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Welcome to Fractal Forums > Fractal Software > 3D Fractal Generation > Mandelbulb 3d > Please help?
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Author Topic: Please help?  (Read 512 times)
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DarkBeam
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Fragments of the fractal -like the tip of it
« on: October 14, 2013, 12:31:40 PM »
Can you get the exact koch curve modifying this?
Mandelbulb3Dv18{
g.....S....O/...A....2....UBqcJDfsq3.fm5UILa9/3EQ7q4H3BOKwfCEFkZAhI..bpGfFswOhyj
................................OaNaNaNadz1........A./..................y.2...wD
...Uz6....U/..../M.0/.....Uv....H.....E3.....QzIXLua2PrD/..........m/dkpXm1....U
z.....kD12../..........wz.................................U0.....y1...sD...../..
.z1...sDECayXi7lqx1..........UjJy0vma8ejyPY6.lWLWu1kHACyPKuHzknp6AExfNrDZp7pOOBv
tt1sLdC/pjaRzKkRvMzaZyoDU.....o1..............sD.6....sD..G.....................
.............oAnAt1...sD....z...........................................5....k1.
.....Ksulz1.......kz.wzzz1.U..6.P....U5...EB....m....c3....F....6/...I1.....SF52
...U.qFG9yzb2zzzRYoWzz7lz16.pc..zXCc..kvrEtMc7xD6ocyFE0ujz1..........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....AU.V2E.....I....Y.....Rm3aPnNqPmpaA7NoI.............................MU/46U.
0..................wz0.......U.E.............................s1E................
...wz...........................................................................
.....................2.....3....7....EbQVtqQaxaQh7HG4B3.........................
....4MU/06U...................zj........6.2.............................y.A.....
..............zD................................................................
................................/....E/...E1....Wx4S7NoI........................
..............U1C....2U.02E.....OaNaNaNatyXaNaNaNaNiz........E0E........6.2.....
.............6/k........Uz1.............................kz1...................zD
........kz1.................................}
{Titel: vonkoch~}
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bib
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« Reply #1 on: October 14, 2013, 02:09:11 PM »
By trial and error up to the 10th decimal.

Mandelbulb3Dv18{
g.....S....O/...S....2.....rBaBi2aw6.PpwpyvrYn3EZ36H2OB3cyvy0Ge8vb6/.1OqXu9tMZzD
................................8LTSFtCIKz1........A./..................y.2...wD
...Uz6....U/..../M.0/.....Uv....H.....E3.....sBnpP7HScsD/..........m/dkpXm1....U
z.....kD12../..........wz.................................U0.....y1...sD...../..
.z1...sDuMJjPVRp7yHh/CCkoeOLzeZOWGRytwnjW2ALYWc5KxXkmtL495hSzEIsSpLvxMsDDdD.j.LE
JxvxTSV7geVVzWpNuwvMEhrDU.....I0..............sD.6....sD..G.....................
.............oAnAt1...sD....zw1.........................................5....k1.
.....Ksulz1.......kz.wzzz1.U..6.P....U5...EB....m....c3....F....6/...I1.....SF52
...U.qFG9yzb2zzzRYoWzz7lz16.pc..zXCc..kvrEtMc7xD6ocyFE0ujz1..........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....AU.V2E.....I....Y.....Rm3aPnNqPmpaA7NoI.............................MU/46U.
0.........kh2/5JJJJxz0.......................................s1E................
...wz...........................................................................
.....................2.....3....7....EbQVtqQaxaQh7HG4B3.........................
....4MU/06U..........Qql4JLk8vzj..........kHJJJJJJJtz...................y.A.....
..............zD................................................................
................................/....E/...E1....Wx4S7NoI........................
..............U1C....2U.02E.....MaNaNaNaNy9aNaNaNaNaz0.......E0E........6.2.....
........................................................kz1...................zD
........kz1.................................}
{Titel: vonkoch~}
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DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #2 on: October 14, 2013, 05:21:30 PM »
remarkable! Thanks a lot! A Beer Cup don't know really why only 1.92... can work sad
« Last Edit: October 14, 2013, 05:26:42 PM by DarkBeam » Logged
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bib
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« Reply #3 on: October 14, 2013, 05:36:09 PM »
I looked on wolfram alpha, without success...
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bib
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« Reply #4 on: October 14, 2013, 05:50:55 PM »
With another number from nowhere 0.7698003224536

