New York Journal of Mathematics
Volume 23 (2017) 1363-1367


Matthias Goerner

Geodesic triangulations exist for cusped Platonic manifolds

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Published: October 10, 2017
Keywords: Hyperbolic 3-manifold, ideal triangulation, Platonic solid.
Subject: 57N10, 51M10; 20H10, 22E40

We show that if a cusped hyperbolic manifold is Platonic, i.e., can be decomposed into isometric Platonic solids, it can also be decomposed into geodesic ideal tetrahedra.

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