hrvatski jezikClear Cookie - decide language by browser settings

Periodic Triangulations of Zn

Dutour Sikirić, Mathieu; Garber, Alexey (2020) Periodic Triangulations of Zn. Electronic journal of combinatorics, 27 . pp. 1-19. ISSN 1077-8926

PDF - Published Version - article
Download (345kB) | Preview


We consider in this work triangulations of Z^n that are periodic along Z^n. They generalize the triangulations obtained from Delaunay tessellations of lattices. Other important property is the regularity and central-symmetry property of triangulations. Full enumeration for dimension at most 4 is obtained. In dimension 5 several new phenomena happen: there are centrally-symmetric triangulations that are not Delaunay, there are non-regular triangulations (it could happen in dimension 4) and a given simplex has a priori an infinity of possible adjacent simplices. We found 950 periodic triangulations in dimension 5 but finiteness is unknown.

Item Type: Article
Uncontrolled Keywords: Polytope ; Triangulations ; Periodic ; Enumeration
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Division for Marine and Enviromental Research
Depositing User: Mathieu Dutour
Date Deposited: 08 Dec 2020 14:24
DOI: 10.37236/8298

Actions (login required)

View Item View Item


Downloads per month over past year

Increase Font
Decrease Font
Dyslexic Font