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Author Topic: Apollonian Gasket 3d  (Read 16648 times)
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ericr
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« Reply #195 on: August 13, 2016, 11:56:20 AM »

KLEINIAN GROUP AND START OF A CORNU SPIRAL


* Start_kleinian_groups_Sauermann~14.jpg (92.54 KB, 640x480 - viewed 82 times.)
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jotero
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« Reply #196 on: September 05, 2016, 11:50:46 AM »

Hello all smiley

MBox combined with a sphere ôKleinian Groups 3d + Apollonianö Sauermann 2016



Zoom in
https://plus.google.com/u/0/111316695433986539322/posts/eCnE2bs68Un

and


Zoom in
https://plus.google.com/u/0/111316695433986539322/posts/ZLq5XLe9DUR

and


Zoom in
https://plus.google.com/u/0/111316695433986539322/posts/4eq7TuQ4rLJ

ciao
torolf
« Last Edit: September 10, 2016, 07:52:50 AM by jotero » Logged
ericr
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« Reply #197 on: October 21, 2016, 04:38:31 PM »

lo res appolonius


* lores appolonius.jpg (154.64 KB, 640x640 - viewed 72 times.)
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #198 on: November 02, 2016, 12:24:26 PM »

This is the "true" apollonian fractal cheesy

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~}

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No sweat, guardian of wisdom!
Sabine
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« Reply #199 on: November 02, 2016, 06:50:38 PM »

Ohhh!!!




Thank you for that, Luca!  kiss
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sabine62.deviantart.com
DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #200 on: November 02, 2016, 10:16:17 PM »

It is just derived from Jotero params Sabi just a more controllable effect smiley
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No sweat, guardian of wisdom!
Efoia
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« Reply #201 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), 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 afro
« Last Edit: March 01, 2017, 08:49:39 PM by Efoia » Logged

Sabine
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« Reply #202 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 smiley
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sabine62.deviantart.com
matsoljare
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« Reply #203 on: March 02, 2017, 08:51:40 PM »

How about 4D?
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Efoia
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« Reply #204 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 smiley


Works perfectly, thanks!!  This sphere inversion stuff is wild, lots to explore shocked
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Sabine
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« Reply #205 on: March 03, 2017, 11:59:02 PM »

I'm glad you got it to work for you, enjoy smiley
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sabine62.deviantart.com
jotero
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« Reply #206 on: March 22, 2017, 09:56:06 PM »

hello all smiley

Interesting picture Efoia  afro


Cu Torolf
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