NONREGULAR TRIANGULATIONS OF PRODUCTS OF SIMPLICES

Authors
DELOERA JA
Citation
Ja. Deloera, NONREGULAR TRIANGULATIONS OF PRODUCTS OF SIMPLICES, Discrete & computational geometry, 15(3), 1996, pp. 253-264
Citations number
16
Categorie Soggetti
Computer Sciences, Special Topics","Mathematics, General","Computer Science Theory & Methods",Mathematics
Journal title
Discrete & computational geometry → ACNP
ISSN journal
01795376
Volume
15
Issue
3
Year of publication
1996
Pages
253 - 264
Database
ISI
SICI code
0179-5376(1996)15:3<253:NTOPOS>2.0.ZU;2-O
Abstract
We exhibit a nonregular triangulation for the product of two tetrahedr a. This answers a question by Gel'fand, Kapranov, and Zelevinsky. We a lso give a complete classification of the symmetry classes of regular triangulations of Delta(2) x Delta(3). Our nonregular triangulation of Delta(3) x Delta 3 can be extended to a nonregular triangulation of t he six-dimensional cube. The four-dimensional cube is the smallest cub e with a nonregular triangulation.