBF3E.....I....M....kLn/5OZ7LNdtaR..UQ.............................oU30... ...........................................nAnAnAnezz.........zj..........2..... ................................................................................ .....................2.....3....6....w3OZlKOn/LOm34P.waQh/...................... 4MU/..U.0....6....................................QB.Vf53iSIsutD.......aOz1..... ..........................Uyyd4joB7ezoAnAnAnAnyD........kz1..................... ................................A....E/...k0....BJaPbJaQ6Z5QZ75.m/.............. ........................0.......BnAnAnAqZz1........wz.........zD........Uz1..... ...../....................k7lU.fQc3pzcjTel9RHWuDBnAnAnAngz1........wz........... ...........................................2....I....I....EE0x4SBx4N934Pd/UQ.... ......................k/C.........U................wzeNaNaNaNavD........kz1..... ...wz.........zD................................................................ ..........................................................kzzzzz................ ..............................................................0E................ ................................................................................ ................................................................./...E/......... T73QjRrA................................................................U.2..... ................................................................................ ............................................................................} {Titel: inv hyper menger apollo} Title: Re: Apollonian Gasket 3d Post by: ericr on July 07, 2015, 12:51:45 PM other example
Title: Re: Apollonian Gasket 3d Post by: ericr on July 08, 2015, 01:25:57 PM Mandelbulb3Dv18{
g.....8....c....61....2...E1CneLrB.2.LQsdTgWy.5EjM5g2B9uRzH9pouwaDvxz4l.JDVL3LzD ................................971SwQl.fz1........Y.p/.........BnAnAnAni.2...wD ...Uz6...../.....wn./...........x/....Eb.....gWuWCrvi.tD/w1W9dsD/K3o0dkpXk1....E .FEnAngD12U./2.........wz.........zD........kz1...........U5...../2...sD...../.. .z1...oDhijaPMcGjxHlqWcQP23IzscH1yTCPMmj2FClGuZnswPTMYXKY77MzsF.uHR/ViqD28xH3yvf CxnCpmtGMEdOzip0LgxTB1qDU.....I/....2....2....kD.6....2E26O..................... .............oAnAt1...2ExxHjyw1....................................W9dsDB....UA. .....Ksulz1.......kz.wzzz5../........M/...UE....i/...kB....F....6/...A4.....SF5. ...U.0.MzzDg./kz...Uz13...651E//zzzz..k6ZAOFVE2E62I0FkMpR/Q.13Ml3K0J.lY/V6.vpjD. .6X7R402g.2.W.4MUtkG.1UPqnM7p32EJ2U0.wzzz1..wIUaQ5FazuV4SIRIyUvD.gICycTx2zPA/c.. zzzz...uoHNriQ.E.mTqayp9/.A..qgUe0UD.LEAVszz9v3..wCxDe520z98Lx13HPUpz0U1keCrVQ/k t.U0.k.1A...M4n5/A7mz0kYEkti4xwj..............C....wk1Dwzz/..wD.k1DwkvzD.U9...Dw k1TzTpxe...wk1DwQs5s....k1Dwk1bTU1....Dwk1Dly/C....wk1DwMw5s....k1DwknqTU1....Dw k1Dkz/C....wk1Dw...s..kEzz/..wD5yz1.s0EPxzJrf0kd.gKSTB4PjJ5Nic4Qb/.............. E.E..MEJF3E.....I....E....kLWx4SoZ4PdtqN.E1N.o4................................. ...................3./.......E/E........I.2...................zD........Ez1..... ...sz........................................................................... ..........................kzzzzz......ENiRKNmVISkJaQ............................ .............6.......YNaNaNa/Hzj..........oAnAnAnAnzzQaNaNaNatzDOaNaNaNazz1..... ..U../..........orDpsZi7FzXyyd4joB7ezoAnAnAnAnyD........kz1..................... ................................8....E/...E/..../7oPspoPYhIMgZ4.m/.............. ............5s..........................oz9........kzOaNaNaNatyD........kz1..... ...wz........................................................................... ..........................................E.....I....Q....EE0x4SKBpIc34QZB5..... ......................k/..U.......................U2.XNaNaNaNawjBnAnAnAnYz9BnAnA nAz9.1......../E........szH5OFqCTzItz........................................... .....................................................2.....3....B....AJOZ75QdtqQ fZaFpl4P.............................MU/4MU/4...0..............k........kz1..... ...wz.........zD..................cN./.......O3E................................ ...............................E................................/....E/......... T73QjRrA................................................................U.2..... ................................................................................ ............................................................................} {Titel: apollo 333} Title: Re: Apollonian Gasket 3d Post by: jotero on July 09, 2015, 10:41:52 AM Hello all :embarrass:
Apollonian Sphere + HyperMenger „Mandelbulb3D ALPHA 1“ (http://www.evolution-of-genius.de/3d/fractal/apollonian_sphere_%20hypermenger_III_ALPHA1_06.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 10, 2015, 05:08:27 PM into a negative power to a box
Title: Re: Apollonian Gasket 3d Post by: ericr on July 10, 2015, 05:13:07 PM next example same box
Title: Re: Apollonian Gasket 3d Post by: ericr on July 11, 2015, 06:00:43 PM apollonian deforme by a lens into a sphere optic + volm light
Title: Re: Apollonian Gasket 3d Post by: jotero on July 14, 2015, 12:27:53 PM Hallo all :embarrass:
finding kleinian_groups is not difficult but to isolate them already. http://www.evolution-of-genius.de/kleinian_groups.png or hyperbolic 3d !? ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on July 15, 2015, 01:00:29 PM Hello all :embarrass:
Fractal Octagon folding + Sierpinski "hyperbolic 3D" (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_hyperbolic_sierpinski.png) O0 http://www.evolution-of-genius.de/kleinian_groups_hyperbolic_sierpinski_b.png Code: Mandelbulb3Dv18{ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 15, 2015, 02:10:44 PM sublime as always, but we could do that mathematically with the transformation of mobius, inversions and groups see the indications of JOS LEYS
I try but it is very difficult ERICR Fractal realized wich your method Title: Re: Apollonian Gasket 3d Post by: Chillheimer on July 16, 2015, 11:22:19 AM thank you for sharing the formulas and parameters! really a lovely fractal style! :)
I played around with your last parameters (Fractal Octagon folding + Sierpinski "hyperbolic 3D) and this came out: (http://nocache-nocookies.digitalgott.com/gallery/18/7776_16_07_15_11_20_09.jpeg) Fullview: http://nocache-nocookies.digitalgott.com/gallery/18/7776_16_07_15_11_20_09.jpeg parameters: Code: Mandelbulb3Dv18{Title: Re: Apollonian Gasket 3d Post by: ericr on July 16, 2015, 08:29:44 PM an other exemple
Mandelbulb3Dv18{ g.....w...U40...ET.......kEwEfZ8IqNyzGk.gtgCwE1E2YF7MWp2Qz9SWebA32JszMiqammn1Dzj ........................................E.2........Y.FE........E........kz1...wD ...Uz6/..cjE.....wX//...........G5....E4.....omEQgisq6oD.w1.......Ut/xckpr1....6 /F....kD1A../2...........................................EW0/.....2...sD...../.. .w1...sD3Gp1cXn1Ewfo/Y/OPHl8zOn.1Od3VfkDN5ut9YCdXwvPcIHb1TC3zwRWQEkpa8mDcBCi7kBo Xw9VWdAJkCtoyUBAfycXqImjU.....2G....P/...2UaNalD.2....sD/.G..................... .............oAnAt1...sDds0./x1...................................kJy0EE1/....x/ .....Ksulz1.......kzJ.6E.2dT.2C.I....M/...EO....i/cR9kB.UK.A....H/...c4n..UG.h56 Yc3U.0.MzzDg./kz...Uz13..Y7.1c..zzzz............6YCpCckYczH...........U.BwDyhrC. .wUmc2beYz1.dA8E5Exwz0..........7.EF0wzzz1...........U2..........sWP8w.W8zP32YFy XAm6..UUINWDmqjjR.t/8QJAL.2.uOGL2nnLz4U.8.kzzzD............8.................... /6U0.wzzz1....................................C....wk1Dwzz/..wD.k1DwkvzD.U9...Dw k1TzTpxe...wk1DwQs5s....k1Dwk1bTU1....Dwk1Dly/C....wk1DwMw5s....k1DwknqTU1....Dw k1Dkz/C....wk1Dw...s..kEzz/..wD5yz1.s0EPxzJrf0kd.QoErUXAmwZNZ7bPVt4NZdbAk.1Aic4Q E....ME/F3E.....I....c....EGXxqQVVKNY7rPiZYFH/..n/........................U/4MU/ 4M........UaNaNaNat1.pAnAnAnA2zD........kz1........wz........O3E................ ................................................................................ ..........................kzzzzz......kPYJqMVVKNY7rPiZYFHJ4S.................... .....MU/4MU/4.U......cNaNaNaNW.EOaNaNaNqjz1........wz.........zD................ ................................................LYhnrDpstz1........5./.......... .....................................wzzzzD......QaPV75PnEYNVB5R.E4............. ..................U/4MU/.6......vFVf53iSkzXaNaNaNaNizcNaNaNaNavDOaNaNaNaty1..... ...0./.........E...................A./....................gaNaNaNaNizcNaNaNaNavD ........kz1................................0....2....A....EEh3aSdtqNU6oPs/.PY/.. ......................k/9.................kzzzzzzzzwz...........nAnAnAnAlz1..... ................................................................................ .....................................................2.....3....5....2IPVdLOiR46 HJbQa/WA.........................Q..4MU/0....................Uzj................ ...uz........................................60E................................ ................................................................g2...E/....0.... /pKMuZaPb/mIp7bN.A1N........................5.U/4M..0...........lAnAnAnAnz1..... .....sYMEUJC2i2E..............................................................zD .............................U.E............................................} {Titel: apollo 4} Title: Re: Apollonian Gasket 3d Post by: jotero on July 19, 2015, 10:12:08 AM Hello all :embarrass:
