Looney Labs Icehouse Mailing list Archive

Re: [Icehouse] Hyperbolic Planar Tesselations

  • FromDavid Molnar <theonlymolnar@xxxxxxxxx>
  • DateTue, 2 Jun 2009 11:33:10 -0400
One can get a board that is topologically the same as a "{4,N} with 0 truncation" using polar coordinates rather than hyperbolic geometry.

In Sage, this code:
show(sum(polar_plot(m/sin((5*x/4)-n*pi),(4/5)*(arctan(m/9)+n*pi),(4/5)*(pi-arctan(m/9)+n*pi),rgbcolor="black") for n in [0..4] for m in range(1,10,2)), aspect_ratio=1, axes=False)

generates this image:

Sage is based on Python, so if that means anything to you, you might be able to take that idea and run with it.


On Mon, Jun 1, 2009 at 5:32 PM, Nick Lamicela <nupanick@xxxxxxxxx> wrote:
Programming challenge: design a program that takes the number of players as N and simulates a martian chess game with a board of form {4,N} with 0 truncation, then limits movement to squares that are no more than four steps from the center point.

Extra credit: Computer AI.

Please correct me if this is not possible, but it sounds cool.

~nupanick (or other appropriate name)

Guvf VF zl jvggl fvtangher.