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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~}

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~}

remarkable! Thanks a lot! :beer: don't know really why only 1.92... can work :sad1:

I looked on wolfram alpha, without success...

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~}

(http://fc04.deviantart.net/fs70/f/2013/287/6/4/keyframe__7__by_bib993-d6qgd3o.jpg)

Nice example of the Koch Curve !!!    :D
 

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.... :D it can be generalised methinks!

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 :)

 :embarrass: Yes; but I need to find the exact relation behind shifts, angles and all or it won't work Jeremie :D I will see. It should be straightforward...

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) :beer:

Now, it can be also a relation between sine or cosine :snore: dunno

Combined with polyfold gives something; ;D

(http://fc07.deviantart.net/fs71/i/2013/289/b/d/koch_space_station_by_dark_beam-d6qnv46.png)