1998/12/18 by John H. Conway, Charles Radin, Conway, John H. +3 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #05B45 #52B60 (Primary) 52C20 #82B0 (Secondary) #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematics and Applications #Metric Geometry (math.MG) #Number Theory (math.NT) #math-ph #math.MG #math.MP #math.NT #msc:05B45 #msc:52B60 #msc:52C20 #msc:82B0
paper · pdf · doi:10.48550/arxiv.math-ph/9812019
Plain TeX. 16 pages including two embedded postscript figures
arxiv created 1998/12/18 · openalex publication_date 1998/12/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the rational linear relations between real numbers whose squared trigonometric functions have rational values, angles we call ``geodetic''. We construct a convenient basis for the vector space over Q generated by these angles. Geodetic angles and rational linear combinations of geodetic angles appear naturally in Euclidean geometry; for illustration we apply our results to equidecomposability of polyhedra.