Alef
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« on: August 05, 2012, 03:32:19 PM » |
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Inside of many brot fractals and boxes lies interesting structures. Jet they are largely unexplored.
At first, wievport (camera) must get inside of fractal. Basic Amazingbox allways result of camera being inside, so just pick abox formula, switch to inside render (lower maxiter) and vuala.
But it's pretty impossible to zoom inside of Bristorbrot usin NAVI's probably coz it was more intended for zooming to surface. Best way to get came inside is in coordinates window to writte Zstart =0, so wiewport are in middle, and alsou Xmid=-0.5 if it's brot. Further zoom in is pretty hard, so I switched back to outside render, put right coordinates and then went back to inside render. Pretty interesting result alsou are of combined "inside and outside render" especialy if there are outsides left, throught fractal would look thin as single pixel.
There are two problems with insides, slow render, and noisy pixels. Reducing Max iterations of insides to something about 20 -25 solwes first problem, this can enlarge size of fractal insides. Lower raystep multiplier or/and set Viewing 1:2 helps to solve the second problem.
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« Last Edit: August 05, 2012, 03:45:19 PM by Asdam »
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Alef
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« Reply #1 on: August 05, 2012, 03:32:53 PM » |
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Nicest looking and the most 3D mandelbrot probably is Makin3D-3-4, so I picked it. Outside render: Inside_2a Inside render are more holly grail than any outside render: Inside_2 Mandelbulb3Dv17{ Y.....S....O/...w....22......................s1E........Uz9..................... ................................aNaNaNaNaz1........A./..................y.2...rE ...........R..../M.0/.....kD5...50....E2......YwAh0F3crD/..........m/dkpXm1....E z.....UD12../..........wz..................................u1....y1...sD...../.. .z1...sDYsAIxzzzjz1..........WAbUdisqcljRRxgCKosEwnYRydIKa5uzwPN9SaPRGyDFHQlSHA1 Iw1iNMIOip7tzqF/G0ZZtVyD......YF4.............kD.2....sD..kz.................... .............oAnAr1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......v....k1. .....MEUZz1.......kz.wzzz1kS.s5.E....M2...kR....m....c3...k3....S....I1....UJS5Y Sc3U.W1KEyzlciszsU3YzTAe90..oc..zzSi...MarH7iXyD/oa4dabdnz1..........2k.8.kXWF1. .sM93P58iz9.MmnWK2zwz0........../2X0.wzzz1................................E.lc.. zzzz.................................2U.8.kzzzD................................. /6U0.wzzz1....................................8cU0.E./2.zz/cU08../2E.szDU08c..2E ./EzT/8cU0.E./2.Qs5cU08../2E..bTU08c..2E./.ly/8cU0.E./2.Mw5cU08../2E.kqTU08c..2E ./.kz/8cU0.E./2....cU08.zz/cU08.yz1cU08.xz3cU08................................. E.U..2....E.....I....A....EHVhKOiB1FhAH9o.UQ.........................6U......... ................................vFVf53iS2y1..................................... ................................................................................ ........................}
Deeper zoom into Makin3D-3-4 inside and different colour palette. Max iterations =22. Were a bitt noisy, so 1:2 wiev. Maybe it should had been 1:3 or 1:4: Inside_2c Mandelbulb3Dv17{ Y.....w....o0...K....22...UaNaNaNaNiz........s1E........EzfaNaNaNaNqz........... ........................................E.2........A./..................y.2...zE ...........40.../Q.0/.....E9G...W0....E2.....omEQgisq6oD/Q.........G0dkpXm1..... ./....cD12..0..........wz..................................u1....y1...sD...../.. .z1...sDYsAIxzzzjz1..........WAbUdisqcljRRxgCKosEwnYRydIKa5uzwPN9SaPRGyDFHQlSHA1 Iw1iNMIOip7tzqF/G0ZZtVyD......oyo/..pG3.......kD.2....sD..E..................... .............oAnAr1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......J....k1. .....MEUZz1.......kz9wzzz1.U..6.P....61...UB....m..06c3..U.F....6/...I1.....SM52 ...U.ydelyjeYFnzTeOgzf8No.6/1Ylzzzzz............