Thank you “Chillheimer” for the nice camera perspective and “ericr” I work hard on many solutions O0 (http://www.evolution-of-genius.de/3d/fractal/mandelbulb3d_jotero_2015.png) Original http://les-monts.deviantart.com/art/Perforate-Planet-506105560 ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 19, 2015, 02:22:38 PM Mandelbulb3Dv18{
g.....w....K0...Y/.........dMUPqyx/..Dd//xcua62EgT/RO6bGVzHNYJcsjUzyz6LHe0wVznzj ........................................kz1........Y./.........E.......U4/2...wD ...Uz6/...Ue.....wn./.....kz....e6....E5.....omEQgisq6qD.w1.....D/U30/.........6 //....kD12U./2.........A./................................U0......2...sD...../.. .w1...sDkBVfA028LuPnEYt5OjD8zw436CbbC0jj04Qv88zrcwf7Kh2mSJpky4xuA.V0HXjjgFdfQY4w svPiXrmTz64wygZr9IgJ8XmDU.....oS....p1........kD.2....sD..G..................... .............oAnAt1....E....zw1.........................................L/...k1. .....Ksulz1.....yzzzEwzzzLEN.s3.H0...62...UM.......06YB..UU1....Q....I1.....w35c Uk0U.ydelyjeYFnzI3byzDPk.0.102p.zzzz..UXKca4ZdxD6Q/i5cA0tz1.rsNkbjA8.l/.L.UwhPC. .QzVa8Iecz1..a4GpVHwz.kEXENSiV.k.6U0.wzzz1...........Q8.....................0c.. zzzz.................................2U.8.kzzzD............8.................... /6U0.wzzz1...................................66cZ.EHVMFHF.GoTu2.cxo7cl0EnueM.g5P Dh5CUVNeu0kF.VnFjtbUUK0.B3W3BNfT00O7.oI6Kooyy76cZ.EHVMFH.xbUUK0.B3W3BFsT00O7.oI6 Koomz76cZ.EHVMFH...crIGJzzFoTuIdyzngi8qdxzZX.4rU................................ E....EkAl2E.....I....E....kLVB5NVp4Jm3aPn/kQaxaQh/...................MU/4....... ...................................................szMaNaNaNaNzD........kz1..... .............E/E..........UNaNaNaNavz........................................... ......................1....3....D....2YEjV5Ig34RdtKRh/.......................... .Q..4MU/....BAk.1AU...........zD..........k53iSIsuFvz........O2E................ .....Uf53iSIsuuD.....................MaNaNaNatyD................................ ................................2....E/...U0....BJaPbJaQn.UQjtKG4B3.gJKOY/...... ................4MU/4MU/................6.2........4./........zD........kz1..... ..............................................................................yD ........Uz1........sz.........yD..........E.....I....c....EHZtqNZ7rA..LNm/.Pg/.. ..........................U/4MU/4M................U/./.......00E........E.2..... ...wz.........................................................................zD ........................................................} {Titel: kleinian until infinity} the image is a prevu version use 1000*1000 or more it is better (256 ko maxi !) nb :very well jotero Title: Re: Apollonian Gasket 3d Post by: ericr on July 23, 2015, 08:41:22 PM a loxodrome put on a plan , the light make like a stereographic projection.
I have a spiral. Is it possible to have a cornu spiral ? yes, see http://bugman123.com/Math/index.html but how ? Title: Re: Apollonian Gasket 3d Post by: jotero on July 24, 2015, 06:38:11 AM Hello all :embarrass:
kleinian fractal, i keep working hard :police: (http://www.evolution-of-genius.de/3d/fractal/kleinian_fractal_sauermann_II.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 24, 2015, 12:18:05 PM wonderfull ( did you use sphere inv or an other method)
I work hard also to find spial wich loxdormi :fiery: I have no idea for putting the light Title: Re: Apollonian Gasket 3d Post by: ericr on July 24, 2015, 12:58:10 PM an other exemple of double spiral but never the good one
I take a ftactal in deviantart and modif it but no .... I will become crazy beford If I continu Title: Re: Apollonian Gasket 3d Post by: jotero on July 24, 2015, 01:30:51 PM Hello all :embarrass:
kleinian fractal "no sphere" ericr :) (http://www.evolution-of-genius.de/3d/fractal/kleinian_fractal_sauermann_III_k.png) O0 http://www.evolution-of-genius.de/3d/fractal/kleinian_fractal_sauermann_III.png ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 24, 2015, 01:53:28 PM most wonderfull
you use a polyedron +rotation+ aboxmodkali power -1 ? Title: Re: Apollonian Gasket 3d Post by: jotero on July 26, 2015, 08:39:04 AM Hello all :D
amazing box :beer: (http://www.evolution-of-genius.de/3d/fractal/amazing_box_mandelbulb3d_jotero.png) somewhat better ;D Kleinian groups Mandelbox "amazing box" (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_jotero_2015.png) Zoom in :) http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_end_jotero_b.png and another picture O0 (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_end_jotero_04_II.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 26, 2015, 05:06:25 PM wonderfull
but MAY I HAVE THE PARAM PLEASE or only a tip I TRY DOING THE SAMEE BUT NOYHING ERICR Title: Re: Apollonian Gasket 3d Post by: ericr on July 27, 2015, 08:41:52 PM Mandelbulb3Dv18{
g....ET....x/...ET........U1W4M8eNC6.HkttdqZZ3/EVj7HYHcv..w9sVzrw8s5.ZpNTeRvp3/k ................................BOW5zp2jlz1........Y.7/.........nAnAnAnQ5/2...wD ...Uz6...........Q.0/....2......4/.....j.....2nGUhVdAyqD.Q.W9dsD/K3o0dkpXk1.YH/j /FEnAnQD12../2UNaNaNaN4yzcNaNaNaNazD........qz1..........kU5.....y1...sD...../.. .z1...sDTjm1sh5MixXCpFNuVo9IzsQDZyBqRamjrFUi2U6luwvRbc4hBfGMzQRxhk3v/dqD.mcdCLBK DxHcf33yWmFOzu.14Crge3qDU.....26....B.........kD.6....sD..G..................... .............oAnAt1...sD...m0x1....................................W9dsD5....2.. .....Ksulz1.......kz.wzzz5.U..6.P....61...EB....U0...s/....F....6/...A4.....SFD1 ...U.0aZczDM6/nzMg2czX6dE16.0c..zrhe...pMnDnNqyD6.Dbqxm4Iz1...........U.8.UQgk0. .wUmc2beYz1.dA8E5Exwz0........../6U0.YnFP/..fjrwdvgqzs/Fbf24LNyD..........E3l6Iz y1hS..UntEsqczzD.ujLGRYA/z1.GqgUe0UD.LEAVszz9v3..wCxDe520z98Lx13HPUpz0U1keCrVQ/k 36/3yzDlJ/..y7sgDCRkz..ADOsW3Kxj.YgRrQMAL.A..UTVR..y3q/yzz/k.1A..1Ak.vzDsnwF.UDn 5VTzThdht0kaqaPiQs5y3q/.sLM5s1bTsLM5.UTVRUDlyVTVR..y3q/yMw5y3q/.sLM5snqTsLM5.UTV RUDkzVTVR..y3q/y...y3q/bzz/k.1Akyz1yATomxzpaqaff.gKSTB4PjJ5Nic4Qb/.............. E....I.B/3E.....I....I....EE0x4SBx4N934Pd/UQ..........................k/C....... ..........U........uzKaNaNaNaNwDoAnAnAnA/.2........../.........E................ ................................................................................ .....................E.....3....9....oINiRKNmVISkJaQ............................ .............6...............szD9nAnAnAnC.2nAnAnAnAyzENaNaNaNavDaNaNaNaN8.YaNaNa NaNvz0........../fQc3NvwRzXyyd4joB7ezoAnAnAnAnyD........kz1..................... ................................0....E/.........T73QjRrA........................ ........................................U.2..................................... ................................................................................ ..........................................E.....I....I....EE0x4SBx4N934Pd/UQ.... ......................k/C..................HrYMEUJCwzCNaNaNaN4xD........kz1..... ...wz.........zD................................................................ .....................................................2.....3....8....AJOZ75QdtqQ fZqA.................................MU/4MU/4........MaNaNaNaVzjmAnAnAnAG.2aNaNa Natyz........UyD................................................................ ...................wz...................kz1.....................} {Titel: apolo 20 juillet 15} i give the param it only the 1st Title: Re: Apollonian Gasket 3d Post by: ericr on July 27, 2015, 10:49:00 PM Mandelbulb3Dv18{
g.....V1...X8...M7...2Q..IltuW96d/06.vUUugWsHW7EPx/k2GqrszXWyTpAQDLyzQgLgGxhzw/k ................................7HBUYwIsj.2........Y.l/H................y.2...sD ...Ez6/..Eq92.../M.1/....2E12...o2....E3.....QuyzmkQ.CkD/M.vdRwD.../0dkpXk1....k .7EnAnQD12..12EnAnAnAng0.dNaNaNadQ.kaNaNaNaNWz1...........U0/....y1...sD...../.. .z1...kDveVfPyogYwP1Taf43h87zcq2loCRmAbjeoL.xB.zXvvn5FnBAqwsy89/HAT6nomDo8mNnaNc Ywnw8V.hIb87zwu5Vb6EWkiDU....82qQ...yg....UaNalD.2....sD..G..................... .............MaNax1...sD....z.Xcs9..............Bj0...............Uza6/EW....k1. .....Ksulz1.......kzFxzzz1UU.66.h....E5...kC....i..C6g3.EU.A....c....IH....UiJ52 8x2U.ydelyjeYFnzTeOgzf8No...1Amzzzzz..EizccZWGyD6EdGkxmWcz1...........k.8.kXWF1. .sM93P58izv.MmnWK2zwz0...........2W0.6nAu...mIqp.taszs/osMgdlHzD.gM3ZaYq1zP..c.. 0RH9...Fbf24LNvj.AL9s6JkUz9..........IF6I..VHx0..cpnSPCqaz18k5LfQvXwz0ka5DlJDw.E JEW0zH09r...oIRnIlIqz.kJXNw/X0xj.6zUrWWqG.2...uBZ.Exfbi7zzFoTu2.ouucoszDnueM.I6V jZHzTt6Ul/kcNus6Qs5crI0.KeIDa.bTUSH7.ItW8O0ly/uBZ.URtsW7Mw5crI0.bucWakqTUSH7.MSt ZP0kz/uBZ.U05QU7...crIGJzzFoTuIdyzngi8qdxzZX.4rU................................ E../.AU.V2U/....I....o....kHXFrGjB4O.A3.o/................................U/4MU/ 4M...6....EBnAnAnAnqzGnAnAnAnW0kaNaNaNaNV.A........oz........................... ..............................................zD..........2..................... .....................k.....3....0....wJEh3aSdtqN0x4S............................ .Q...........................8zD8nAnAnAnKz1nAnAnAnQ5./......cx1E................ .....oAnAnAnAHxD................................................................ ................................U....E/....0..../pKMuZaPb/mIp7bN................ ............5.U/4M..0...........BnAnAnAXvznNaNaNaNqkz.......kE/E.......U4.A..... ..92./.......a.kaNaNaNaNay1..................................................... ............................................} {Titel: } Title: Re: Apollonian Gasket 3d Post by: ericr on July 28, 2015, 01:48:38 PM Mandelbulb3Dv18{
