Apollonian Gasket 3d

[jotero]

not beautiful but interesting 


 
http://www.evolution-of-genius.de/3d/fractal/kleinian_groups_mandelbox_jotero_X.png

ciao
torolf

[ericr]

 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

[ericr]

I try to make it
but no result, no idea and all the formulas are given on jos leys site !!! but ...

[jotero]

Hello all

ericr start here 
http://www.fractalforums.com/3d-fractal-generation/a-3d-kleinian-group/

and..

Code:

Mandelbulb3Dv18{
g.....S....4/...w....2.....PT8pfTVO..5/kUG0oER1E4Cv9Jj.v/wHKJ0fp9kS.zgMV105dULxD
................................EcO87Z0Frz1........Y./..................y.2...wD
...Uz6.....1..../M.0/.....Uq....50....E3.....U2ksg7EBYqD/..........m/dkpXm1....U
z.....kD12../2EnAnAnAnAvz0................................U0.....y1...sD...../..
.z1...sDqGg5N0I1dx1..........0nrs.6j3Gdj5QQ4Rlxn.rfh2vFa.pEOz2/8.u5j3Gdj9U0UylPV
IuHATX1UwK6ZycGm2Q7EBYqDU.....27..............sD.6....sD..G.....................
.............oAnAt1...sD....z...........................................N....k1.
.....Ksulz1.......kz.wzzz1.U..6.P....61...EB....m....c3....F....6/...I1.....SF52
...U.8YL8yzlcisz0tZWzTAe906.2c..zzzz...MarH7iXyD6oa4dabdnz1..........2k.8.kXWF1.
.sM93P58iz9.MmnWK2zwz0........../EU0.wzzz1...........s/...................E.2c..
zzzz.............0...................2./8.kzzzD............8....................
/EU0.wzzz1....................................8cU0.E./2Ezz/cU08../2E.tzDU08c..2E
./IzT/8cU0.E./2EQs5cU08../2E./bTU08c..2E./2ly/8cU0.E./2EMw5cU08../2E.lqTU08c..2E
./2kz/8cU0.E./2E...cU08czz/cU08cyz1cU08cxz3cU08c................................
E....I.//3......zzzzz1......XFLM4J5PgZYFH/kAW/............................U/4MU/
4M........EfNaNaNaNez.........zD................................................
..............................................yD........Uz9.....................
..........................kzzzzz......UIjFLMoJ4.X34POBXM........................
4MU/........................../E........E.2........2./........zD................
................................................................................
.....................................wzzzzD......oKMuZaPb/WEjV5.................
............5g..........................kznAnAnAnAnkzg53iSIsulyD................
................................................................................
..........................................U/....I....2....EHnl4RjJqItpaA.IaQ....
...................................................wz.........zj................
................................................................................
.....................................................M.....3..../....ooQgFrPZBJS
h71..............................M/...........................zD................
................................................................................
................................................................}
{Titel: jos_leys~}

[ericr]

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

[m2001]

@torolf - sorry for things around the fractal

Code:

Mandelbulb3Dv18{
g....EQ0...l7...w....2....EnGrE67Jd0.zXL8fDztJ2ERnilIFwdtyfD4MkhUyHlzKe2y8VpNiyD
................................aCuqvSnHlz1........A.JJ/................y.2...wD
...Uz6....EH9.../Q.0/....2.g....O.....Ej.....oAQy/IMQboD/Q....../KX.1dkpXm1.teed
./....kD12../2EnAnAnAnAvz0................................U0...../2...sD...../..
.z1...sDPkDzZGWpEx1..........0....................EqZyKoTw2Az2PMuZGqJ/pD........
..MgVdL8NL3IzaRdj3x5D/nDU.....2O/...g4........sD/6....sD..G.....................
.............oAnAt1...sD....zw1.........................................J....A..
.....Ksulz1.......kz5wzzzL.U..6.P....M2...EB....11.06A5..UED....5/...cKB....SEb/
...U.0Ak.zDk.1wz.1Akz1Ak.16.2Mozzzzz...UCW0tRhyD6IsffaWeYz1..........2k.8.kXWF1.
.sM93P58iz9/MmnWK2zwzC........../EU0.wzzz1...........E/...................E.2c..
zzzz............C0........E..........2./8.kzzzD............8....................
/EU0.wzzz1....................................Ak.1.k.1Ak/1.k.1A..1Ak.jy5K9O8..6U
.0ggs.Ak.1.k.1Ak0yoz.0...1Ak.5lL.1Ak..Ak.1Q8Z/Ak.1EStZ5kGB5Pcp2......zUScXCu..Ak
.1wFxBeXZ/.....k...cU08czz/cU08cyz1cU08cxz3cU08c................................
E6...MU2HBE.....I....k....kLBxaMdJrQI/5S.cpAW/..................................
...................wz...........OaNaNaNahz1.....................................
...................................wz...........................................
.....................2.....3..../....ooQgFrPZBJSh71.............................
..............................zD................................................
................................................................................
.....................................wzzzzD......oKMuZaPb/WEjV5.................
............5g..........................kznAnAnAnAnkzg53iSIsulyD................
................................................................................
..........................................E.....I....s.....GZZqNcFLHV/LG4B3.....
.....................6E./2E./2U/4MU.02E..........E6c./..........BnAnAnAnozfNaNaN
aNt..fNaNaNaNawDOaNaNaNa7zXaNaNaNaNaz0..........................................
........kz1...................zD.....................2.....3....C....UINdR4OopIM
kZYFH/..........................02E./2E./MU/46U./2.........Uf0AE................
...yz.nAnAnAnTyjOaNaNaNa7zXaNaNaNaNmzcNaNaNaNatD.......UK/A.....................
...................wz...................kz1...................../....E/...E1....
Wx4S7NoI.YLPm.................................U1C....2U.02E...............2.....
...wz.........zD..........2.......k/.1..........................................
........kz1...................zD........kz1.................................}