/.........E..0.......Ek.NwzXWF1. .sM93P58iz9.MmnWK2zwz0........../EU0.wzzz1...........s/...................E.2c.. zzzz.............0...................2./8.kzzzD............8.................... /EU0.wzzz1....................................6Uz1kzzzj7An...0A.a.l0aY84.wzz.En7 HEHug.Ak.1kzzzTCfUnz.0A.a.l0awPF..sz.A06QA07Lxzzz1U7EgU72I4k.1A.zzzzagHQ..2U.M02 9M0vzpLTx/kzzzj7...crIGJzzFoTuIdyzngi8qdxzZX.4rU................................ E.U..2....E.....I....A....EHVhKOiB1FhAH9o.UQ.........................6U......... ................................vFVf53iS2y1..................................... ................................................................................ ........................}
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Alef
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« Reply #2 on: August 05, 2012, 03:33:19 PM » |
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Pretty interesting is BristorBrot. Here are inside and outside render combined. Inside_3b Mandelbulb3Dv17{ Y.....S....O/...w....22......................s1E........Uz9..................... ................................BnAnAnAngz1........A./..................y.2...rE ...........7..../Q.0/......I0...Y0....E2.....Yzbh40zwErD/Q.........m/dkpXm1....U z.....cD12../..........wz..................................u1....y1...sD...../.. .z1...sDYsAIxzzzjz1..........WAbUdisqcljRRxgCKosEwnYRydIKa5uzwPN9SaPRGyDFHQlSHA1 Iw1iNMIOip7tzqF/G0ZZtVyD......op2...CK........kD.2....sD..E..................... .............oAnAr1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......v....k1. .....MEUZz1........O..6E...U.66......M1...k9....p....k3...k9...../...Mnm....SX5A ...U.4I71SLs4rPMREpWy/Ouy16.0Apzkfwb............/............0........o3HxTDFs1. .......................U......../6U0.wzzz1................................E.0c.. zzzz.................................2U.8.kzzzD................................. /6U0.wzzz1...................................Izto0UvNP6.BfmhmPB.yRii.wMJquww..XR S1k4yFztp0UvNP6.Wt5xbL9.ibhV.keToTSh.sSq40.xyFztp0UvNP6.uw5xbL9.ibhV.2sToTSh.sSq 40.mzFztp0UvNP6...EsUa3.eeWCNq0.IJ36wk8.wyLsUa3..YaQmJrQTBrOtx3QVtqPm3KPVtWOkR4. E../.2....E.....I....A....UEmZqQoxaQ07rPo/UQ.................................... ...................../........zD........kz9..................................... ................................................................................ ........................}
Deeper inside render of BristorBrot. Max iterations is set to 22. Render slightly got outside of the fractal (at the right, rendered like 2D fractals): Inside_3c Mandelbulb3Dv17{ Y.....w....o0...K....22...UaNaNaNaNiz........s1EOaNaNaNaty1..................... ........................................6.2........A./..................y.2...zE ...........40.../Q.0/.....UlB...n0....E2.....2NKEvc97VoD/Q.........G0dkpXm1..... ./....cD12..0..........wz..................................u1....y1...sD...../.. .z1...sDYsAIxzzzjz1..........WAbUdisqcljRRxgCKosEwnYRydIKa5uzwPN9SaPRGyDFHQlSHA1 Iw1iNMIOip7tzqF/G0ZZtVyD......IEi...id0.......kD.2....sD..E..................... .............oAnAr1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......J....k1. .....MEUZz1.......kz.wzzz1.U..6.P....M2...UB....m....c3....F....6/...I1.....SF52 ...U.eoZgzjdqZpz8R7vzPeRN/6.1c..zzSi............/wyBIC4OWzH..........2k.8.kXWF1. .sM93P58iz9.MmnWK2zwz0........../EU0.wzzz1...........s/...................E.2c.. zzzz.............0...................2./8.kzzzD............8.................... /EU0.wzzz1....................................6EU.......zz/6FG1.QY2E.szD/PX5..KD v.EzTNie31kT6/4.Qs5U./0.......bT.026.......ly/6EU.......Mw5U./0......kqT.026.... ...kz/6EU..........U./0.zz/6FG1.yzHkqs/.xzZteKA................................. E.U..2....E.....I....A....UEmZqQoxaQ07rPo/UQ.................................... ...................../........zD........kz9..................................... ................................................................................ ........................}
