Polyhedra with simple dense geodesics

2017/04/17 by Itoh, Jin-Ichi, Rouyer, Joël, Vîlcu, Costin
#FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1704.05011

Abstract

We determine (non-necessarily convex) polyhedra having simple dense geodesics.

Related

• Simple closed geodesics on regular spherical polyhedra
• Closed simple geodesics on a polyhedron
• Simple closed geodesics on regular tetrahedra in spaces of constant curvature
• Geometries of convex and finite sets of geodesic spaces
• Close geodesics on regular tetrahedra in hyperbolic space