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asked 12 years ago

DrNick gravatar image

Translating a polygon into a fundamental domain

Hello.

I have a polygon (defined, say, via polygon()) that I'm thinking of as filled in with some color. I'd like to understand its image on the quotient of R2 mod Z2 by seeing this image in a fundamental domain like the unit square with corners (0,0), (1,0), (0,1), (1,1).

Put differently, I want to translate (by a lattice point) each point in and on the polygon into this square and see what the result looks like.

Is there a reasonable way to do this in SAGE?