Inside render of BristorBrot julia set. Visualy it is pretty simmilar as of mset. Max iterations = 15 Inside_3d Mandelbulb3Dv17{ Y.....w....o0...D....22......................s1E................................ ..........................................2........A./..................y.2...zE ..........U60.../Q.0/.....U4B...q/....E2.....omEQgisq6pD/Q.........G0dkpXm1..... ./....cD12..02kkrh7F6x6qzc1qOWVIUSujKYHBOK1zLz1............u1....y1...sD...../.. .z1...sDYsAIxzzzjz1..........WAbUdisqcljRRxgCKosEwnYRydIKa5uzwPN9SaPRGyDFHQlSHA1 Iw1iNMIOip7tzqF/G0ZZtVyD......YgP.../O/.......kD.2....sD..E..................... .............oAnAr1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......C....k1. .....MEUZz1.......kz.wzzz1.U..6.P....M2...UB....m....c3....F....6/...I1.....SF52 ...U.eoZgzjdqZpz8R7vzPeRN/6.1c..zzSi............/wyBIC4OWzH..........2k.8.kXWF1. .sM93P58iz9.MmnWK2zwz0........../EU0.wzzz1...........s/...................E.2c.. zzzz.............0...................2./8.kzzzD............8.................... /EU0.wzzz1....................................6EU.......zz/6FG1.QY2E.szD/PX5..KD v.EzTNie31kT6/4.Qs5U./0.......bT.026.......ly/6EU.......Mw5U./0......kqT.026.... ...kz/6EU..........U./0.zz/6FG1.yzHkqs/.xzZteKA................................. E.U..2....E.....I....A....UEmZqQoxaQ07rPo/UQ.................................... ...................../........zD........kz9..................................... ................................................................................ ........................}
The same as previous fractal, but Maximum iterations is set to 22. Inside shape of fractal is smaller. Inside_3e Mandelbulb3Dv17{ Y.....w....o0...K....22......................s1E................................ ..........................................2........A./..................y.2...zE ..........U10.../Q.0/.....k48...U0....E2.....omEQgisq6pD/Q.........G0dkpXm1..... ./....cD12..02kkrh7F6x6qzc1qOWVIUSujKYHBOK1zLz1............u1....y1...sD...../.. .z1...sDYsAIxzzzjz1..........WAbUdisqcljRRxgCKosEwnYRydIKa5uzwPN9SaPRGyDFHQlSHA1 Iw1iNMIOip7tzqF/G0ZZtVyD......ovQ...iH/.......kD.2....sD..E..................... .............oAnAr1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......J....k1. .....MEUZz1.......kz.wzzz1.U..6.P....M2...UB....m....c3....F....6/...I1.....SF52 ...U.eoZgzjdqZpz8R7vzPeRN/6.1c..zzSi............/wyBIC4OWzH..........2k.8.kXWF1. .sM93P58iz9.MmnWK2zwz0........../EU0.wzzz1...........s/...................E.2c.. zzzz.............0...................2./8.kzzzD............8.................... /EU0.wzzz1....................................6EU.......zz/6FG1.QY2E.szD/PX5..KD v.EzTNie31kT6/4.Qs5U./0.......bT.026.......ly/6EU.......Mw5U./0......kqT.026.... ...kz/6EU..........U./0.zz/6FG1.yzHkqs/.xzZteKA................................. E.U..2....E.....I....A....UEmZqQoxaQ07rPo/UQ.................................... ...................../........zD........kz9..................................... ................................................................................ ........................}
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Alef
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« Reply #3 on: August 05, 2012, 03:33:48 PM » |
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Amazing box from inside looks pretty different than from outside, lots of flying objects. But it renders slower. Plain amazingbox S=1.5 R=0.5 F=1 Inside_1 Mandelbulb3Dv17{ Y.....S....O/...K....2...............1.......s1E........sz1..................... ........................................kz1........Y./..................y.2...rE ..........kP..../s.0/......UQ...G1....E2.....omEQgisq6rD/..........m/dkpXm1....U z.....kD12../..........wz..................................u1....y1...sD...../.. .z1...sDYsAIxzzzjz1..........WAbUdisqcljRRxgCKosEwnYRydIKa5uzwPN9SaPRGyDFHQlSHA1 Iw1iNMIOip7tzqF/G0ZZtVyD......YyZ.............kD.2....sD..kz.................... .............oAnAr1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......J....k1. .....MEUZz1........O..6E...U.66......M1...k9....p....k3...k9...../...Mnm....SX5A ...U.4I71SLs4rPMREpWy/Ouy16.0Apzkfwb............/............0........o3HxTDFs1. .......................U......../6U0.wzzz1................................E.0c.. zzzz.................................2U.8.kzzzD................................. /6U0.wzzz1...................................Izto0UvNP6.BfmhmPB.yRii.wMJquww..XR S1k4yFztp0UvNP6.Wt5xbL9.ibhV.keToTSh.sSq40.xyFztp0UvNP6.uw5xbL9.ibhV.2sToTSh.sSq 40.mzFztp0UvNP6...EsUa3.eeWCNq0.IJ36wk8.wyLsUa3..YaQmJrQTBrOtx3QVtqPm3KPVtWOkR4. E.U..2....E.....2....A....EEh3aSdtqNU6oPs/UQ..........................k/9....... ...................yz.........yD........kz1..................................... ................................................................................ ........................}
