On Angles Whose Squared Trigonometric Functions Are Rational
- Cite this article as:
- Conway, J., Radin, C. & Sadun, L. Discrete Comput Geom (1999) 22: 321. doi:10.1007/PL00009463
- 69 Views
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.