[m2001]

setup is simple-good 

[m2001]

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{
g....EQ0...l7...w....2....U/uhpP6Ax/.bBiG.CSoQ2EWN4QbTUbdz9tN4yLvAT..9fi1n4PFBzD
................................aCuqvSnHlz1........A.J96................y.2iSIsD
...Uz6.....zB.../Q.0/....2Ez....P.....Ej.....oAQy/IMQboD/Q.qO4lD/KX.1dkpXm1.Xfed
.J....kD12..12EnAnAnAnAvz0................................U0...../2...sD...../..
.z1...sDAWnyZCP66xH4iAAHR8dAzSuG4HmWdpijjrdXLspsVwXOm70bh4DBzIF6BSw1sQoDfZ4MyqNH
kwPSuH8PnvPFzCwTdgLL/PnDU.....Yx/...R3........sD1U....sD..G.....................
.............oAnAt1...sD....zw1....................................qO4lDM....A..
.....Ksulz1.......kz5wzzzL.U..6.P....M2...EB....11.06A5..UED....5/...cKB....SEb/
...U.0Ak.zDk.1wz.1Akz1Ak.16.2Mozzzzz...UCW0tRhyD6IsffaWeYz1..........2k.8.kXWF1.
.sM93P58iz9/MmnWK2zwzC........../EU0.wzzz1...........E/...................E.2c..
zzzz............C0........E..........2./8.kzzzD............8....................
/EU0.wzzz1....................................Ak.1.k.1QsBA.k.1A..1AkZLk9K9O8..6U
.0.hn.Ak.1.k.1Qseloz.0...1Ak.YhL.1Ak..Ak.1kyY/Ak.1EStZ5.wA5Pcp2......IUScXCu..Ak
.1kExBeXZ/.........cU08czz/cU08cyz1cU08cxz3cU08c................................
E6...EU2nAE.....I....k....kLBxaMdJrQI/5S.cpAW/..................................
...................wz...........OaNaNaNahz1.....................................
...................................wz...........................................
.....................2.....3..../....ooQgFrPZBJSh71.............................
..............................zD................................................
................................................................................
.....................................wzzzzD......oKMuZaPb/WEjV5.................
............5g..........................kznAnAnAnAnkzg53iSIsulyD................
................................................................................
..........................................E.....I....s.....GZZqNcFLHV/LG4B3.....
.....................6E./2E./2U/4MU.02E..........E6c./..........BnAnAnAnozvMaNaN
aNyrzeNaNaNaNawDOaNaNaNa7zXaNaNaNaNaz0..........................................
........kz1...................zD........................}

[Chillheimer]

wow! the glassbulb looks incredible! 
how do you achieve this glass effect? is it a feature of mandelbulb3d?

[m2001]

yep, all mb3d ... i post paras and textures when back on pc. thx from tablet 

[m2001]

paras added
http://www.fractalforums.com/gallery/apollonian-gasket-3d/msg86355/#msg86355

[ericr]

kleinian fractal put on (in ) a sphere  , the deformation is normal ( optical illusion)

ERICR

[jotero]

  Zoom in 
http://www.evolution-of-genius.de/3d/fractal/apollonian_sphere_%20hypermenger_III_ALPHA1_07.png

[jotero]

apollonian gasket 3d sauermann 2015
http://www.evolution-of-genius.de/3d/fractal/apollonian_gasket_3d_22_08_2015.png
Zoom in 

[ericr]

wonderfull but very hard to do I think !

ERICR