November 27, 2007

Hyperbolic Cover

I'm on the cover of Science News. Or rather, my graphics is there. I did an illustration for the article Shadow World: Science News Online, Nov. 17, 2007 showing a sphere on the Poincare disc with a hyperbolic tessellation.

It is fun to play with hyperbolic tessellations. I recommend Dmitry Brant's program for interactive play. I wonder if one could make an interesting tic-tac-toe game for such a surface? For the 5,4 tiling there are extra diagonals that may make it harder to block the other player.

As for string-particle duality I have no clue. I love duality relationships in mathematics and physics, but I do not understand even string theory so I don't know how to handle the theory described in the article (is that tic-tac-TOE?). However, it seems one could at least make an interesting dual generalisation of tic-tac-toe played on a tessellation by looking at the corresponding game played on the dual tessellation. Instead of putting markers on the polygons, one puts markers on the corners. This is the same for a square tiling in Euclidean space, but in hyperbolic space some fun possibilities may open up.

Posted by Anders3 at November 27, 2007 02:49 PM