Delaunay triangulation and triangulation of tori

DOI10.1007/s10711-009-9374-1zbMath1187.57023OpenAlexW2008750240MaRDI QIDQ845787

Alain Grigis

Publication date: 29 January 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-009-9374-1

zbMATH Keywords

Voronoi cellbilliardlattice triangulationinvariant triangulation

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Triangulating manifolds (57Q15) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items

Periodic triangulations of \(\mathbb{Z}^{n}\) ⋮ Lattice triangulations of \(\mathbb{E}^3 \) and of the 3-torus ⋮ Smallest polyhedral tilings of 3-tori by parallelohedra

Cites Work

• Tiling the torus and other space forms
• The rhombidodecahedral tessellation of 3-space and a particular 15-vertex triangulation of the 3-dimensional torus
• Combinatorial d-tori with a large symmetry group
• Triangulation of the 4-dimensional torus
• Separating maps of the lattice \(E_8\) and triangulations of the eight-dimensional torus
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