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Is this solid possible?

by Kepler_
Tags: solid
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Kepler_
#1
Apr10-14, 08:58 PM
P: 4
Is it possible to create a solid whose sides are all quadrilaterals, and whose vertices are all bringing together four edges? I've been playing around in autocad and haven't been able to come up with a way to do this. I'm trying to make a checkerboard type of solid where no touching faces have the same color.
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AlephZero
#2
Apr10-14, 09:35 PM
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P: 6,932
Yes, a torus. See http://en.wikipedia.org/wiki/Euler_characteristic for a way to explore this type of question.


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