# Message #3004

From: mananself@gmail.com

Subject: Re: New puzzle: Lights Out 3D

Date: Sun, 25 May 2014 01:04:45 -0700

Only recently I knew about the shapes: chamfered cube, chamfered dodecahedron, etc.

https://en.wikipedia.org/wiki/Chamfered_cube https://en.wikipedia.org/wiki/Chamfered_cube

https://en.wikipedia.org/wiki/Chamfered_dodecahedron https://en.wikipedia.org/wiki/Chamfered_dodecahedron

They look pretty nice. If you haven’t heard of them, you should check it out. As wikipedia says, they can be easily confused as the truncated octahedron and the truncated icosahedron. So I added them to lights out 3D.

The chamfered tetrahedron, octahedron and icosahedron also exist, but don’t look that nice.

I also added a "volley cube" which is topologically a volleyball but in a cubic shape. The connection is that topologically speaking the seams of volleyball is identical to the chamfered cube.

Nan