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Author Topic: Apollonian Gasket 3d  (Read 21703 times)
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jotero
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« Reply #15 on: June 16, 2015, 05:01:27 PM »

hello all smiley

Apollonian Fractal


Start Apollonian Fractal  wink

Code:
Mandelbulb3Dv18{
g.....S....s/...w....2....k79duTpyU1.fx2ObH4ga2EE4zewVSpvy1GsCE2DCGnzWm6zQBy93xD
................................tpsrUDumjz1........Y./..................y.2...wD
...Uz6....E3..../M.0/.....Eg....70....E3.....6b5RyNsI7rD/..........m/dkpXm1....U
z.....kD12../2.........wz.........zD........kz1...........U0.....y1...sD...../..
.z1...sDk4yKOy9NixnBNbuU8daKzUzEZ4z/SxpjOFUAGKIKHuXaSz/ZUe.PzwstXiKSSSqDeHCs5kEU
Yx1gEv36/HtMzyxlxjuoyQqDU.....ID..............sD.6....sD..G.....................
.............oAnAt1...sD....z...........................................D....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/F3.0....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~}


ciao
torolf
« Last Edit: June 16, 2015, 05:07:33 PM by jotero » Logged
m2001
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« Reply #16 on: June 16, 2015, 06:35:17 PM »

 cheesy
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #17 on: June 17, 2015, 12:06:51 AM »

Nice job there smiley
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No sweat, guardian of wisdom!
jotero
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« Reply #18 on: June 18, 2015, 08:21:11 PM »

Hello all  cheesy

My first attempt „Kleinian Groups Dodecahedron”


ciao
torolf
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jotero
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« Reply #19 on: June 19, 2015, 07:41:46 PM »

Hello all  smiley

Kleinian Groups Fractal.


Start:

Code:
Mandelbulb3Dv18{
g.....S....s/...ET...2....k2hLS0NYOA.XFhhoz2U11ka9nHN339xz1YnOHKtzJkzWFhhoz2U11k
................................scoD0pM1L.2........Y./.........E........C/2...wD
...Uz6/...U9..../ME//.....k.3...qR....E0.....gERwZAa6ZoD/.kNVxsD...m/dkpXm1....U
z.EnAnQD12../2...........fNaNaNaN4zD..........A...........U0.....y1...sD...../..
.w1...sDHnq1kahpywf5abcm15TAz0Qw8UpYe5oD84qAd0xo1xncdu9URj65zyctKht1CunDdiYei377
Lw9NyUXN/spFz23z8D.dg7nDU.....2q1..............E.6....sD..G.....................
.............oAnAt1...sD....zw1...................................kNVxsDw1....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/cU08cyz1cU08cxz3cU08cYJKPjtWMh/5.g3aQdFLST3XBs.1Sl.HB
E....2..F2.U....I....I....EE0x4SBx4N934Pd/UQ..........................k/C.......
..........EnAnAnAnAwz0..................kzHnAnAnAnAwzoAnAnAnA1zD................
................................................................................
........................}
{Titel: kleinian_groups_01}

ciao
Torolf
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m2001
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Posts: 114


« Reply #20 on: June 19, 2015, 08:10:31 PM »

 wink
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slon_ru
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« Reply #21 on: June 19, 2015, 08:58:57 PM »

Nice !  A Beer Cup A Beer Cup A Beer Cup
Thank you params sharing !
my tweak (Apollonian Gasket 3d+koch_oct) & 3ds max model:


* 2Apollonia1nPlusKochOct1_00.jpg (242.41 KB, 1280x699 - viewed 300 times.)
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jotero
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« Reply #22 on: June 21, 2015, 10:15:55 AM »

Hello all  wink

Mandelbrot Kleinian Groups Jotero


is certainly too large!
http://www.evolution-of-genius.de/3d/kleinian_groups_mandelbrot_jotero.png

ciao
torolf
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jotero
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« Reply #23 on: June 24, 2015, 04:25:04 PM »

Hello all  cheesy

apollonian fractals.

|


ciao
torolf
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ericr
Fractal Fanatic
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Posts: 318


« Reply #24 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


* Apollonian~juin 2015.jpg (100.15 KB, 480x480 - viewed 689 times.)
« Last Edit: June 25, 2015, 01:18:58 PM by ericr » Logged
jotero
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« Reply #25 on: June 26, 2015, 09:40:54 AM »

Hello all  cheesy

Yes ERICR the approach is good and here my attempt.


Zoom in  wink
http://www.evolution-of-genius.de/3d/fractal/apollonian_fractals_VI_jotero.png



Zoom in  wink
http://www.evolution-of-genius.de/3d/fractal/apollonian_fractals_VII_jotero.png

ciao
torolf
« Last Edit: June 26, 2015, 01:21:10 PM by jotero » Logged
ericr
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Posts: 318


« Reply #26 on: June 26, 2015, 01:10:55 PM »

Other example, same methode


* Apollonian~juin 2015 2.jpg (82.28 KB, 480x480 - viewed 674 times.)
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m2001
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Posts: 114


« Reply #27 on: June 27, 2015, 07:44:19 PM »

my test:

another facebook "mandelbulb maniacs" member has uploaded for 3d printing  smiley
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........................}


* gasket.jpg (231.64 KB, 1500x1500 - viewed 290 times.)
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jotero
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« Reply #28 on: June 29, 2015, 07:50:10 AM »

Thank you for your share "m2001"



ciao
torolf
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ericr
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Posts: 318


« Reply #29 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




* kleinian_groups_012.jpg (90.66 KB, 480x480 - viewed 630 times.)
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