_asdamTrans (Unit Vector ) use

Alef

Fractal Supremo

Posts: 1174

_asdamTrans (Unit Vector ) use

« on: July 31, 2012, 02:30:26 PM »

In continiuing Lalla thread somewhere in parameters.

From mathematical point of view, in each iteration is added unit vector multiplied by some factor. What is unit vector one can read in wikipedia, but it seems that it helps formula to bail out sooner and substraction don't allows to bail out so soon.
http://en.wikipedia.org/wiki/Unit_vector
As a result transformationr with positive factor shrunks all the fractals, and with a negative bloats them. This works in both 2D and 3D, there are some Ultra Fractal formulas using this transformation.

Transformation is from m3d version 1.8, throught here I used m3d version 1.7 so it could not work so, and deffinetely woun't work without _asdamTrans.m3f being copyed in respective folder.

example_1
Here I picked pretty basic Amazingbox with S = 2.5, min R =0.5, F=1.1 as a foundation.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....22...EMkif8KtM9.jHwsOJV4M5EyMxXLE0JkyHupsKxKYW9zonUsiCYc7.E
................................HyBHVzdzBz1........Y./..................y.2...rE
...Uz.....EV..../M.0/......v....p/....E3.....IYcOqiciBtD/..........m/dkpXm1....U
z.....kD12../..........wz..................................u1....y1...sD...../..
.z1...sDIwoAjGdPHyHpGk79UrhEy8NV61NA5Slj43W7DUB3erPkIZzuWuqYzMJDqmPQKzfjIg4fG4nV
Lw1q3BlMPNxjyke.Gq8ZiBtD......o8/.............sD.6....sD..kz....................
.............oAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......A....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....E2...UD....m....c3....F....6/...I1.....SF5I
...U.qFG9yzb2zzzRYoWzz7lz16.oc..s5xd..kvrEtMc7xD/ocyFE0ujzH............B8..C6zA.
.Ub96aAIVz9.1se7Umvxz0........../EU0.wzzz1...........s/...................E.2c..
zzzz.............0...................2./8.kzzzD............8....................
/EU0.wzzz1...................................wjXw.UvNPcveeWMW74.yRiibHJJ.U1n..XR
SvBmx3CcN/UvNPcvQsLsUa3.ibhVi1bTV1OK.sSq4uCly3CcN/UvNPcvMwLsUa3.ibhVinqTV1OK.sSq
4uCkz3CcN/UvNPcv..EsUa3feeWMW74.IJ3.PlA.wyLsUa3f................................
E....2....E.....2....A....EEh3aSdtqNU6oPs/............................k/9.......
..................././........yDOaNaNaNalz1.....................................
................................................................................
........................}

example_2
The same Amazingbox, but after goes _asdamTrans with a scale 1. This is just an example of shrinkage, so must not be beautifull.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....22...EMkif8KtM9.jHwsOJV4M5EyMxXLE0JkyHupsKxKYW9zonUsiCYc7.E
................................HyBHVzdzBz1........Y./..................y.2...rE
...Uz.....EI..../M.0/.....k3/...o/....E3.....IYcOqiciBtD/..........m/dkpXm1....U
z.....kD12../..........wz..................................u1....y1...sD...../..
.z1...sDIwoAjGdPHyHpGk79UrhEy8NV61NA5Slj43W7DUB3erPkIZzuWuqYzMJDqmPQKzfjIg4fG4nV
Lw1q3BlMPNxjyke.Gq8ZiBtD......o00.............sD.6....sD..kz....................
.............oAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......B....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....E2...UD....m....c3....F....6/...I1.....SF5I
...U.qFG9yzb2zzzRYoWzz7lz16.oc..s5xd..kvrEtMc7xD/ocyFE0ujzH............B8..C6zA.
.Ub96aAIVz9.1se7Umvxz0........../EU0.wzzz1...........s/...................E.2c..
zzzz.............0...................2./8.kzzzD............8....................
/EU0.wzzz1...................................wjXw.UvNPcveeWMW74.yRiibHJJ.U1n..XR
SvBmx3CcN/UvNPcvQsLsUa3.ibhVi1bTV1OK.sSq4uCly3CcN/UvNPcvMwLsUa3.ibhVinqTV1OK.sSq
4uCkz3CcN/UvNPcv..EsUa3feeWMW74.IJ3.PlA.wyLsUa3f................................
E....6....E.....2....A....EEh3aSdtqNU6oPs/............................k/9.......
..................././........yDOaNaNaNalz1.....................................
................................................................................
.....................2.....3....2....wJMnFKMhFZQVtqQ............................
4MU/..........................................................zD................
................................................................................
................................}

