The chord-length probability density of the regular octahedron

2014/01/30 by Salvino Ciccariello, Ciccariello, Salvino
Mathematics · Physics and Astronomy · #53C80 #60D05 #FOS: Physical sciences #Mathematical Physics (math-ph) #chord-length probability density #math-ph #math.MP #msc:53C80 #msc:60D05 #regular octahedron

paper · pdf · doi:10.48550/arxiv.1401.7950

24 pages, 9 figures

arxiv created 2014/02/08 · arxiv updated 2014/02/11

Abstract

The chord length probability density of the regular octahedron is explicitly evaluated throughout its full range of distances by separating it into three contributions respectively due to the pairs of facets opposite to each other or sharing an edge or a vertex.

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