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Author Topic: what formula creates 3d sierpinski triangle ?!  (Read 2852 times)
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cKleinhuis
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« on: October 17, 2012, 07:34:37 PM »

hi all, what formula does render a sierpinski triangle in 3d in mb3d ?!
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divide and conquer - iterate and rule - chaos is No random!
cKleinhuis
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formerly known as 'Trifox'


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« Reply #1 on: October 17, 2012, 07:41:19 PM »

lo`l, found it, its called Sierpinsk3

Mandelbulb3Dv18{
b.....S....O/...I....2....kl.9RTrKk0.1KKMzXFb32ExyuiXZ43/.gaVJU.bpHvzySMyf3q6muj
................................pA7PoCdFnz1........Y./..................y.2...wD
...Uz.....U1..../M.0/.....ke....l0....E3.....owsT9SxwsqD/..........m/dkpXm1....U
z.....kD12../..........wz..................................u1....y1...sD...../..
.z1...sDvhBKmZDYmxHrMnjky8cIzQXqH0wfN6qD34jZikItTx9Eu/IO04ZQzYNcPtVJrjpDEknsOzkB
Nx9KyLwC.KlMzmym/zvfD5rD......YP..............sD.6....sD..E.0...................
.............oAnAt1...sD....z.rbT7.2UyZ.k0uL0.JcT7.wVyZ.E8uL0.ncT7......G....k1.
..................kz.wzzz1.U..6.P....U5...EB....m....c3....F....6/...I1.....SF52
...U.qFG9yzb2zzzRYoWzz7lz16.pc..zXCc..kvrEtMc7xD4ocyFE0ujz1..........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....2....E.....I....c....kIdJaQkZaPnhKOn..6ExqRm.kQ......................U/4MU/
4MU................../........zD........kz1........wz...........................
........................................................kz1.....................
........................}
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divide and conquer - iterate and rule - chaos is No random!
DarkBeam
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Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #2 on: October 18, 2012, 10:04:15 AM »

You can also use DIFS grin

Mandelbulb3Dv18{
b.....x/...g2...G....2.....3bhcN8SPyz8tQr8Pfbg1E2dbHM.jJ7zHzmrM1MySpze0B57OEa.yD
................................cjmiAbLGwz1........A./.........E........y.2...wD
...Uz............Mk0/....6U6/...M.....E2.....c2rWGQw5DoD/......./K3o0dkpXm1....U
z.EnAngD12..0..........wz..................................u1....y1...sD...../..
.w1...sD.OEmX2M6/xHuEcjklTwAzkGZG3.nWMbjsXpK5yD6lwPGzTsFglODzQUaD4tb5DnDhRy3Q9Pm
XwHkL8waU0GAzi1UdqBaV2oD......YU5.............kD.2....sD.2E.....................
.............oAnAt1...sD....z.rbv4.2UiP.k0ui/.Jcv4.wViP.E8ui/.ncv4......I....k1.
.....AQxcz1.......kz.wzzz1.U..6.P....M4...EB....W....k1....F....8/...I1.....Sl52
...U.qFG9yzb2zzzRYoWzz7lz16.mc..zXCc..k18XGQeGyD4sIRhrVAkz1..........2.28.kFrA0.
.Ub96aAIVz9.1se7Umvxz0........../6U0.wzzz1...........s/...................E.0c..
zzzz.............0...................2U.8.kzzzD............8....................
/6U0.wzzz1...................................2CcN/UvNPcveeWCNq0.yRiibHJJUk1f..XR
SvBmx3CcN/UvNPcvQsLsUa3.ibhVi1bTV1OK.sSq4uCly3CcN/UvNPcvMwLsUa3.ibhVinqTV1OK.sSq
4uCkz3CcN/UvNPcv..EsUa3feeWCNqGQIJ36wk8EwyLsUa3f................................
E....E....E.....I....s.....IjlKSEZbQVZYFH/............................U1C....6U.
..........kAnAnAnAnkz........s.E........qz1.............................C/2.....
.............U/E........1.YaNaNaNa/3./..........OaNaNaNatyXaNaNaNaNizcNaNaNaNavj
.....................2.....3....6.....pPgZbFjl4NhALShZYFH/......................
....4MU/0.U.0...................................................................
.............U.EMo0FIhT67.2.....................................................
................................/....E/...k0....9tqPoBLG4B3.4B3.................
............Cs....U.06U.................Mz1........../..........................
...wzABnAnAnAbtD........kz1........../........zD........kznAnAnAnA3kz0..........
..........................................E.....I....o....kQkVKNmJKG4B3.........
......................U1C.U1Dwk106E./.....kAnAnAnAnoz..........E................
........................kz1........wz.........zD..............................zD
........kz1........wz0...........................Luca..}
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No sweat, guardian of wisdom!
cKleinhuis
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« Reply #3 on: October 18, 2012, 09:47:45 PM »

ah, ok, thank you for hinting, and can you do a koch snowflake as well huh? smiley
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divide and conquer - iterate and rule - chaos is No random!
DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #4 on: October 22, 2012, 11:13:30 AM »

Dunno how, too bad it seems to be enough complicated! embarrass
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cKleinhuis
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Posts: 7044


formerly known as 'Trifox'


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« Reply #5 on: October 22, 2012, 12:50:12 PM »

lol thanks for thinking about it, would have been great, today my little seminar begins, and i am introducing the most basic fractals cantor dust with its 2d and 3d variants, and as well the sierpinski triangle with its 3d companion, the snowflake is in the introductionary part because i am going to use this fractals when i introduce the mandelbox on wednesday, lol and tomorrow they will have to deal with complex multiplication (introduced geometrically) and escape time and julia stuff before we come to the mandelbulb and mandelbox part, and thursday it will be hybrids


so long wink
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divide and conquer - iterate and rule - chaos is No random!
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