example_3
Then goes the same box, and the same transformation, but with negative scale -1. Amazing box now are bloated, and have more circles. If you cut this box you 'll notice hollows inside.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....22...EMkif8KtM9.jHwsOJV4M5EyMxXLE0JkyHupsKxKYW9zonUsiCYc7.E
................................HyBHVzdzBz1........Y./..................y.2...rE
...Uz.....kg..../M.0/......i....o/....E3.....IYcOqiciBtD/..........m/dkpXm1....U
z.....kD12../..........wz..................................u1....y1...sD...../..
.z1...sDIwoAjGdPHyHpGk79UrhEy8NV61NA5Slj43W7DUB3erPkIZzuWuqYzMJDqmPQKzfjIg4fG4nV
Lw1q3BlMPNxjyke.Gq8ZiBtD......oJ0.............sD.6....sD..kz....................
.............oAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......A....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....E2...UD....m....c3....F....6/...I1.....SF5I
...U.qFG9yzb2zzzRYoWzz7lz16.oc..s5xd..kvrEtMc7xD/ocyFE0ujzH............B8..C6zA.
.Ub96aAIVz9.1se7Umvxz0........../EU0.wzzz1...........s/...................E.2c..
zzzz.............0...................2./8.kzzzD............8....................
/EU0.wzzz1...................................wjXw.UvNPcveeWMW74.yRiibHJJ.U1n..XR
SvBmx3CcN/UvNPcvQsLsUa3.ibhVi1bTV1OK.sSq4uCly3CcN/UvNPcvMwLsUa3.ibhVinqTV1OK.sSq
4uCkz3CcN/UvNPcv..EsUa3feeWMW74.IJ3.PlA.wyLsUa3f................................
E....6....E.....2....A....EEh3aSdtqNU6oPs/............................k/9.......
..................././........yDOaNaNaNalz1.....................................
................................................................................
.....................2.....3....2....wJMnFKMhFZQVtqQ............................
4MU/..........................................................zj................
................................................................................
................................}


« Last Edit: August 05, 2012, 03:36:58 PM by Asdam »	Logged

fractal catalisator

Alef

Fractal Supremo

Posts: 1174

Re: _asdamTrans (Unit Vector ) use

« Reply #1 on: July 31, 2012, 02:31:37 PM »

example_4
When hybridisating fractals they sometimes dissapears, that is, they bails out nmuch too fast.
Here I hybridisated the same Amazingbox with S = 2.5, min R =0.5, F=1.1 and power=12 Mandelbulb. Not so great.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....22...EMkif8KtM9.jHwsOJV4M5EyMxXLE0JkyHupsKxKYW9zonUsiCYc7.E
................................HyBHVzdzBz1........Y./..................y.2...rE
...Uz.....k5..../M.0/.....E./...g.....E3.....IYcOqiciBtD/..........m/dkpXm1....U
z.....kD12../..........wz..................................u1....y1...sD...../..
.z1...sDIwoAjGdPHyHpGk79UrhEy8NV61NA5Slj43W7DUB3erPkIZzuWuqYzMJDqmPQKzfjIg4fG4nV
Lw1q3BlMPNxjyke.Gq8ZiBtD......oJ/.............sD.6....sD..kz....................
.............oAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......4....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....E2...UD....m....c3....F....6/...I1.....SF5I
...U.qFG9yzb2zzzRYoWzz7lz16.oc..s5xd..kvrEtMc7xD/ocyFE0ujzH............B8..C6zA.
.Ub96aAIVz9.1se7Umvxz0........../EU0.wzzz1...........s/...................E.2c..
zzzz.............0...................2./8.kzzzD............8....................
/EU0.wzzz1...................................wjXw.UvNPcveeWMW74.yRiibHJJ.U1n..XR
SvBmx3CcN/UvNPcvQsLsUa3.ibhVi1bTV1OK.sSq4uCly3CcN/UvNPcvMwLsUa3.ibhVinqTV1OK.sSq
4uCkz3CcN/UvNPcv..EsUa3feeWMW74.IJ3.PlA.wyLsUa3f................................
E....6....E.....2....A....EEh3aSdtqNU6oPs/............................k/9.......
..................././........yDOaNaNaNalz1.....................................
................................................................................
.....................2..........0....YYPoJqNZ756ExqRZ75.........................
8............................U0E........kz9.....................................
................................................................................
................................}

