Rigidity of the Hexagonal Delaunay Triangulated Plane

Song Dai; Huabin Ge; Shiguang Ma

doi:10.1007/s42543-021-00036-8

Peking Mathematical Journal ›› 2021, Vol. 5 ›› Issue (1) : 1 -20. DOI: 10.1007/s42543-021-00036-8

Original Article

Rigidity of the Hexagonal Delaunay Triangulated Plane

Song Dai ¹
, Huabin Ge ²
, Shiguang Ma ³^,^c

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Abstract

We show the rigidity of the hexagonal Delaunay triangulated plane under Luo’s PL conformality. As a consequence, we obtain a rigidity theorem for a particular type of locally finite convex ideal hyperbolic polyhedra.

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Song Dai, Huabin Ge, Shiguang Ma. Rigidity of the Hexagonal Delaunay Triangulated Plane. Peking Mathematical Journal, 2021, 5(1): 1-20 DOI:10.1007/s42543-021-00036-8