g.....S...kN/...ET.......I/Tbs5KDZEpzy6e0lGYau.Eq0eHUoZfpzX0Hb.YAsMiz0Y3lsORkavj ................................RSVkOlaUl.2........Y.l/H................y.2...sD ...Ez6/..cD......sX./.....kh....P2....U5.....QHqacxtY0nD...vdRwD.../0dkpXk1....6 /7....sD16U./2kAnAnAnAn..dNaNaNadI.kBnAnAnAnQz9...........U0/....y1...sD...../.. .z1...sDqfKkMTCdkw1..........mBXOsJ23hZjciaG7EiJ4qfxe3AqbH8Az.tvEjJ23hZjByCoP3FF PtHqAeVLFIoKyM9zPRxtY0nDU....820.........2UaNalD.2....sD..G..................... .............MaNax1...sDFNcKy.Xcs9..............Bj0...............Uza6/EZ....2.. .....Ksulz1.........8wzzz5../c4.P....61...k7....m..06s3..U.A....c....IH....Ui353 8x2U.avrazDjTCszzzzzzzzzz1..1c..enTg............6wyBIC4OWz1...........Y/8..1fk1. .wUmc2beYz1.dA8E5Exwz0........../QU0.wzzz1...........UI92FpyVY.E.sWP8w.W8zP.2c.. zzzz............i1...................2./8.kzzzD............8.................... t.U0.k.1A...M4n5/A7mz0kYEkti4xwj.............QjX.1kqYltqiC0pey/.P467PanJdscb.kWM dZK.yRjX.1kqYltqYtrxC0A.PH4bPPfTrv6k.gBNQiBxyRjX.1kqYltqXxrxC0A.PH4bPjtTrv6k.gBN QiRizRjX.1kqYltq..kxC0wgz60peyldoMJ8CuNQfs3.jyeS................................ E...2EkAl6......I....M....kLn/5OZ7LNdtaR..kI.............................oU30... ...................................................0./.........E........E.2..... ................................................................................ .....................2.....3....8....oINiRKNmB1..w4S.A3......................... .....MU/4MU/4................Ezj..........2........../.........E................ ................................................................................ ................................B....E/...U.....T3IPVdLOiRaEjV5................. ............5...................OaNaNaN4nz9MnAnAnAnYzmAnAnAnAr/E.......Oz.2..... ................BnAnAnAnIz1..................................................... ...........................................6....I....U....EEh3aSdtqNUAJRmN4..... ......................k/.MU/4.U...........UaNaNaNa3yz2.......cvD.......AI.2..... ..c/.1......k0/E.......U7.gNaNaNaNadz........................................... ........................................................} {Titel: apollo 20 2015~3~} Title: Re: Apollonian Gasket 3d Post by: jotero on July 28, 2015, 01:49:37 PM Please some patience ericr O0
(http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_cube_jotero_III.png) (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_cube_jotero_V_k.png) (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_cube_jotero_IV_k.png) torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 28, 2015, 07:37:13 PM I m sorry, but what you do is so wonderfull + amazing
it is hard to wait ERICR Title: Re: Apollonian Gasket 3d Post by: jotero on July 30, 2015, 12:45:26 PM Hello all :embarrass:
Mandelbox "amazing box" (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_cube_jotero_IIV_k.png) best start O0 Code: Mandelbulb3Dv18{ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 30, 2015, 02:56:17 PM thx jotero some examples i use your param
kleinian group are like fractal graal Title: Re: Apollonian Gasket 3d Post by: ericr on July 30, 2015, 02:57:05 PM next
Title: Re: Apollonian Gasket 3d Post by: jotero on July 30, 2015, 05:54:07 PM So what would have been nice ericr :beer:
(http://www.evolution-of-genius.de/3d/fractal/ericr.png) (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_jotero_VIII_k.png) O0 http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_jotero_VIII.png Title: Re: Apollonian Gasket 3d Post by: ericr on July 30, 2015, 08:16:56 PM I hope that our adventure will not stop there way .
There are still many fractal Kleinian to find if you agree , for me it is just beginning see the Jos Leys site for ideas for the future example : 4d fractals friendships ERICR Ich glaube, dass Sie in Hamburg sind, bin ich Moselle wir Nachbarn sind Title: Re: Apollonian Gasket 3d Post by: m2001 on August 01, 2015, 11:21:56 AM detail/textured view :dink:
Code: Mandelbulb3Dv18{Title: Re: Apollonian Gasket 3d Post by: ericr on August 01, 2015, 01:05:57 PM Mandelbulb3Dv18{
g.....S....s/...ET.......EUh4T.....6.v/ZwOWDmr4E0sSOgz.zWv1.U4UvDkjsyAEc9vKggQvD ................................ca2vWz9uVz1........Y./..................y.2...wD ...Uz6...........wW//.....UQ....p2....Eb.....IEecFen3/sD/w0........G/dkpXm1.v2Zw y.....kD12U.02EnAnAnAnAXzOaNaNaNaxsDOaNaNaNa7x1...........U0.....y1...sD...../.. .z1...sDyHn0XuQFkx1..........WdxunWEdedjKzJsm/op3rfzogkcCL2QzUoOyeWEdedj8haje6Ie OuHcqfD90ZeayQDkh4en3/rDU.....2I....91...2....sD.6....sD..G..................... .............oAnAt1....EWBTZzw1.........................................U....k1. .....Ksulz1.......kz5wzzzL.U..6......61....1....m..06c3..U.F....8/...Yn1...UJlT9 ...U.ydelyjeYFnzTeOgzf8No.6.1YV.zzzz..EizccZWGyD6EdGkxmWczH...........k.R3kzzzD. .sM93P58iz9.MmnWK2zwz0........../6U0.wzzz1...........s/...................E.0c.. zzzz.............0...................2U.8.kzzzD............8.................... /6U0.wzzz1....................................uBZ.U7EgU7zzFoTu2.oQm2oszDnueM.YXB bYHzTt6Ul/k6Ukl6Qs5crI0.a.l0a.bTUSH7.M029M0ly/uBZ.U7EgU7Mw5crI0.a.l0akqTUSH7.M02 9M0kz/uBZ.U7EgU7...crIGJzzFoTuIdyzngi8qdxzZX.4rU................................ E....ME3F3E/....I....Y....EHVt4NVlKMtpmG7NoI..........................k/.MU/4... ...................qzCnAnAnAnc.EBnAnAnAnoz9.......V4./.......6zj.......Ee.2..... ...wz...................kz1..................................................... .....................k1....3....1....wZIjFLMoJ4................................. 4MU/.......................Uyd/E......ETR.2.......Yhz0.......................... ................................................................................ ................................1....E/....0....TFZQVtqQaxaQh/.................. ................3IE/0...........oAnAnAnlVznAnAnAnAvZzOaNaNaNaVsj................ .............Oxj.......MWz1........wz........................................... ..........................................E.....I....k....kLBxaMdJrQI/5S........ ..........................................kNaNaNaNapz..........EaNaNaNaCjz9..... ..........................................................UaNaNaNaNmzcNaNaNaNaxj OaNaNaNSxy9..........................................Q/..../....1....2IPVdLOiR46 0x4S.............................Qk0..........................zDnAnAnAnA1znSIsuF Vf5vz........................................................................... ................................................................1....M....k..... 4x4PYZaPb/GGiF56ExqR......................U0.U..........................E.oAnAnA noYW.dNaNaNaNC.E................................................................ ............................................................................} {Titel: kleinian +mobius~12} I give no figure, cos if you modifi the parm of 1st formula u can make a lot of keinian group try to modifi the mobius, an loxodromique on give a good result Title: Re: Apollonian Gasket 3d Post by: m2001 on August 01, 2015, 02:15:16 PM nice setup ericr! i render a tweak - think it takes 1-2 hours
Title: Re: Apollonian Gasket 3d Post by: m2001 on August 01, 2015, 03:24:39 PM tweak of ericr`s
Code: Mandelbulb3Dv18{Title: Re: Apollonian Gasket 3d Post by: jotero on August 02, 2015, 01:23:56 PM where I want to :dink:
(http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_jotero_IX_k.png) Title: Re: Apollonian Gasket 3d Post by: ericr on August 02, 2015, 02:29:28 PM wonderfull done
ERICR Title: Re: Apollonian Gasket 3d Post by: jotero on August 04, 2015, 08:22:21 AM not beautiful but interesting :embarrass:
(http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_jotero_X_k.png) O0 http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_jotero_X.png ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on August 04, 2015, 10:44:00 AM An other example, different but to make another one
I must learn about Mobius group, kleinan group and understand the like between group and a fractal picturs Title: Re: Apollonian Gasket 3d Post by: ericr on August 04, 2015, 10:47:26 AM I try to make it
but no result, no idea and all the formulas are given on jos leys site !!! but ... Title: Re: Apollonian Gasket 3d Post by: jotero on August 04, 2015, 12:37:25 PM Hello all :)
ericr start here O0 http://www.fractalforums.com/3d-fractal-generation/a-3d-kleinian-group/ and.. Code: Mandelbulb3Dv18{Title: Re: Apollonian Gasket 3d Post by: ericr on August 04, 2015, 08:27:46 PM thank you
but make a cornu spiral ... I can t , that's why I need a math supplement (group möbius and Kleinian group ) I must first learn and understand it ERICR Title: Re: Apollonian Gasket 3d Post by: m2001 on August 04, 2015, 10:08:11 PM @torolf - sorry for things around the fractal
Code: Mandelbulb3Dv18{Title: Re: Apollonian Gasket 3d Post by: m2001 on August 08, 2015, 09:40:22 PM setup is simple-good :)
Title: Re: Apollonian Gasket 3d Post by: m2001 on August 08, 2015, 09:41:00 PM glass ...
