Basic geometric proof of the relation between dimensionality of a regular simplex and its dihedral angle

2013/04/03 by Raffaele Salvia, Salvia, Raffaele
Engineering · Business, Management and Accounting · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Optics and Image Analysis #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1304.0967

Abstract

The formula for the dihedral angle of the simplex of n dimensions, arccos(1/n), is derived using classical geometry.

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