example_5
But then in between amazingbox and mandelbulb formulas I put _asdamTrans with scale = -3. Now it certainly have more body mass.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....22...EMkif8KtM9.jHwsOJV4M5EyMxXLE0JkyHupsKxKYW9zonUsiCYc7.E
................................HyBHVzdzBz1........Y./..................y.2...rE
...Uz.....Ud..../M.0/......s....k.....E3.....IYcOqiciBtD/..........m/dkpXm1....U
z.....kD12../..........wz..................................u1....y1...sD...../..
.z1...sDIwoAjGdPHyHpGk79UrhEy8NV61NA5Slj43W7DUB3erPkIZzuWuqYzMJDqmPQKzfjIg4fG4nV
Lw1q3BlMPNxjyke.Gq8ZiBtD......oE1.............sD.6....sD..kz....................
.............oAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......x....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....E2...UD....m....c3....F....6/...I1.....SF5I
...U.qFG9yzb2zzzRYoWzz7lz16.oc..s5xd..kvrEtMc7xD/ocyFE0ujzH............B8..C6zA.
.Ub96aAIVz9.1se7Umvxz0........../EU0.wzzz1...........s/...................E.2c..
zzzz.............0...................2./8.kzzzD............8....................
/EU0.wzzz1...................................wjXw.UvNPcveeWMW74.yRiibHJJ.U1n..XR
SvBmx3CcN/UvNPcvQsLsUa3.ibhVi1bTV1OK.sSq4uCly3CcN/UvNPcvMwLsUa3.ibhVinqTV1OK.sSq
4uCkz3CcN/UvNPcv..EsUa3feeWMW74.IJ3.PlA.wyLsUa3f................................
E....A....E.....2....A....EEh3aSdtqNU6oPs/............................k/9.......
..................././........yDOaNaNaNalz1.....................................
................................................................................
.....................2.....3....2....wJMnFKMhFZQVtqQ............................
4MU/.........................................................U.k................
................................................................................
................................/.........U.....7t4RZRKNm/0IjRLNm/..............
..........U0............................c.2........wz0..........................
................................................................................
............................................}


	Logged

fractal catalisator

Alef

Fractal Supremo

Posts: 1174

Re: _asdamTrans (Unit Vector ) use

« Reply #2 on: July 31, 2012, 02:32:51 PM »

example_8
Plain basic power = 12 mandelbulb.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....22....lPkaCkSn..jRCeCkwZW2E5TknWuaXmyfj6DijNWAczO8texe1KfyD
................................7U9VKLYknz1........A./..................y.2...rE
...Uz.....kN..../M.0/.....Um....b.....E3.....ASnUcKezpqD/..........m/dkpXm1....U
z.....kD12../.......................ois.YQK6O.A............u1....y1...sD...../..
.z1...sD/eByGVpThx1lxz557BGIymXDwqRe83kDGqZ5F29u/u98Z9EZJyLPzUVvgy5DO2jDua/Vt0eG
/w93iLyRVdFwyeqdwr5FzpqD......2W/.............sD.6....sD..kz....................
.............oAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......5....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....61...EB....m....c3....F....6/...I1.....SF52
...U.ydelyjeYFnzTeOgzf8No.6.nc..zzzz..EizccZWGyD/EdGkxmWcz1...........k.8.kXWF1.
.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....2....E..........6....EGiFLNbJaQU.pPrJaQ.........................c..........
...................8./........zj................................................
................................................................................
........................}