Positive scale Amazingbox + positive scale _asdamTrans Inside_1b Mandelbulb3Dv17{ Y.....S....O/...K....22......................s1E..........A..................... ........................................kz1........Y./..................y.2...rE ..........kP..../Q.0/......nX...G1....E2.....omEQgisq6rD/Q.........m/dkpXm1....U z.....cD12../..........wz..................................u1....y1...sD...../.. .z1...sDYsAIxzzzjz1..........WAbUdisqcljRRxgCKosEwnYRydIKa5uzwPN9SaPRGyDFHQlSHA1 Iw1iNMIOip7tzqF/G0ZZtVyD......Imx/..360.......kD.2....sD..E..................... .............oAnAr1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......J....k1. .....MEUZz1.......kz.wzzz1.U..6......M2...UB....m....c3...kG....P....YJB..U2w7DK ...U.eoZgzjdqZpz8R7vzPeRN/..1c..zrif............/wyBIC4OWzH...........Y/8..1fk1. .wUmc2beYz1.dA8E5Exwz0........../613zHG7f...mIqp.tasz..pMnDnNqyj.gM3ZaYq1zP.mc.. .Rn9..UAZRBEi7.E..cXcESLfz1..........2U.8.kzzzD................................. /6U0.wzzz1....................................6EU.......zz/6FG1.QY2E.szD/PX5..KD v.EzTNie31kT6/4.Qs5U./0.......bT.026.......ly/6EU.......Mw5U./0......kqT.026.... ...kz/6EU..........U./0.zz/6FG1.yzHkqs/.xzZteKA................................. E.U..6....E.....2....A....EEh3aSdtqNU6oPs/UQ..........................k/9....... ..........EnAnAnAnAyz.........yD........kz1..................................... ................................................................................ .....................2.....3....2....wJMnFKMhFZQVtqQ............................ 4MU/..........................................................yD................ ................................................................................ ................................}
Positive scale Amazingbox + negative scale _asdamTrans. Smoother than previous. Inside_8 Mandelbulb3Dv17{ Y.....S....O/...w....22......................s1E................................ ........................................kz1........Y./..................y.2...rE ...Uz......v..../M.0/.....EiA...t/....E3.....omEQgisq6rD/..........m/dkpXm1....U z.....kD12../..........wz..................................u1....y1...sD...../.. .z1...sDYsAIxzzzjz1..........WAbUdisqcljTcFzUvMS3t97C1JzzzzvzUNehUisqcljMaO9c9iB Ow1mQ0auWPX4zU2bVezzzzyD......YNh/............sD.6....sD..kz.................... .............oAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......C....k1. .....MEUZz1.......kz.wzzz1.U..6.P....Y2...EB....s1...w.....F....6/...I1.....SF52 ...U.0aZczDM6/nzMg2czX6dE16.0c..zrhe..UoK/nl2xvj/sM93P58iz1...........U.8.UQgk0. .wUmc2beYz1.dA8E5Exwz0........../EU0.wzzz1...........s/...................E.2c.. zzzz.............0...................2./8.kzzzD............8.................... /EU0.wzzz1...................................UTVR..y3q/.zz/k.1A..1Ak.szDsnwF.UDn 5/EzThdht0kaqa9.Qs5y3q/.sLM5..bTsLM5.UTVR..lyVTVR..y3q/.Mw5y3q/.sLM5.kqTsLM5.UTV R..kzVTVR..y3q/....y3q/.zz/k.1A.yz1yAT2.xzpaqa9................................. E.U..6....E.....2....A....EEh3aSdtqNU6oPs/............................k/9....... ..................././........yDOaNaNaNalz1..................................... ................................................................................ .....................2.....3....2....wJMnFKMhFZQVtqQ............................ 4MU/..........................................................zj................ ................................................................................ ................................}
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Alef
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« Reply #4 on: August 05, 2012, 03:34:07 PM » |
