Thread: "=?UTF-8?Q?Cs=C3=A1sz=C3=A1r_and_Szilassi_polyhedra?="

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Yesterday I learned about the Cs=C3=A1sz=C3=A1r polyhedron
on
Google+.

plus.google.com/u/0/+DavidJoyner/posts/HEBGDgqLgdG

It is the only known polyhedron besides the tetrahedron that has no
diagonals - all 7 vertices connect to every other. With 21 edges and 14
faces, its genus is 1. You can think of it as the complete graph
K_7 embedded on the torus.
It also has a dual, the Szilassi polyhedron
. Both relate to
the Heawood
graph .

Turns out I already had the latter configured in MagicTile (the {6,3}
7-Color), but I didn't have the former, so I just added it. Here are some
pictures of the tilings.

https://goo.gl/photos/K1vYapeTqqYteGx58
https://goo.gl/photos/kQMxQCtbCqsL2Wj88

Both are in the Euclidean/Torus section of MagicTile.

www.gravitation3d.com/magictile

Enjoy!
Roice

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