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Blue like an OrangeThis is not a cubeThe Next Fabergé Egg
This is not a cube
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Description:  afro
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Total Favorities: 0 View Who Favorited
Filesize: 190.13kB
Height: 600 Width: 800
Discussion Topic: View Topic
Keywords: m3d MengerIFS rhombic dodecahedron 
Posted by: blob January 22, 2012, 01:07:40 PM

Rating: ***** by 6 members.

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blob
Strange Attractor
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January 22, 2012, 07:30:47 PM
Looks can be deceiving isn't it? Unlike Magritte's pipe which is at least a representation of a pipe, this is not even the representation of a cube. As indicated in the keywords this is a rhombic dodecahedron made out of the MengerIFS formula. Params:

Mandelbulb3Dv17{
V.....S....O/...w....2.....rAr9RTX8..1DhxP/9182E0bOiXN/2QyvaZ31DOcuezGloaDMVYq.E
................................17bAlh86az1........Y./..................y.2.....
................/M.0/....6.f....W2....E2.....YV6mtuELdrD/..........m/dkpXm1....U
z.....kD12../..........wz..................................u1....y1...sD...../..
.w1...sDNS5DgCoJux1..........aVkiYE3IKej/pUpyDJfFrParl1f1RZSzMJLTRE3IKejKppL5I/Z
ZuH40vG0JENdyYFn4cuELdrD......27..............kD.2....sD..kz0...................
.............oAnAr1...sD....z.MRW6.6q7W..Pb60.qRW6..s7W.UWb60.ISW6......R....k1.
..................kz.wzzz1.U..6.P....o0...EB....t/...o5....F....8/...I1.....Sl42
...U.0aZczDM6/nz..6kz1.U.16.rc..zzzz.MxuvBTuCfxDQvM93P58iz1...........k38..U.06.
IwUmc2beYzX.0PJWp1Puz0..........UQV0.wzzz1EF1wVu4E.uzKqQhUXI/1yj..........E.0c..
zzzz.................................2U.8.kzzzD.................................
/6U0.wzzz1....................................6U.0kzzzD.ee0U.06..1Ak.EJJ.06U..6U
.0.mx/6U.0kzzzD.Qs5U.06.zzzz..bT.06U.wzzz1.ly/6U.0kzzzD.Mw5U.06.zzzz.kqT.06U.wzz
z1.kz/6U.0kzzzD....U.06.ee0U.06.IJ3U.06.wy5U.06.................................
E....2....E.....I....Q....EHZtqNZ7LG4B3.rJaQ..............................U/4Mk1
0..................yz.........zD...................sz...........................
................................................................................
........................}

Increase scale to 2 to get the object as in the picture.

Change CScale Z to 0 and you yeld an octahedron instead.

Change then CScale Y to 1 and you get a cuboctahedron (outwardly identical to Darkbeam's Haferman3 formula at scale 2)

By playing a bit more with the CScale parameters we can also get the truncated cube, the truncated octahedron, the great rhombicuboctahedron and perhaps some more I haven't found yet.

 afro
Guest
January 22, 2012, 04:28:17 PM
 w00t !!

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