Mandelbulb3Dv18{
g.....S....O/...S....2.....Sle/u2TH2.PHIzRzSqQ2E74omJiOALz1DfFtuxkbyzWTPugplT5yD
................................MaJoMxRJez1........A./..................y.2...wD
...Uz6....E/..../M.0/......n....Y.....E3.....cQ7SShpVMrD/..........m/dkpXm1....U
z.....kD12../..........wz.................................U0.....y1...sD...../..
.z1...sDfvc9LZPjpx1r6I..ZhEEzkw6KT/.flojOyGaxHIO6xnuW55NbDaIzQExV0euiJrD1j9KccBO
4xnoh9e.LhMRz4o6fnwuX1pDU.....o/..............sD.6....sD..G.....................
.............oAnAt1...sD....zw1.........................................6....k1.
.....Ksulz1.......kz.wzzz1.U..6.P....U5...EB....m....c3....F....6/...I1.....SF52
...U.qFG9yzb2zzzRYoWzz7lz16.pc..zXCc..kvrEtMc7xD6ocyFE0ujz1..........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....AU.V2E.....I....Y.....Rm3aPnNqPmpaA7NoI.............................MU/46U.
0.........kh2/5JJJJxz0.......................................s1E................
...wz...........................................................................
.....................2.....3....7....EbQVtqQaxaQh7HG4B3.........................
....4MU/06U..........2ZPgY2BWWyj........................................y.A.....
..............zD................................................................
................................/....E/...E1....Wx4S7NoI........................
..............U1C....2U.02E.....MaNaNaNaNy9aNaNaNaNaz0.......E0E........6.2.....
........................................................kz1...................zD
........kz1.................................}
{Titel: main paras~}
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bib
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« Reply #5 on: October 14, 2013, 06:28:55 PM »
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« Reply #6 on: October 14, 2013, 08:56:40 PM »
Quote from: bib on October 14, 2013, 06:28:55 PM
            http://fc04.deviantart.net/fs70/f/2013/287/6/4/keyframe__7__by_bib993-d6qgd3o.jpg

Nice example of the Koch Curve !!!    cheesy
 
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DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #7 on: October 15, 2013, 09:47:09 AM »
well it makes sense!

it is equal to 4/9 sqrt 3... cos (pi/6) = 1/2 sqrt 3

and scale squared is also 9.... cheesy it can be generalised methinks!
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« Reply #8 on: October 15, 2013, 09:53:14 AM »
Cool! Out of curiosity what was your original intention with this, to create a standard vonKoch IFS formula?

I will make a 3D print with it smiley
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DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #9 on: October 15, 2013, 10:52:04 AM »
 embarrass Yes; but I need to find the exact relation behind shifts, angles and all or it won't work Jeremie cheesy I will see. It should be straightforward...
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DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #10 on: October 15, 2013, 12:15:50 PM »
Hum; it appears to exist a much simpler solution. First do (-1;0;+1) then (-1;0;-1/3) and it appears to be okay

But it does not work for any angle still fiery

Mandelbulb3Dv18{
g.....S....O/...S....2.....qFaQEPiY4.zo.94HMdc7ESXoOkmvZYwvPR72UhZ3kzi03nDRCXYzj
................................OaNaNaNadz1........A./..................y.2...wD
...Uz6....U/..../M.0/.....k5/...V.....E3.....QzIXLua2PrD/..........m/dkpXm1....U
z.....kD12../..........wz.................................U0.....y1...sD...../..
.z1...sDECayXi7lqx1..........UjJy0vma8ejyPY6.lWLWu1kHACyPKuHzknp6AExfNrDZp7pOOBv
tt1sLdC/pjaRzOkRvMzaZyoDU.....Y7..............sD.6....sD..G.....................
.............oAnAt1...sD....zw1.........................................7....k1.
.....Ksulz1.......kz.wzzz1.U..6.P....U5...EB....m....c3....F....6/...I1.....SF52
...U.qFG9yzb2zzzRYoWzz7lz16.pc..zXCc..kvrEtMc7xD6ocyFE0ujz1..........2.28.kFrA0.
.Ub96aAIVz9.1se7Umvxz0........../EU0.wzzz1...........s/...................E.2c..
zzzz.............0...................2./8.kzzzD............8....................
/EU0.wzzz1...................................wD....U.0cvuF0U.06..06Ub9DG.06U..6U
.uhVf/6U.0.U.0cv9u4U.06..06UiDNQ.06U..6U.uCco/6U.0.U.0cvcS5U.06..06UifeS.06U..6U
.uCix/6U.0.U.0cv..EsUa3feeWCNqGQIJ36wk8EwyLsUa3f................................
E....AU.V2E.....I....Y.....Rm3aPnNqPmpaA7NoI.............................MU/46U.
0..................wz0..................kz1..................s1E................
...wz...........................................................................
.....................2.....3....7....EbQVtqQaxaQh7HG4B3.........................
....4MU/06U...................zj..........UqG2QIJJJpz0..................y.A.....
..............zD................................................................
................................/....E/...E1....Wx4S7NoI........................
..............U1C....2U.02E.....vFVf53iS2ynSIsuFVf5Vz........E0E........6.2.....
........................................................kz1...................zD
........kz1.................................}
{Titel: oncemorevonkoch}

And by the way I found the mystic origin of 1.9245 = 10/9 sqrt(3) = 10/9 * cotg(pi/6) A Beer Cup

Now, it can be also a relation between sine or cosine snore dunno
« Last Edit: October 15, 2013, 12:23:54 PM by DarkBeam » Logged
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DarkBeam
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Fragments of the fractal -like the tip of it
« Reply #11 on: October 16, 2013, 12:41:19 PM »
Combined with polyfold gives something; grin
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