21 Jun
2018
21 Jun
'18
3:30 a.m.
* Ed Pegg Jr <ed@mathpuzzle.com> [Jun 21. 2018 10:53]:
[...]
3D rep-tiles that are not derived from 2D rep-tiles are currently quite rare.
Is this really a rep-tile? I thought for those you take a set of affine maps map_i(v) := t_i + M * v where M is a rotation (the same for all maps!) and only the translations t_i are different. I created a few 3D fractals using 8 such maps a while ago, using either cubes, rhombic dodecahedra, or truncated octahedra. These things a lattice tilings. Not all of them are genus 0 in the limit. Best regards, jj
[...]