use a wood texture for heightmapIFS: https://www.google.de/search?q=wood+texture&espv=2&biw=1361&bih=895&tbm=isch&tbo=u&source=univ&sa=X#q=wood+texture&tbs=isz:lt,islt:4mp,ic:gray&tbm=isch and a dirt/scratched gold texture for object-color https://www.google.de/search?q=wood+texture&espv=2&biw=1361&bih=895&tbm=isch&tbo=u&source=univ&sa=X#tbs=isz:lt%2Cislt:4mp%2Cic:color&tbm=isch&q=gold+texture Code: Mandelbulb3Dv18{Title: Re: Apollonian Gasket 3d Post by: Chillheimer on August 08, 2015, 10:31:10 PM wow! the glassbulb looks incredible! :o
how do you achieve this glass effect? is it a feature of mandelbulb3d? Title: Re: Apollonian Gasket 3d Post by: m2001 on August 08, 2015, 11:47:54 PM yep, all mb3d ... i post paras and textures when back on pc. thx from tablet :)
Title: Re: Apollonian Gasket 3d Post by: m2001 on August 09, 2015, 07:15:03 AM paras added
http://www.fractalforums.com/gallery/apollonian-gasket-3d/msg86355/#msg86355 Title: Re: Apollonian Gasket 3d Post by: ericr on August 14, 2015, 06:27:59 PM kleinian fractal put on (in ) a sphere , the deformation is normal ( optical illusion)
ERICR Title: Re: Apollonian Gasket 3d Post by: jotero on August 14, 2015, 11:10:13 PM O0 Zoom in :embarrass:
http://www.evolution-of-genius.de/3d/fractal/apollonian_sphere_%20hypermenger_III_ALPHA1_07.png Title: Re: Apollonian Gasket 3d Post by: jotero on August 22, 2015, 10:44:10 AM apollonian gasket 3d sauermann 2015
http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_22_08_2015.png Zoom in :embarrass: Title: Re: Apollonian Gasket 3d Post by: ericr on August 22, 2015, 01:25:48 PM wonderfull but very hard to do I think !
ERICR Title: Re: Apollonian Gasket 3d Post by: jotero on August 24, 2015, 06:34:51 PM Merci ERICR :embarrass:
http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_27_08_2015.png Title: Re: Apollonian Gasket 3d Post by: jotero on August 29, 2015, 08:33:43 AM Hello all :embarrass:
Lotus Fractal (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_lotus_fractal_sauermann.png) Zoom in http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_03_09_2015.png http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_22_08_2015.png ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on August 29, 2015, 04:04:38 PM Wonderfull like the other
Did you use parm like repri 64 or poincre fonction to jump into hyperbolic space Ericr Title: Re: Apollonian Gasket 3d Post by: ericr on August 30, 2015, 10:58:01 AM Mandelbulb3Dv18{
g.....c....U0...w....22...kGI/1Pgt72.jLxt7bAgn2ExDDxC7hyK.wTGLXv33CwzSythZyzdtvD ................................Z3Tgeyxwkz1........Y./..................y.2...wD ...Uz6........../s50/.....EV....65.....b.....UyXAVgG7bqD/..........m/dkpXm1....U z.EnAngD12U./2EnAnAnAnAXzOaNaNaNaxsDOaNaNaNa7x1...........U0.....y1...sD...../.. .z1...oDPH7e7Rw5JuXndsqG5zFZy671tDgG7bqD1X5kMpUH/rPDC9Wl8ZQOz6eVcaolTIdjxsg64fIm dx9LXCxQhnoBvI.CiholTIdDU.....Ii.........2....sD.6....sD..G.0................... .............oAnAt1...sD....zw1.........................................w....k1. .....Ksulz1.......kz.wzzz5.U.g5.P....61...EB....m....c3...Utzzzz8/...Yn1..EkJt56 ...U.ydelyjeYFnzTeOgzf8No.6.123.zzzz..EizccZWGyD6EdGkxmWczH...........k.Q.Uyp5D. .sM93P58iz9.MmnWK2zwz0........../QU0.wzzz1...........sF92FpyVY.E.sWP8w.W8zP.0c.. zzzz.............0...................2U.8.kzzzD............8.................... /6U0.wzzz1....................................uBZ.U7EgU7zzFoTu2.oQm2oszDnueM.YXB bYHzTt6Ul/k6Ukl6Qs5crI0.a.l0a.bTUSH7.M029M0ly/uBZ.U7EgU7Mw5crI0.a.l0akqTUSH7.M02 9M0kz/uBZ.U7EgU7...crIGJzzFoTuIdyzngi8qdxzZX.4rU................................ E....ME3F3E.....I....I....kLkxKOiBKMmJ4.gJrQ................................4M.. ..........EnAnAnAnAszeNaNaNaNauDOaNaNaNa7z9........yz.........zD.......UK/2..... ..cJ./........yD........Uz1........sz........................................... .....................2.....3....8....oINiRKNmZYFH/5PpB5......................... .....MU/4............YNaNaNab4zjth.7csThG.YL/WSGNCg..PaNaNaNaR.k................ ..cJ./.......O3E........Uz1........sz.........yD................................ ................................1....E/....0....TFZQVtqQaxaQh/.................. ................3IE/0..................5kznAnAnAnAvZzOaNaNaNaVsj................ .............Oxj.......MWz1........wz........................................... .........................................../....I....k....kLBxaMdJrQI/5S........ ..........................................UaNaNaNaNizcNaNaNaNawD........kz1..... ..........................................................ERVMpT244iz2iM3pUdVVwj Gbu8TKSSiz9..........................................I/..../....1....2IPVdLOiR46 0x4S.............................Qk0..........................zDnAnAnAnA1znSIsuF Vf5vz........................................................................... ................................................................/....M....k..... 4x4PYZaPb/GGiF56ExqR......................U0.U............................2..... ..0X./.........E................................................................ ............................................................................} {Titel: mandelbox_jotero~61~hyperbolique~2} Title: Re: Apollonian Gasket 3d Post by: jotero on September 02, 2015, 08:57:47 AM Hi all :embarrass:
Merci Ericr O0 mathematische Kunst. Apollonian Fractal Sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_07_09_2015_K.png) mathematische Kunst. Apollonian Fractal Sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_12_09_2015_k.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on September 03, 2015, 08:10:14 PM other kleinian group + volum light
Title: Re: Apollonian Gasket 3d Post by: ericr on September 04, 2015, 01:18:39 PM de combin kleinian+ifs
Title: Re: Apollonian Gasket 3d Post by: jotero on September 19, 2015, 08:12:25 AM Hello all :embarrass:
apollonian fractal 3d sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_13_09_2015_k.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on September 19, 2015, 04:45:35 PM kleinian group
Mandelbulb3Dv18{ g....ET...UR/...E/...IM..6E1SqkW3v/3.PNB9EWXpB/k4eT6y27mky1/rr83p4JszUu.a4Jq4E/k ................................oH.QcH9NZ/2........Y.ZD.........BnAnAnAHB/2...oD ...Ez6/..cZ0.....Q.1/....2kF4...j6...2EiK0F/wIBDLWJhbcjD/QU8qsrDXfe7.pAnAr1.B4hg y6EnAnID12../.........W..PaNaNaNa7yjnAnAnAnQW.A...........U0/....y1...sD...../.. .z1...kDOnVQuoU8cvPt/Suxn4cxyk/k6gdssNhD.QU/Gb8tbv9W/IWP6wityKQqIlwpyEjDZY8vMbas nvndZ2bSyHmqyoY93XHUbwiDU....5YK....J/........sD/2....sD..G..................... .............oAnAr1...sD6zSXzw1.................W1HLxPtb91........U/vC.Ew....k1. .....Ksulz1..........wzzz5.U..6.Z0...61...EX....m....c3...UB....9/...Qnz....SlzW ...U.8YL8yzlci6.0tZW..ClU16.2c..U1Cs...MarH7iXyD6oa4dabdnz1..........2U.8.UQgk0. .wUmc2beYz1.dA8E5Exwz0..........I2UFvzzzz1..p6uErv7ezslj2vvH43yD.UFTYbd0I.Q.0c.. zzzz.............0...................2U.8.kzzzD............8.................... /6U0.wzzz1....................................8cU0.E./2EV901YOB../2E.tUBoE1B..2E ./YUAxTw0/.E./2ExzJsS3C../2E./bTU08c..2E./2ly/8cU0.E./2EMw5cU08../2E.lqTU08c..2E ./2kz/8cU0.E./2E...cU08czz/cU08cyz1cU08cxz3cU08c................................ E../.Ek2l2E.....I....6....kL8J5Pd3qIZFrQ.MoI.61................................. ..........EnAnAnAnArz.........yD........kz1..................................... ...wz...................kz1........sz........................................... ....................../....3....0....wJEh3aSdtqN0x4S..UFH/...................... .Q...................MaNaNaNa/zD.........z1........wz........E/E........I.2..... ...3./..................kz1.............................kz1........0./.......... ................................/....E/...k.....T7pPo34RZ/...................... ..........U/4M....................................o7./.......................... ................................................................................ .........................................../....2....A....EEh3aSdtqNU6oPs/.6m... ......................k/9.................knAnAnAnG0./.................Enz1..... ................................................................................ ........................................................} {Titel: coin indra~2} for num 3 it's almost the same param Title: Re: Apollonian Gasket 3d Post by: ericr on September 20, 2015, 02:50:00 PM kleinian group + hmap
Title: Re: Apollonian Gasket 3d Post by: jotero on September 24, 2015, 07:46:07 AM Hello all :D
apollonian fractal 3d sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_24_09_2015_k.png) (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_23_09_2015_k.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on September 24, 2015, 02:28:06 PM an other way
Title: Re: Apollonian Gasket 3d Post by: ericr on September 24, 2015, 07:33:49 PM other example
Title: Re: Apollonian Gasket 3d Post by: jotero on October 03, 2015, 09:00:00 AM Hello all :dink:
Your last picture ericr :embarrass: I think it's very good. apollonian fractal 3d sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_25_09_2015_k.png) (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_26_09_2015_k.png) (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_27_09_2015_k.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: quaz0r on October 03, 2015, 11:46:36 AM very nice!