example_6
Here after normal power=12 Mandelbulb I put unit vector (_asdamTrans) with scale =0.5. It shrunk mandelbulb to something flower like.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....22....lPkaCkSn..jRCeCkwZW2E5TknWuaXmyfj6DijNWAczO8texe1KfyD
................................7U9VKLYknz1........A./..................y.2...rE
...Uz.....UD..../M.0/......x....c.....E3.....ASnUcKezpqD/..........m/dkpXm1....U
z.....kD12../.......................ois.YQK6O.A............u1....y1...sD...../..
.z1...sD/eByGVpThx1lxz557BGIymXDwqRe83kDGqZ5F29u/u98Z9EZJyLPzUVvgy5DO2jDua/Vt0eG
/w93iLyRVdFwyeqdwr5FzpqD......2r/.............sD.6....sD..kz....................
.............oAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......5....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....61...EB....m....c3....F....6/...I1.....SF52
...U.ydelyjeYFnzTeOgzf8No.6.nc..zzzz..EizccZWGyD/EdGkxmWcz1...........k.8.kXWF1.
.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....6....E..........6....EGiFLNbJaQU.pPrJaQ.........................c..........
...................8./........zj................................................
................................................................................
.....................2.....3....2....wJMnFKMhFZQVtqQ............................
4MU/...............................................F./........yD................
................................................................................
................................}

example_7
Julia set of previous fractal, julia parameter are from outside rings, mandelbulb + _asdamTrans scale=0.5.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....2A....lPkaCkSn..jRCeCkwZW2E5TknWuaXmyfj6DijNWAczO8texe1KfyD
................................7U9VKLYknz1........A./..................y.2...rE
...Uz.....kD..../M.0/.....ku....X.....E3.....ASnUcKezpqD/..........m/dkpXm1....U
z.....kD12../2kf65M1pStnzSHqhutMlsxDWS47ZEjAez9............u1....y1...sD...../..
.z1...sD/eByGVpThx1lxz557BGIymXDwqRe83kDGqZ5F29u/u98Z9EZJyLPzUVvgy5DO2jDua/Vt0eG
/w93iLyRVdFwyeqdwr5FzpqD......Yo/.............sD.6....sD..kz....................
.............oAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......4....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....61...EB....m....c3....F....6/...I1.....SF52
...U.ydelyjeYFnzTeOgzf8No.6.nc..zzzz..EizccZWGyD/EdGkxmWcz1...........k.8.kXWF1.
.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....6....E..........6....EGiFLNbJaQU.pPrJaQ.........................c..........
...................8./........zj................................................
................................................................................
.....................2.....3....2....wJMnFKMhFZQVtqQ............................
4MU/.................................................cNaNaNaNaxD................
................................................................................
................................}


	Logged

fractal catalisator

Alef

Fractal Supremo

Posts: 1174

Re: _asdamTrans (Unit Vector ) use

« Reply #3 on: July 31, 2012, 02:34:10 PM »

example_9
Here is bloated mandelbulb. Power = 12 mandelbulb + _asdamTrans scale=-2. From outside it looks almoust featurless.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....26....lPkaCkSn..jRCeCkwZW2E5TknWuaXmyfj6DijNWAczO8texe1KfyD
................................7U9VKLYknz1........A./..................y.2...rE
...Uz......U..../M.0/.....kc....S.....E3.....ASnUcKezpqD/..........m/dkpXm1....U
z.....kD12../.......................ois.YQK6O.A............u1....y1...sD...../..
.z1...sD/eByGVpThx1lxz557BGIymXDwqRe83kDGqZ5F29u/u98Z9EZJyLPzUVvgy5DO2jDua/Vt0eG
/w93iLyRVdFwyeqdwr5FzpqD......Yx/.............sD.6....sD..kz....................
..UaNaNaNaNszqAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......1....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....61...EB....m....c3....F....6/...I1.....oF52
...U.ydelyjeYFnzTeOgzf8No.6.nc..zzzz..EizccZWGyD/EdGkxmWcz1...........k.8.kXWF1.
.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....6....E..........6....EGiFLNbJaQU.pPrJaQ.........................c..........
...................8./........zj................................................
................................................................................
.....................2.....3....2....wJMnFKMhFZQVtqQ............................
4MU/...........................................................k................
................................................................................
................................}

