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Is this solid possible?by Kepler_
Tags: solid 
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#1
Apr1014, 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.



#2
Apr1014, 09:35 PM

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P: 7,284

Yes, a torus. See http://en.wikipedia.org/wiki/Euler_characteristic for a way to explore this type of question.



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