Octonion multiplication and Heawood's map

2011/06/29 by Bruno Sévennec, Sévennec, Bruno
Mathematics · #05C10 #05C25 #17A35 #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA) #math.CO #math.RA #msc:05C10 #msc:05C25 #msc:17A35

paper · pdf · doi:10.48550/arxiv.1106.6015

6 pages, 5 figures

arxiv created 2011/06/29 · arxiv updated 2011/06/30

Abstract

In this note, the octonion multiplication table is recovered from a regular tesselation of the "equilateral" two dimensional torus by seven hexagons, also known as Heawood's map.

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