example_91
However, in the inside it is hollow. Negative scale not only bloats fractal, but alsou creates hollow insides.
This is Power = 12 mandelbulb + _asdamTrans scale=-2, cutted at Z axis =-0.55 Red/ orange are inside of fractal, and blue, azure and violet is surface. This creates a bitt noise, so raystep multiplier must be decreased.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....26....lPkaCkSn..jRCeCkwZW2E5TknWuaXmyfj6DijNWAczO8texe1KfyD
................................7U9VKLYknz1........A./..................y.2...rE
...Uz.....EU..../M.0/......G/...Z.....E3.....ASnUcKezpqD/..........m/dkpXm1/...U
z.EnAnYD12../.......................ois.YQK6O.A............u1....y1...sD...../..
.z1...sD/eByGVpThx1lxz557BGIymXDwqRe83kDGqZ5F29u/u98Z9EZJyLPzUVvgy5DO2jDua/Vt0eG
/w93iLyRVdFwyeqdwr5FzpqD......oS0.............sD.6....sD..kz....................
..UaNaNaNaNszqAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......A....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....61...EB....m....c3....F....6/...I1......F52
...U.ydelyjeYFnzTeOgzf8No.6.nc..zzzz..EizccZWGyD/EdGkxmWcz1...........k.8.kXWF1.
.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....6....E..........6....EGiFLNbJaQU.pPrJaQ.........................c..........
...................8./........zj................................................
................................................................................
.....................2.....3....2....wJMnFKMhFZQVtqQ............................
4MU/...........................................................k................
................................................................................
................................}


	Logged

fractal catalisator

Alef

Fractal Supremo

Posts: 1174

Re: _asdamTrans (Unit Vector ) use

« Reply #4 on: July 31, 2012, 02:35:51 PM »

example_92
Mandelbulbs could be switched to all similar formulas and result would be pretty the same. Here is Beth641 and _asdamTrans scale=-2 cutted in Z axis =-0.5. The same fractal, just that mandelbulb formula is switched with Beth641.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....26....lPkaCkSn..jRCeCkwZW2E5TknWuaXmyfj6DijNWAczO8texe1KfyD
................................7U9VKLYknz1........A./..................y.2...rE
...Uz.....Eb..../M.0/.....kp0...k.....E3.....ASnUcKezpqD/..........m/dkpXm1/....
z.EnAnQD12../.kYFMyzyDnYzAmpmUJDZbxDW6PlfdOEdz1............u1....y1...sD...../..
.z1...sD/eByGVpThx1lxz557BGIymXDwqRe83kDGqZ5F29u/u98Z9EZJyLPzUVvgy5DO2jDua/Vt0eG
/w93iLyRVdFwyeqdwr5FzpqD......Yx2.............sD.6....sD..kz....................
...........szqAnAt1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......O....k1.
.....MEUZz1.......kz.wzzz1.U..6.P....61...kD....U0...w.....F....8/...I1.....SF5I
...U.0aZczDM6/nzMg2czX6dE16.0c..zrhe..UoK/nl2xvj/sM93P58izH...........U.8.UQgk0.
.wUmc2beYz1.dA8E5Exwz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.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....6....E.....I....2....UEZF5OqEHA..ERVl4...........................k/9.......
..............................yD........kz1.....................................
................................................................................
.....................2.....3....2....wJMnFKMhFZQVtqQ............................
4MU/...........................................................k................
................................................................................
................................}


	Logged

fractal catalisator

Alef

Fractal Supremo

Posts: 1174

Re: _asdamTrans (Unit Vector ) use

« Reply #5 on: July 31, 2012, 02:36:54 PM »

Here is cheesy Octahedron4 made more puffy by _asdamTrans with scale=-0.25. Oxtahedron, sierpinsky and alike formulas require smaller transformation scale, but generaly result of applied transformation is the same.

