On an Equivalence of Simplicial Polytopes

Ashish Kumar Upadhyay · 2009

We show that a simplicial isomorphism of boundary polyhedra of simplicial polytopes extends to an equivalence of polytopes. Using this result we present another proof of the well known result that there are exactly five platonic solids. Mathematics Subject Classification: Primary 57Q15, 52B70; Secondary 57N05

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