Title: Re: Apollonian Gasket 3d Post by: ericr on October 03, 2015, 02:42:48 PM thank you but :
1 I think yours are better 2 I don t know how you do 3 the param of this fractal Mandelbulb3Dv18{ g.....c....U0.../....22....sAjhx62D0.L5OMbaZyO4EKt0bxxAofzfmoWmJ0cdtzkPeYSVfIfyj ................................3B28KuGmzz1........Y./.........E........y.2...wD ...Uz6....E1..../M.0/.....Uv0..../....E3.....MTLS9hQ/ipD/..........m/dkpXm1....U z.EnAngD12../2.........wz.........zD........kz1...........U0.....y1...sD...../.. .z1...oDqsvJz9JnKxHWWvx4.3xEzwTZ.NvJ6SojyMoTnP00xtHb2BWnMaEJzcSjUIQCs4pDG7wZn9zk Cx1N5Dn9b3KHzWqDiYyRk3pDU.....oB..............sD.6....sD..G..................... .............oAnAt1...sD.....w1.........................................5....k1. .....Ksulz1.......kz.chqO1.U..6......61...EC....m....Y3....F....8/...I1.....TN52 ...U.u5e.jhf9Bnqz9OSP9/Sn/665c..RrRr............6.........E..0........o.8.U6W60. .sM93P58iz9.MmnWK2zwz0........../6U0.wzzz1...........s/...................E.0c.. zzzz.............0...................2U.8.kzzzD............8.................... /6U0.wzzz1....................................Dw...Pgl4PGM.wk1..gl4Pg7/4.cqZ.k4P glKthsUnp1.gCV0g2q1.eF7.gl4Pg74Kk1D..6cUS6sRfBoZC/.Pgl4P75rELu2.gl4PgduTk1D..k4P gl42.0Dw...Pgl4P...wk1UpiuW1CLTaWQ3wk1UpRrqELuYR................................ E6..3ME2G7E.....I....c....EEkx4PgxqA2pGG4B3..............................MU/46.. ................................xxHBSdPmqz1..................................... ...0.BmqtvbOwGvDXcoS1y0HWzH6k85OFqi1./.......................................... .....................2.....3....B....6qPsZYFH/..m7HG4B3......................... ....Cs....E.06E./.............zD........kz1........wz..........EVf53iSIskz1..... ...............E..............................zD...................wz.........zD ...................yz...........1....E/...E/..../7oPspoPYhIMgZ4.m/.............. ............5s..................BnAnAnAnwzfNaNaNaNasz.........zD........kz1..... ...wz........................................................................... ................................................zzzzz1.......................... ...................................................6./.......................... ................................................................................ ..........................................................kzzzzz................ ..............................................................0E................ ................................................................................ ................................................................./...E/......... T73QjRrA................................................................U.2..... ................................................................................ ............................................................................} {Titel: Apollonian~ifs~5} for the moment I try to use seashell ( last formula) to do a kleinian fractal Title: Re: Apollonian Gasket 3d Post by: ericr on October 05, 2015, 05:07:03 PM new kleinian
Title: Re: Apollonian Gasket 3d Post by: ericr on October 05, 2015, 05:07:53 PM new kleinian 2
Title: Re: Apollonian Gasket 3d Post by: ericr on October 06, 2015, 08:42:53 PM next 1
Title: Re: Apollonian Gasket 3d Post by: ericr on October 06, 2015, 08:44:21 PM next 2
Title: Re: Apollonian Gasket 3d Post by: jotero on October 18, 2015, 11:05:30 AM Hello all :embarrass:
kleinian groups 3d hyperbolic cube II sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_hyperbolic_02_10_2015_k.png) Zoom in :) https://plus.google.com/u/0/111316695433986539322/posts/9ceaPXyoBto (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_hyperbolic_sierpinski_10_10_2015_k.png) (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_29_09_2015_k.png) (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_15_10_2015_k.png) interesting O0 Code: Mandelbulb3Dv18{ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on October 19, 2015, 08:33:47 AM hello all :dink:
apollonian fractal 3d sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_01_10_2015_k.png) Zoom in :) https://plus.google.com/u/0/111316695433986539322/posts/HiYUfjTgG31 ciao torolf Title: Re: Apollonian Gasket 3d Post by: m2001 on October 19, 2015, 04:50:43 PM thx for sharing!!!
http://matze2001.deviantart.com/art/Kleinian-Group-Mandelbul3D-with-Paramter-566906229 http://matze2001.deviantart.com/art/Mandel-Bug-Mandelbul3D-with-Parameter-567127343 Title: Re: Apollonian Gasket 3d Post by: jotero on October 21, 2015, 10:09:24 AM Hello all :embarrass:
beautiful fractals that we can conjure up :dink: apollonian fractal 3d sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_16_10_2015_k.png) Zoom in O0 https://plus.google.com/u/0/111316695433986539322/posts/9A6fwfM5KAU?cfem=1 apollonian universe fractal sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_17_10_2015_k.png) Zoom in https://plus.google.com/u/0/111316695433986539322/posts/TUvbAoYB6qG apollonian cube fractal sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_18_10_2015_k.png) Zoom in https://plus.google.com/u/0/111316695433986539322/posts/VipNSUVAW6y ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on October 21, 2015, 04:17:35 PM heightmap + keinian group
Title: Re: Apollonian Gasket 3d Post by: jotero on October 29, 2015, 08:18:59 AM Hello all :embarrass:
apollonian fractal sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_27_10_2015_end_k.png) Zoom in O0 https://plus.google.com/u/0/111316695433986539322/posts/2kTFCHvzwpZ blender particle system apollonian fractal sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_blender_2015.png) Zoom in :) https://plus.google.com/u/0/111316695433986539322/posts/XMfo6pKeadV ciao torolf Title: Re: Apollonian Gasket 3d Post by: M Benesi on October 29, 2015, 07:02:20 PM Awesome. I didn't notice this until EricR pointed me in the right direction!
