
arXiv: math/0505488
We prove that there are thirteen Archimedean/semiregular polyhedra by using Euler's polyhedral formula.
15 pages
Mathematics - History and Overview, History and Overview (math.HO), Geometric Topology (math.GT), Euler's formula, Kepler's prisms and antiprisms, semiregular polyhedra, Mathematics - Geometric Topology, Special polytopes (linear programming, centrally symmetric, etc.), Polyhedra and polytopes; regular figures, division of spaces, 51M20, 05C30, FOS: Mathematics, Archimedean solids, Symmetry properties of polytopes, Platonic solid
Mathematics - History and Overview, History and Overview (math.HO), Geometric Topology (math.GT), Euler's formula, Kepler's prisms and antiprisms, semiregular polyhedra, Mathematics - Geometric Topology, Special polytopes (linear programming, centrally symmetric, etc.), Polyhedra and polytopes; regular figures, division of spaces, 51M20, 05C30, FOS: Mathematics, Archimedean solids, Symmetry properties of polytopes, Platonic solid
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