Code:

Mandelbulb3Dv17{
Y.....S....O/...w....2....kwyEW2Ls1/.9jBmnXNw02EFswk.D389zHbgXc9qfNxz8Yr4ttlASzD
........................................sz1........Y./..................y.2...rE
...........U0.../M.0/.....Us....y0....E5.....2NKEvc97VqD/..........m/dkpXm1.....
z.....kD12../..........wz..................................u1....y1...sD...../..
.z1...sDAcbiesfehx1aE4Y5ELNLzKKr36fqospjNOPsXfJ1Zx1TXkw91okNzEo/.CJX49qDtOtK9Uyu
iwnjRYsH4H.Oz47fOID6GhqD......2d1.............kD.2....sD..kz....................
.............oAnAr1...sD....zU/SU6.is/W.MZ560UTSU6.au/W.sg560UxSU6......H....k1.
.....MEUZz1........O.wzzz1kV.k7.G....M2....C....m....c3....A....0/...Mmm....Sn5Q
...U.W1KEyzlciszsU3YzTAe906.Ic..zzSi...MarH7iXyD/oa4dabdnzH...........kB8.kFrA0.
.Ub96aAIVz9.1se7Umvxz0........../6U0.wzzz1................................E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1...................................kimJ/.E./2.H.0u9b3../2E.g0EjneI..2E
./UCUxhdw..E./2.gtbwBz2../2E.EfTinvI..2E./EyyxCkG/.E./2.zwrvA93../2E.EsTlrBI..2E
./kmz/TmF/.E./2....cU08.zz/cU08.yz1cU08.xz3cU08..YaQmJrQTBrOtx3QVtqPm3KPVtWOkR4.
E....6....E.....I....g....kHXFLMcJ4NmxaPo.UQ................................Ak.1
Ak.1................./..................kz1.....................................
................................................................................
.....................2.....3....2....wJMnFKMhFZQVtqQ............................
4MU/..........................................................xj................
................................................................................
................................}


	Logged

fractal catalisator

Vega

Global Moderator
Conqueror

Posts: 143

From Russia With Love

Re: _asdamTrans (Unit Vector ) use

« Reply #6 on: July 31, 2012, 04:14:17 PM »

Very interesting transformations.
Nice pictures!


	Logged

My fractals

Alef

Fractal Supremo

Posts: 1174

Re: _asdamTrans (Unit Vector ) use

« Reply #7 on: July 31, 2012, 04:30:43 PM »

Thanks


	Logged

fractal catalisator

Pages: [1] Go Down

« previous next »

	Author	Topic: _asdamTrans (Unit Vector ) use (Read 2426 times)
		Description: A tutoruial
0 Members and 1 Guest are viewing this topic.

Related Topics
	Subject	Started by	Replies	Views	Last post
	Unit 7 Docking Bay Bravo Mandelbulb3D Gallery	Madman	0	762	November 23, 2010, 10:05:58 PM by Madman
	Neutronium Compressor Unit Mandelbulb3D Gallery	MarkJayBee	0	521	February 19, 2011, 04:13:43 PM by MarkJayBee
	Unit Vector Mandelbulb (variations) (new) Theories & Research	Alef	1	475	February 08, 2012, 07:03:41 PM by Alef
	Possible modification an unit vector addition Mandelbulb 3d	Alef	8	2359	April 16, 2012, 06:14:55 PM by Alef
	Self-organized processing unit Images Showcase (Rate My Fractal)	Chaos_Ink	1	1243	January 07, 2014, 07:06:19 PM by cKleinhuis

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!

	Welcome, Guest. Please login or register.	April 19, 2024, 08:09:13 AM
		Login with username, password and session length

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval, thanks and see you perhaps in 10 years again

The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again