First Sentence:
A polygon is said to be regular if it has equal sides and equal angles.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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spherical orthoscheme, basic invariant forms, central quotient group, pyritohedral group, regular skew polygon, star polytopes, skew polyhedron, uniform polytopes, pentagramma mirificum, simplicial prism, whole polytope, general cubic surface, obtuse dihedral angles, one point invariant, several polytopes, unitary reflection groups, skew polyhedra, measure polytope, nonlattice packing, tritangent planes, whose fundamental regions, regular complex polytopes, whose dihedral angles, typical vertex, spherical simplex
Key Phrases - Capitalized Phrases (CAPs):
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New York, London Math, University of Toronto, Gesammelte Mathematische Abhandlungen, Royal Soc, Duke Math, Annals of Math, Cambridge University Press, Trinity College, Nieuw Archief, Mathematische Modelle, Neue Denkschr, Proceedings of the Cambridge Philosophical Society, Southern Illinois Univ
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