Geometry:what is the opposite of a sphere?& what shape maximises surface area/volume?
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02-17-2019, 08:21 PM
Post: #17
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RE: Geometry:what is the opposite of a sphere?& what shape maximises surface area/...
(02-17-2019 05:10 PM)StephenG1CMZ Wrote: Right now I'm no longer certain that a sphere could have an infinite number of faces, or whether the maximum number of faces has any relevance to spheres. But I am sure someone here can explain. One thing you can be sure of is that it will satisfy the Euler characteristic for a polyhedron: F + V = E + 2. For tessellating a sphere, the simplest case is one face and one vertex, but no edges. — Ian Abbott |
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