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Some other formulas do have interesting inside renders. Beth641 + negative scale _asdamTrans used in previous thread. This fractal had extremely slow inside render so I set maximum iterations to 15 instead of default 60. Inside_9 Mandelbulb3Dv17{ Y.....N....Y/...D....22............sz0.......s1E................................ ................................nAnAnAnAnz1........7./..................y.2..UoE ...Uz......s..../Q.0/.....EMP/..h.....E3.....omEQgisq6rD/Q......b6wE/dkpXm1.R6dS y.EnAnQD12../.kYFMyzyDnYzAmpmUJDZbxDW6PlfdOEdz1............u1....y1...sD...../.. .z1...sD/eByGVpThx1lxz557BGIymXDwqRe83kDGqZ5F29u/u98Z9EZJyLPzUVvgy5DO2jDua/Vt0eG /w93iLyRVdFwyeqdwr5FzpqD......Y421..fe6.......sD.6....sD..E..................... .............oAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......6....k1. .....MEUZz1........O..6E...U.66......M1...k9....p....k3...k9...../...Mnm....SX5A ...U.4I71SLs4rPMREpWy/Ouy16.0Apzkfwb............/............0........o3HxTDFs1. .......................U......../6U0.wzzz1................................E.0c.. zzzz.................................2U.8.kzzzD................................. /6U0.wzzz1...................................Izto0UvNP6.BfmhmPB.yRii.wMJquww..XR S1k4yFztp0UvNP6.Wt5xbL9.ibhV.keToTSh.sSq40.xyFztp0UvNP6.uw5xbL9.ibhV.2sToTSh.sSq 40.mzFztp0UvNP6...EsUa3.eeWCNq0.IJ36wk8.wyLsUa3..YaQmJrQTBrOtx3QVtqPm3KPVtWOkR4. E.U..6....E.....I....2....UEZF5OqEHA..ERVl4...........................k/9....... ..............................yD........kz1..................................... ................................................................................ .....................2.....3....2....wJMnFKMhFZQVtqQ............................ 4MU/..........................................................yj................ ................................................................................ ................................}
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Alef
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« Reply #5 on: August 05, 2012, 03:34:28 PM » |
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Somehow triplex formulas have the most boring inside renders. In inside they look exactly as from outside, as if all triplex fractals are one pixel thick. Probably this is how inside render are suposed to be, but this means no fun of discovery. Triplex Tricorn fractal using both inside and outside rendering: Inside_5 Mandelbulb3Dv17{ Y.....S....O/...w....22......................s1E........Uz9..................... ................................OaNaNaNadz1........A./..................y.2...rE ..........k5..../Q.0/.....UU/...B0....E2.....QzIXLua2PrD/Q.........m/dkpXm1....U z.....cD12../..........wz..................................u1....y1...sD...../.. .z1...sDYsAIxzzzjz1..........WAbUdisqcljRRxgCKosEwnYRydIKa5uzwPN9SaPRGyDFHQlSHA1 Iw1iNMIOip7tzqF/G0ZZtVyD......YC0...v2........kD.2....sD..E..................... .............oAnAr1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......v....k1. .....MEUZz1.......kz.chqO1.U..6.P....M/...kD....i/...kB....F....8/...I1.....SF5I ...U.O3Xhihf9BnqM..XPXo9..6.5c..rTzx............/.........E..0........U.8.kXWF1. .sM93P58iz9.MmnWK2zwz0........../6U0.wzzz1................................E.0c.. zzzz.................................2U.8.kzzzD................................. /6U0.wzzz1...................................UgWL.Ufiu8.J.W4CK9.Sudb.U0EXMdZ.wtb T0EDUNgbL..ecW8.kt5mHS/.Sudb.IfTU1....Dwk1Uyy/C....wk1D..x5s....k1Dw.MsTU1....Dw k1Umz/C....wk1D....s....zz/..wD.yz1.s0..xzJrf0.................................. E../.2....E.....1....6.....JmZqMj7bP.o4QgJ4S/tqNgJqQ............................ .....................1........zD................................................ ................................................................................ ........................}
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Alef
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« Reply #6 on: August 05, 2012, 03:35:12 PM » |
