The Derivation of Schoenberg’s Star-Polytopes from Schoute’s Simplex Nets

H. S. M. Coxeter
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H. S. M. Coxeter: University of Toronto, Department of Mathematics

A chapter in The Geometric Vein, 1981, pp 149-164 from Springer

Abstract: Abstract On a square billiard table with corners (± 1, ± 1), the path of a ball is easily seen to be periodic if and only if it begins with a line $$ Xx + Yy = N, $$ where X and Y are integers and |N|

Keywords: Billiard Ball; Finite Complex; Residue Modulo; Billiard Table; Graphical Symbol (search for similar items in EconPapers)
Date: 1981
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DOI: 10.1007/978-1-4612-5648-9_9

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