Title: Re: Apollonian Gasket 3d Post by: jotero on November 05, 2015, 12:01:10 PM Hello all :embarrass:
Merci M Benesi :dink: apollonian + menger fractal sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_28_10_2015_end_k.png) Zomm in :) https://plus.google.com/u/0/111316695433986539322/posts/dekdYLAL5Ya apollonian fractal sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/mandelbox_apollonian_sauermann_4_10_2015_k.png) Zoom in :) https://plus.google.com/u/0/111316695433986539322/posts/CrFWgmdnTos ciao torolf Title: Re: Apollonian Gasket 3d Post by: DarkBeam on November 05, 2015, 12:23:53 PM With this modification you will see the Apollonian universe... filled with infinite fractals :o
Mandelbulb3Dv18{ g.....S....s/...w....2....kpC2YFDR.5.j.o4l55zU5EdU.5lH0HI.oPQIPe12y2.nsMAyjLNS/E ................................oSV9fPwQKz1........Y./..................y.2...wD ...Uz6.....7..../M.0/.....kk....n1....E3.....Qzd6IqkpbsD/..........m/dkpXm1....U z.....kD12../2.........wz0........zj........kz9...........U0.....y1...sD...../.. .z1...sDQN9PCzyPyxHHnVcJFQ8VzYSUcRms6zpDID5GCbfPyxP8Xt089JPPzUaenrZZhCsDAPoOwuJ0 xx1GAdhIzevSzCQb4.yZp/sDU.....IU..............sD.6....sD..G.0................... .............oAnAt1...sD....zw1.........................................w....k1. .....Ksulz1.......kz.wzzz1.U..6.P....U5...EB....m....c3....F....6/...I1.....SF52 ...U.qFG9yzb2zzzRYoWzz7lz16.pc..zXCc..kvrEtMc7xD6ocyFE0ujz1..........2.28.kFrA0. .Ub96aAIVz9.1se7Umvxz0........../EU0.wzzz1...........s/...................E.2c.. zzzz.............0...................2./8.kzzzD............8.................... /EU0.wzzz1...................................2CcN/UvNPcveeWCNq0.yRiibHJJUk1f..XR SvBmx3CcN/UvNPcvQsLsUa3.ibhVi1bTV1OK.sSq4uCly3CcN/UvNPcvMwLsUa3.ibhVinqTV1OK.sSq 4uCkz3CcN/UvNPcv..EsUa3feeWCNqGQIJ36wk8EwyLsUa3f................................ E....ME/F3.3....I....I....EE0x4SBx4N934Pd/UQ..........................k/C....... ...................wz0..................kz1........wz.........zD................ ................................................................................ ..........................kzzzzz................................................ ..............................0E................................................ ................................................................................ .....................................wzzzzD..................................... ........................................U.2..................................... ................................................................................ ................................................zzzzz1.......................... ...................................................6./.......................... ................................................................................ ..........................................................kzzzzz................ ..............................................................0E................ ................................................................................ ................................................................./...E/......... T73QjRrA................................................................U.2..... ................................................................................ ............................................................................} {Titel: Apollonian-everywhere~} Title: Re: Apollonian Gasket 3d Post by: M Benesi on November 05, 2015, 07:24:18 PM Hello all :embarrass: Merci M Benesi :dink: apollonian fractal sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/mandelbox_apollonian_sauermann_4_10_2015_k.png) Do you mind sharing parameters for the last one (the sphere shaped on under the Menger)? I'd like to play with it and the new sphere-->cube, cube--sphere transforms we have for M3D (which are in this thread (http://www.fractalforums.com/mandelbulb-3d/a-few-formulas-%28for-luca-d%29/msg88421/#msg88421)here on FF). Beautiful work! Title: Re: Apollonian Gasket 3d Post by: jotero on November 07, 2015, 01:42:16 PM hello all :embarrass:
yes M Benesi :D (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_06_11_2015_k.png) Code: Mandelbulb3Dv18{ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on November 07, 2015, 01:58:24 PM Hello all :embarrass:
apollonian + octagon fractal sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_08_11_2015_k.png) Zoom in :) https://plus.google.com/u/0/111316695433986539322/posts/Ck1jsSmK784 ciao torolf Title: Re: Apollonian Gasket 3d Post by: M Benesi on November 07, 2015, 05:36:58 PM Thank you!
hello all :embarrass: yes M Benesi :D Code: Mandelbulb3Dv18{ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on November 08, 2015, 06:22:59 PM Hello all :embarrass:
Apollonian Gasket + Kleinian groups sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_09_11_2015_k.png) Zoom in :) https://plus.google.com/u/0/111316695433986539322/posts/NPeHT1ub9Yv apollonian fractal sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_10_11_2015_k.png) Zoom in :) https://plus.google.com/u/0/111316695433986539322/posts/eSGU8Q68V8d + Zoom O0 www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_10_11_2015_b.png ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on June 02, 2016, 04:23:14 PM Hello all :dink:
Apollonian Gasket 3D | Mandelbulb3D v191 + Blender Partikelsystem (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_2016_sauermann.png) to proceed Torolf Title: Re: Apollonian Gasket 3d Post by: 1Bryan1 on June 02, 2016, 09:24:37 PM Wow, nice :beer:
Title: Re: Apollonian Gasket 3d Post by: Caleidoscope on June 03, 2016, 12:50:29 PM Hello all :embarrass: Apollonian Gasket + Kleinian groups sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_09_11_2015_k.png) Zoom in :) https://plus.google.com/u/0/111316695433986539322/posts/NPeHT1ub9Yv apollonian fractal sauermann 2015 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_10_11_2015_k.png) Zoom in :) https://plus.google.com/u/0/111316695433986539322/posts/eSGU8Q68V8d + Zoom O0 www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_10_11_2015_b.png ciao torolf They are all stunningly beautiful and as I understand very special and new. But between all these beautiful this yellow one really strikes me. Wow the color, the pattern looks practically identical with the pattern of an insect eye and the shape is so refined it's indeed a piece of Art. Title: Re: Apollonian Gasket 3d Post by: jotero on June 07, 2016, 11:43:58 AM Hello all :dink:
Merci Caleidoscope :) apollonian gasket 3d = ready for 3d printing (Mandelbulb3D v191) (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_01_2016_sauermann.png) Zoom in :) http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_01_2016_sauermann.png ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on June 10, 2016, 07:00:47 PM Hello all :)
Apollonian Gasket 3D | Mandelbulb3D v191 + Blender Cycles = ready for 3d printing (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_02_2016_sauermann.png) Zoom in! http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_02_2016_sauermann.png Ciao Torolf Title: Re: Apollonian Gasket 3d Post by: jotero on June 15, 2016, 03:44:38 PM Hello all :)
Apollonian Gasket 3D | Mandelbulb3D v191 + Blender Cycles = ready for 3d printing (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_03_2016_sauermann.png) Zoom in! http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_03_2016_sauermann.png Ciao Torolf Title: Re: Apollonian Gasket 3d Post by: Max Sinister on June 16, 2016, 10:57:42 PM These are indeed all very nice, and already look like they were printed in 3D. (Did you ever give 3D print a try?)
Title: Re: Apollonian Gasket 3d Post by: jotero on June 16, 2016, 11:39:31 PM But you know or who I am?
Title: Re: Apollonian Gasket 3d Post by: Max Sinister on June 17, 2016, 08:48:15 PM Sorry, no, I haven't been around here for that long. Now I read the beginning of this thread and know more.
Title: Re: Apollonian Gasket 3d Post by: jotero on June 18, 2016, 12:46:23 PM Hello all ^-^
Max Sinister :dink: Apollonian Gasket 3D | Mandelbulb3D v190 ALPHA 1 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_04_01_2016_sauermann.png) Zoom in :) http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_04_2016_sauermann.png Ciao Torolf Title: Re: Apollonian Gasket 3d Post by: quaz0r on June 18, 2016, 03:35:16 PM that is really nice
Title: Re: Apollonian Gasket 3d Post by: Max Sinister on June 20, 2016, 09:56:14 PM It's sheer unbelievable that it's possible to 3D print such intricated shapes... don't you have problems with overhangs?
Title: Re: Apollonian Gasket 3d Post by: jotero on June 21, 2016, 02:21:04 PM Hello all :)
Yes Max, but can you out calculate that. MeshLab (Filters: Poisson or Uniform Mesh Resampling) http://meshlab.sourceforge.net/ and instant-meshes-windows https://github.com/wjakob/instant-meshes ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on June 28, 2016, 08:32:50 AM hello all :)
apollonian fractal 3d Sauermann 2016 (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_06_01_2016_sauermann.png) ciao torolf PS: Zoom in https://plus.google.com/u/0/111316695433986539322/posts/C6Km22pbHXF Title: Re: Apollonian Gasket 3d Post by: jotero on July 07, 2016, 07:52:14 PM Hello all :)
My birthday gift O0 Apollonian Gasket 3d: (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_07_01_2016_sauermann.png) is possible with Mandelbulb 3D ups sorry Mandelbulb3D_v190ALPHA1.exe http://www.josleys.com/show_gallery.php?galid=346 ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on July 09, 2016, 02:52:19 PM Hello all :)
I work hard on "kleinian groups" (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbulb_3d_sauermann.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 11, 2016, 03:51:07 PM Wonderfull and amazing
I try to do thé same but i can t Ericr Title: Re: Apollonian Gasket 3d Post by: knighty on July 12, 2016, 12:29:18 AM Woderful!
How do you find the symmetry planes and inversion spheres? (You might find this interesting: http://www.fractalforums.com/ifs-iterated-function-systems/another-3d-kleinian/ ) Title: Re: Apollonian Gasket 3d Post by: ericr on July 12, 2016, 08:56:29 PM Ist es moglich die fraktalparameters zu haben bitte
Title: Re: Apollonian Gasket 3d Post by: jotero on July 13, 2016, 02:07:46 PM yes ericr :D
demo for Mandelbulb3Dv191 Code: Mandelbulb3Dv18{ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 13, 2016, 02:15:23 PM thank you very very much
ericr Title: Re: Apollonian Gasket 3d Post by: jotero on July 13, 2016, 02:28:15 PM hello all :)
Apollonian Gasket 3d from a Mandelbox (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_08_01_2016_sauermann.png) zoom in https://plus.google.com/u/0/111316695433986539322/posts/bnZ4V6ipgWF and :dink: http://www.josleys.com/show_gallery.php?galid=347 ciao torolf Title: Re: Apollonian Gasket 3d Post by: quaz0r on July 14, 2016, 12:57:36 AM its beautiful :o
Title: Re: Apollonian Gasket 3d Post by: jotero on July 15, 2016, 03:38:57 PM hello all :)
3d kleinian groups O0 (http://www.evolution-of-genius.de/3d/fractal/3d_kleinian%20groups_jotero_01.png) zoom in :dink: https://plus.google.com/u/0/111316695433986539322/posts/KCxHYLiEv5V ciao torolf PS: http://www.josleys.com/show_gallery.php?galid=346 Title: Re: Apollonian Gasket 3d Post by: ericr on July 15, 2016, 07:35:57 PM very well done
Title: Re: Apollonian Gasket 3d Post by: hgjf2 on July 16, 2016, 08:41:14 AM hello all :) 3d kleinian groups O0 (http://www.evolution-of-genius.de/3d/fractal/3d_kleinian%20groups_jotero_01.png) zoom in :dink: https://plus.google.com/u/0/111316695433986539322/posts/KCxHYLiEv5V ciao torolf fine fractal 3D This remembering me about fractals of the site WWW.FRACTAL3D.COM founded by Yoshiaki Araki and Kazushi Ahara. :peacock: :smileysmileys: PS: http://www.josleys.com/show_gallery.php?galid=346 Title: Re: Apollonian Gasket 3d Post by: jotero on July 17, 2016, 08:36:00 AM Hello all :)
hgjf2 @ by your answer I get eye cancer :hmh: 3d kleinian groups (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbulb_3d_sauermann_01.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: hgjf2 on July 17, 2016, 08:53:18 AM This 3D fractal from current image at my reply is and from site WWW.JOSLEYS.COM , but using same formula like the 3D fractal kleinian group presented on site WWW.FRACTAL3D.COM/LIM.HTML .
