> 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:
>
http://www.boardgamegeek.com/image/470745
>
> Sage is based on Python, so if that means anything to you, you might be able
> to take that idea and run with it.
>
> David
>
> 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.
>>
>>
>
>