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Some colour pallettes and lights I used. Not all ar mine, say "Stalaktites and Stalagmites" is by Lalla. I was thinking, that there should be downloadable large lights pack with > 20 lights of whatever origin.
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« Last Edit: August 09, 2012, 04:23:17 PM by Asdam »
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jpuget
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« Reply #7 on: March 13, 2015, 04:42:35 PM » |
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hello!
and is it possible to colour the sectioned plans we make in the fractals? I mean, not in just one colour, but having like a pattern in the sectioned face...
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cKleinhuis
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« Reply #8 on: March 13, 2015, 04:50:39 PM » |
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you can use a light-map check the lighting options you can project an image from a light source
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divide and conquer - iterate and rule - chaos is No random!
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cKleinhuis
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« Reply #9 on: March 13, 2015, 05:35:28 PM » |
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thank you cKleinhuis! I s in that way how MickHogan makes it? I post his link.
file://users/Users/joaquin/Desktop/detailed%20cross/Detailed%20Cross%20by%20MickHogan%20on%20DeviantArt.html
please post a web url and not a url to a local file of yours...
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divide and conquer - iterate and rule - chaos is No random!
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jpuget
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« Reply #10 on: March 13, 2015, 05:56:37 PM » |
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youhn
Fractal Molossus
Posts: 696
Shapes only exists in our heads.
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« Reply #11 on: March 13, 2015, 06:53:43 PM » |
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While some of these pictures are beautiful, I can image the 3D grail to look very boring from the inside. I mean, if you iterate the standard 2D mandelbrot enough, there is only inside space in the bulbs. And they are almost disconnected. So you will find yourself in one of those almost-sperical 3D bulbs, looking for very small holes to crawl through the next bulb. Maybe I'm just too much focussed on the end of the iteration process, while it's actually about the process itself.
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« Last Edit: March 13, 2015, 07:14:46 PM by youhn »
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cKleinhuis
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« Reply #12 on: March 13, 2015, 07:32:14 PM » |
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you can adjust the colors of the 3d object easily in the lighint tab, apply gradients and stuff, many possibilities you have to check out, try playing with the sliders and the gradients in the lighting tabs
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divide and conquer - iterate and rule - chaos is No random!
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jpuget
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« Reply #13 on: March 16, 2015, 10:55:05 AM » |
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Thank you people! I know I can play with ths sliders, but the question was if I can get anything with so much details as Mickhogan does in his detailed cross. I wonder if all those colours are given by the 3d or by the gradient in the cutted face...
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cKleinhuis
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« Reply #14 on: March 16, 2015, 12:16:52 PM » |
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you have more coloring options in the "coloring" tab of the main window ...
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divide and conquer - iterate and rule - chaos is No random!
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