yep, Bryan, you're right. I didn't look closely enough at the {4,5} pic.
On Tue, Jun 2, 2009 at 12:02 PM, Bryan Stout
<stoutwb@xxxxxxxxx> wrote:
It doesn't look topologically the same to me. {4,N} means there are N quadrilaterals meeting at every vertex -- in the original link it shows {4,5}, 5 squares at every vertex. The image you show is actually {4,4} everywhere (just like a chessboard), except the center, which is occupied by a pentagon. Since it has 2 sizes of polygons, it can't map onto the regular tesselations of the original post.
It looks like it would make a good game board, though.
Regards,
Bryan
One can get a board that is topologically the same as a "{4,N} with 0 truncation" using polar coordinates rather than hyperbolic geometry.
David, I find your comment offensive.
> Ideas for games sounds cool... but could the math-gibberish go to Geek, plz?
not to mention ignorant, since there is no forum on the Geek for this type of discussion.
David