Title: Re: Apollonian Gasket 3d Post by: JosLeys on July 18, 2016, 11:27:12 PM @Jotero
Your images of 3D Kleinians look like mine, only yours are better with a lot more detail! Keep up the good work! Jos Leys Title: Re: Apollonian Gasket 3d Post by: jotero on July 20, 2016, 10:47:08 AM @ Thank you Jos :)
Zoom in :) https://plus.google.com/u/0/111316695433986539322/posts/gFyyuWXdqje ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 20, 2016, 05:55:23 PM a test with jotero help
I don t know to find symetry Title: Re: Apollonian Gasket 3d Post by: ericr on July 21, 2016, 03:33:41 PM I use 3 inversions
Title: Re: Apollonian Gasket 3d Post by: jotero on July 22, 2016, 07:13:46 AM Hello all :)
don't give up ericr :dink: sphere 3d kleinian groups (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbulb_3d_sauermann_02_01.png) Zoom in https://plus.google.com/u/0/111316695433986539322/posts/3MKNdkbr3tw Ciao Torolf Title: Re: Apollonian Gasket 3d Post by: JosLeys on July 22, 2016, 12:43:41 PM @jotero
I understand what you are doing now. You apply a sphere inversion transformation to an image like the one below. What I don't understand is how M3D does this internally. I presume rays are shot to every screen pixel, and the ray is followed according to the calculated DE. Applying a sphere inversion to the coordinates of the point on the ray puts this point elsewhere in space, and I don't see how this affects the shape of the fractal object. Any ideas? Title: Re: Apollonian Gasket 3d Post by: jotero on July 22, 2016, 02:48:09 PM No, unfortunately have no idea, sorry :sad1:
Title: Re: Apollonian Gasket 3d Post by: jotero on July 23, 2016, 05:44:45 PM Hello all :)
The heart needs no mind to love - 3D Kleinian Groups (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbulb_3d_sauermann_heart_01.png) Zoom in: https://plus.google.com/u/0/111316695433986539322/posts/WnsBnB9pxsX ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on July 24, 2016, 02:52:31 PM Hello all :)
3D Kleinian Groups (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbulb_3d_sauermann_03.png) And thank you Jos for this beautiful work :) www.josleys.com/show_gallery.php?galid=346 (http://www.josleys.com/galleries/creatures75//indra3d018a.jpg) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 24, 2016, 05:11:22 PM examples of kleinian group
Title: Re: Apollonian Gasket 3d Post by: ericr on July 24, 2016, 05:29:23 PM last exemple ( of today)
Title: Re: Apollonian Gasket 3d Post by: jotero on July 24, 2016, 09:09:05 PM Hello all :)
don't give up on ericr, it's going well :dink: In the field of 3d kleinian groups (Iteration eight) (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbulb_3d_sauermann_04.png) (Iteration 10) (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbulb_3d_sauermann_05.png) 3d kleinian groups (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbulb_3d_sauermann_06.png) Zoom in https://plus.google.com/u/0/111316695433986539322/posts/ZCQyTfV3Tgd ciao torolf Title: Re: Apollonian Gasket 3d Post by: jotero on July 27, 2016, 08:07:02 AM Hello all :)
fractale geometry (3d kleinian groups) sauermann 2016 (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbulb_3d_sauermann_07.png) and (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbulb_3d_sauermann_08.png) Zoom in https://plus.google.com/u/0/111316695433986539322/posts/RYF9F6BoJHo ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on July 27, 2016, 05:04:51 PM kleinian group very long to make the calculs
Title: Re: Apollonian Gasket 3d Post by: jotero on July 28, 2016, 07:52:31 AM Hello all :)
Apollonian Gasket 3d (http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_10_2016_sauermann.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: JosLeys on July 28, 2016, 08:33:09 AM This one is fantastic.
I wonder how you did it this time. Title: Re: Apollonian Gasket 3d Post by: ericr on July 28, 2016, 09:13:52 AM Yes how do you do that ???????? Please
Title: Re: Apollonian Gasket 3d Post by: ericr on July 28, 2016, 01:11:44 PM other kleinian
Title: Re: Apollonian Gasket 3d Post by: ericr on July 30, 2016, 03:51:24 PM other kleinian
Title: Re: Apollonian Gasket 3d Post by: jotero on August 01, 2016, 08:52:46 AM Hello all :)
3d kleinian groups (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbulb_3d_sauermann_09.png) Zoom in https://plus.google.com/u/0/111316695433986539322/posts/7L2gpRuhyz4 apollonian gasket 3d (http://www.evolution-of-genius.de/3d/fractal/hyperbolic_manifolds_and_apollonian_gasket_3d_sauermann_01.png) Zoom in https://plus.google.com/u/0/111316695433986539322/posts/NZkojqRs1FT ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on August 03, 2016, 07:50:02 PM inversion of polyedron
Title: Re: Apollonian Gasket 3d Post by: mclarekin on August 04, 2016, 01:33:37 AM Nice one ericr O0 O0
Title: Re: Apollonian Gasket 3d Post by: ericr on August 04, 2016, 10:35:07 AM Thank you but i try using mobiustpx but i have no résult
I don t understand i have the param for Möbius but no result :fiery: next : 3 inversions polyedron Title: Re: Apollonian Gasket 3d Post by: mclarekin on August 06, 2016, 01:42:42 AM @ ericr. Jotero's Apollonian Gaskets are so cool.
I want to learn how to do them in Mandelbulber (but I have had to first code some formulas that were missing), There is a lot I don't understand too, but it is fun learning . ;D Title: Re: Apollonian Gasket 3d Post by: ericr on August 06, 2016, 04:40:13 PM Mandelbulb3Dv18{
g.....U.....0...w....2....UgvePpKFi4.zxxRh6KYR5EF2g22Fc31.2XKzSOm8Q2.5lV7T8oH9/E ................................VMHs1zcKNz1........Y./..................y.2...wD ...Uz6....EC..../wX//.....Ex0...u5....E5......rUVS0NBKsD.w1........G0dkpXm1..... z.....cD12U./2kaUTWbxWmxzg7sbsNjcQzDP0y7Sq98rz1...........U0.....y1...sD...../.. .z1...sDWB7AZ8LR.y1UK6NozCTQzeKwH5Kb1JrjOGbdtF5CvxHIHwmiGutSzM2VcM94G9rD6PeT.LM7 Lxnc4x1iCowSze.aRDisq.sDU.....YM2...X1...2....sD.6....sD..G..................... .............oAnAt1...sD....zw1.........................................o....k1. .....4iSoz1.......kz.wzzzn.U..6.P....61...EB....m....c3....F....8/...Y1.....SF52 ...U.ydelyjeYFnzTeOgzf8No.6.1c..zzzz..EizccZWGyD6EdGkxmWcz1...........k.8.kXWF1. .sM93P58iz9.MmnWK2zwz0........../6U0.wzzz1...........s/...................E.0c.. zzzz.............0...................2U.8.kzzzD............8.................... /6U0.wzzz1....................................uBZ.U7EgU7zzFoTu2.oQm2oszDnueM.YXB bYHzTt6Ul/k6Ukl6Qs5crI0.a.l0a.bTUSH7.M029M0ly/uBZ.U7EgU7Mw5crI0.a.l0akqTUSH7.M02 9M0kz/uBZ.U7EgU7...crIGJzzFoTuIdyzngi8qdxzZX.4rU.IKPjt0QiR4..................... E....ME/F3.0....I....A....kLGx4RVFLN.................................MU/4....... ...................2./......../E........E.2..................................... ................................................................................ .....................2.....3....4....wpQkVKNmJKOiN5.Z75......................... ....BMV......................IyjbNaNaNa7rzXNaNaNaN4jzcNaNaNatO.EBnAnAnAn6z9..... ................................................................................ ................................e....E/...E/..../7oPspoPYhIMgZ4................. ............5s..................KD8QxckAkzHaNaNaNanhzckpX0LD8.zD........kzHD8Qxc kp1wz........................................................................... ..........................................E.....I....c.....FjFKNX34OZFaQjtKG4B3. oE4.......................U/4MU/4M........EVf53iSIMyz0........zD........kz1..... ...wz........................................................................... .....................................................2.....3....6....2YEjVrIkVKN mJqHaNqQZF5BY/...................Q...................gNaNaNaNCzD........gzvNaNaN aNKvz........................................................................... ................................................................q....E/......... T73QjRrATF1N............................................................U.2..... ................................................................................ ............................................................................} {Titel: inv poly} AN EXEMPLE OF mclarekin FRACTAL AUGUST 03 Title: Re: Apollonian Gasket 3d Post by: JosLeys on August 07, 2016, 11:35:31 PM @Torolf, now you got me coding in Ultrafractal again. Here is something along the same idea: some kind of Box formula combined with a sphere inversion:
Title: Re: Apollonian Gasket 3d Post by: knighty on August 08, 2016, 09:46:27 PM @ JosLeys: Cool! what is the "some kind of box formula" ? I gess you replaced the fold in z direction with abs()...
Title: Re: Apollonian Gasket 3d Post by: JosLeys on August 09, 2016, 09:27:00 AM @Knighty, the formula is a version in Ultrafractal of what is FoldingIntPower in M3D, but this will work with others also.
