Unified derivation of Penner, Ptolemy, and Casey theorems (with converses) in multi-dimensional hyperbolic space from a single Gram-matrix calculation on lightlike, timelike, and spacelike vectors, including a new planar version of Casey's theorem.
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A unified approach to Penner, Ptolemy, and Casey's theorems in several dimensions
Unified derivation of Penner, Ptolemy, and Casey theorems (with converses) in multi-dimensional hyperbolic space from a single Gram-matrix calculation on lightlike, timelike, and spacelike vectors, including a new planar version of Casey's theorem.