On Angles Whose Squared Trigonometric Functions are Rational

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dc.creatorConway, John H.
dc.creatorRadin, Charles
dc.creatorSadun, Lorenzo
dc.date1998-12-18
dc.date.accessioned2026-07-07T04:32:38Z
dc.date.available2026-07-07T04:32:38Z
dc.descriptionWe 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.
dc.descriptionPlain TeX. 16 pages including two embedded postscript figures
dc.identifierhttps://arxiv.org/abs/math-ph/9812019
dc.identifierhttp://arxiv.org/abs/math-ph/9812019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58260
dc.subjectMathematical Physics
dc.subjectMetric Geometry
dc.subjectNumber Theory
dc.subject52B60 (Primary) 52C20, 05B45, 82B0 (Secondary)
dc.titleOn Angles Whose Squared Trigonometric Functions are Rational
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