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Filling a hyperbolic polygon

asked 2020-11-20 10:03:05 -0600

John L gravatar image

I am trying to draw some hyperbolic polygons in the Poincare disk model.

poincaredisc = HyperbolicPlane().PD()
lines = [ poincaredisc.get_geodesic(1,I), poincaredisc.get_geodesic(I,-1), poincaredisc.get_geodesic(1,-1) ]
plots = [ plot(line,axes=False) for line in lines ]
show(sum(plots))

I'd like to fill it in with a solid color. This isn't documented in HyperbolicPlane as far as I can tell. But maybe there is some general-purpose way to do this with these kind of graphics objects. Any ideas?

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There is hyperbolic_polygon, but alas only for the upper half-space, I think..

FrédéricC gravatar imageFrédéricC ( 2020-11-20 11:10:46 -0600 )edit

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answered 2020-11-20 17:53:41 -0600

slelievre gravatar image

Progress on adapting hyperbolic polygons to other models is tracked at:

The code available in the commits posted there might cover your needs.

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Asked: 2020-11-20 10:03:05 -0600

Seen: 64 times

Last updated: Nov 20