I can create a Menger sponge fractal using geometry nodes.




See Blender file below:

Now I'm trying to create a Sierpinski Dodecahedron


I tried to replace the cube node with a Dodecahedron created as an object but that didn't work


The goal is to create the Sierpinski Dodecahedron fractal that can be sliced into several sections and 3D printed out.

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    $\begingroup$ Have been discussing this with @lemon just recently .. have got this far.. but running into floating-point errors in the dodecahedral case. Got to get the maths right for the scaling factor. And I know, on my machine, if I go one level further I will crash $\endgroup$ Nov 20 '21 at 20:13

with this node setup:

enter image description here

you get this:

enter image description here

one more instance level:

enter image description here

enter image description here

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    $\begingroup$ Great stuff! How did you determine your scale factor? I wound up with accumulating deviations.. (Mind you, the resolution will surely be greater than any printer's, anyway...) $\endgroup$ Nov 21 '21 at 8:17
  • $\begingroup$ Thank you!!!!! I just read the wiki article 😅 $\endgroup$
    – Chris
    Nov 21 '21 at 8:31
  • $\begingroup$ One more level and my computer still worked but Blender crashed everytime…😢 $\endgroup$
    – Chris
    Nov 21 '21 at 8:32
  • $\begingroup$ :) I thought I'd read the right wiki article.. but apparently not... link? I think we still both have a problem... coincident (duplicate) instances ?? .. you could maybe squeeze another level out.. $\endgroup$ Nov 21 '21 at 8:53
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    $\begingroup$ that gives the scale factor for instances in the corners: 1/(2+phi) I've still got to work out the factor for instances on the corners? I'll get to it.. my neurons aren't firing atm. Need coffee. $\endgroup$ Nov 21 '21 at 10:05

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