If you can get to a fractal scene like the one in the image, and add a sphere inversion, then you will be creating these shapes. Title: Re: Apollonian Gasket 3d Post by: JosLeys on August 09, 2016, 09:28:23 AM ..for instance this one:
Title: Re: Apollonian Gasket 3d Post by: knighty on August 09, 2016, 05:08:02 PM Thanks!
So there must be other layers inside the spheres. :) Here is a fragmentarium rendering of "pseudo-kleinian" with a sphere inversion. I have replaced z component of the box fold with a simple fold but this doesn't change things a lot. Only the inside of the spheres is empty. Title: Re: Apollonian Gasket 3d Post by: ericr on August 09, 2016, 05:22:12 PM I try try but nothing :fiery: if a could have on exemple m3d please :D
Title: Re: Apollonian Gasket 3d Post by: jotero on August 09, 2016, 05:41:45 PM Hello all :)
@Jos very interesting your work :dink: ericr O0 Code: Mandelbulb3Dv18{https://creativecommons.org/licenses/by/4.0/legalcode ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on August 09, 2016, 06:10:50 PM thx I have understand it s ok
danke Title: Re: Apollonian Gasket 3d Post by: jotero on August 09, 2016, 06:12:43 PM Hello all :)
Apollonian Gasket 3D (http://www.evolution-of-genius.de/3d/fractal/sauermann_apollonian_gasket_3d_2016_68.png) Zoom in ;) https://plus.google.com/u/0/111316695433986539322/posts/Byr6nce3982 ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on August 09, 2016, 06:18:25 PM 1rst test
Title: Re: Apollonian Gasket 3d Post by: jotero on August 09, 2016, 06:50:02 PM ericr ABoxModKali Iterationcount On 60 :dink:
Cu Torolf Title: Re: Apollonian Gasket 3d Post by: ericr on August 09, 2016, 08:10:15 PM kleinian group
Title: Re: Apollonian Gasket 3d Post by: jotero on August 10, 2016, 07:13:22 AM Hello all :)
apollonian gasket 3d (http://www.evolution-of-genius.de/3d/fractal/sauermann_apollonian_gasket_3d_2016_69.png) Zoom in :) https://plus.google.com/u/0/111316695433986539322/posts/GgusNdxvf9u apollonian gasket 3d (http://www.evolution-of-genius.de/3d/fractal/sauermann_apollonian_gasket_3d_2016_70.png) apollonian gasket 3d (http://www.evolution-of-genius.de/3d/fractal/sauermann_apollonian_gasket_3d_2016_71.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on August 10, 2016, 12:59:48 PM kleinian group
Title: Re: Apollonian Gasket 3d Post by: jotero on August 11, 2016, 08:13:26 AM Hello all :)
kleinian groups 3d (http://www.evolution-of-genius.de/3d/fractal/sauermann_kleinian_groups_03_best_56.png) and Zoom in https://plus.google.com/u/0/111316695433986539322/posts/3bR68zuiPRq kleinian groups 3d (http://www.evolution-of-genius.de/3d/fractal/sauermann_kleinian_groups_03_best_53.png) and Zoom in https://plus.google.com/u/0/111316695433986539322/posts/GJz2SM1FCiY kleinian groups 3d (http://www.evolution-of-genius.de/3d/fractal/sauermann_kleinian_groups_03_best_55.png) and Zoom in https://plus.google.com/u/0/111316695433986539322/posts/4bhzAPRdD1A kleinian groups 3d (http://www.evolution-of-genius.de/3d/fractal/sauermann_kleinian_groups_03_best_59.png) ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on August 11, 2016, 12:30:09 PM kleinian group
Title: Re: Apollonian Gasket 3d Post by: mclarekin on August 12, 2016, 02:07:23 AM @ ericr. cool image
@ jotero. They are all wonderful. I have got my basic Apollonian Gasket working ;D Title: Re: Apollonian Gasket 3d Post by: ericr on August 12, 2016, 12:53:27 PM destroy kleinian group
Title: Re: Apollonian Gasket 3d Post by: ericr on August 13, 2016, 11:56:20 AM KLEINIAN GROUP AND START OF A CORNU SPIRAL
Title: Re: Apollonian Gasket 3d Post by: jotero on September 05, 2016, 11:50:46 AM Hello all :)
MBox combined with a sphere “Kleinian Groups 3d + Apollonian” Sauermann 2016 (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_3d_sauermann_133_2016.png) Zoom in https://plus.google.com/u/0/111316695433986539322/posts/eCnE2bs68Un and (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_3d_sauermann_135_2016.png) Zoom in https://plus.google.com/u/0/111316695433986539322/posts/ZLq5XLe9DUR and (http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_3d_sauermann_136_2016.png) Zoom in https://plus.google.com/u/0/111316695433986539322/posts/4eq7TuQ4rLJ ciao torolf Title: Re: Apollonian Gasket 3d Post by: ericr on October 21, 2016, 04:38:31 PM lo res appolonius
Title: Re: Apollonian Gasket 3d Post by: DarkBeam on November 02, 2016, 12:24:26 PM This is the "true" apollonian fractal :D
To modify the appearance, change xyz center and radius and more iterations (tricky!) change ExecCntValue on the first fmla, then use more maxiters if needed. Mandelbulb3Dv18{ g.....S....O/...Y/...2....Efw.LKUQW/.zDOurM54CAEe9KZJenndzH0q.lenEMnzWFBinxGgDzD ................................p19Tngotjz1........A./..................y.2...wD ...Uz6....U5..../M.0/.....Ey....x4....E3.....k1vQ7Sz27rD/..........m/dkpXm1....U z.....kD12../..........wz.................................U0.....y1...sD...../.. .z1...sDhCC613cQcx1Qxl96lsLMzIdB5WdI3HqjAbJSPUquTxfYs/tG4sxPzAyfiNXPP.pDpw7ciB6y Zx1gK644CXLDzEmUOueJqnqDU.....od/.............sD.6....sD..G..................... .............oAnAt1...sD....z...........................................Y/...k1. .....Ksulz1.......kz.wzzz1.U..6.P....M/...kL....i/...Y7....9....e....I1.....SF52 ...U.8iqQyD4Gypz....z13...6./c..zzzz..EOf5nlcsxj6AqyTr69/.2..........2.28.kFrA0. .Ub96aAIVz9.1se7Umvxz0........../EU0.wzzz1...........s/...................E.2c.. zzzz.............0...................2./8.kzzzD............8.................... /EU0.wzzz1....................................C....wk1Dwzz/..wD.k1DwkvzD.U9...Dw k1TzTpxe...wk1DwQs5s....k1Dwk1bTU1....Dwk1Dly/C....wk1DwMw5s....k1DwknqTU1....Dw k1Dkz/C....wk1Dw...s..kEzz/..wD5yz1.s0EPxzJrf0kd................................ E....Ek.l2E.....I....I....kL1xaPYZ2RXxKRiFrIrZ4RXV4..................6U.06U..... ...................F./.........E.............................Y3E................ ................................................................................ .....................2.....3.........wZIkxqRn................................... .....MU/4MU/4................U.E........kz1........wz.........zD................ ................................................................................ ................................/....E/...U.....TNoPgFKOiR4JZFbQVB1N............ ..........U.0...........................kz1........wz........................... ................................................................................ ..........................................E.....I....M....kLn/5OZ7LNdtaR........ .........................oU30........................1.........k..........gaNaNa Na36./........zj........kz1..................................................... ........................................................} {Titel: TrueApollo~} Title: Re: Apollonian Gasket 3d Post by: Sabine on November 02, 2016, 06:50:38 PM Ohhh!!!
(http://i2.wp.com/eduncovered.com/wp-content/uploads/2014/01/its-so-shiny-i-must-murder-it.jpg) Thank you for that, Luca! :-* Title: Re: Apollonian Gasket 3d Post by: DarkBeam on November 02, 2016, 10:16:17 PM It is just derived from Jotero params Sabi just a more controllable effect :)
Title: Re: Apollonian Gasket 3d Post by: Efoia on March 01, 2017, 08:25:33 PM I'm struggling to figure out how to implement this same sphere inversion effect in DE ray marching code. It looks like there is a sphere inversion implemented in the mandelbox DE as described here (syntopia) (http://blog.hvidtfeldts.net/index.php/2011/11/distance-estimated-3d-fractals-vi-the-mandelbox/), but I get bad results when trying to perform the same operations in the pseudo kleinian DE. Has anyone had luck implementing this in DE code?
Awesome renders btw O0 Title: Re: Apollonian Gasket 3d Post by: Sabine on March 02, 2017, 10:44:12 AM JosLeys has implemented sphere inversion in his Kleinian group limit set: http://www.fractalforums.com/3d-fractal-generation/an-escape-tim-algorithm-for-kleinian-group-limit-sets/45/
See the Kleinian_Jos_001.frag on that page :) Title: Re: Apollonian Gasket 3d Post by: matsoljare on March 02, 2017, 08:51:40 PM How about 4D?
Title: Re: Apollonian Gasket 3d Post by: Efoia on March 03, 2017, 05:49:05 PM JosLeys has implemented sphere inversion in his Kleinian group limit set: http://www.fractalforums.com/3d-fractal-generation/an-escape-tim-algorithm-for-kleinian-group-limit-sets/45/ See the Kleinian_Jos_001.frag on that page :) Works perfectly, thanks!! This sphere inversion stuff is wild, lots to explore :o Title: Re: Apollonian Gasket 3d Post by: Sabine on March 03, 2017, 11:59:02 PM I'm glad you got it to work for you, enjoy :)
Title: Re: Apollonian Gasket 3d Post by: jotero on March 22, 2017, 09:56:06 PM hello all :) Interesting picture Efoia O0 (http://i.imgur.com/aBQO10Q.png) Cu Torolf |