Observations from the 8-tetrahedron nonorientable census

Burton, Benjamin A. (2007) Observations from the 8-tetrahedron nonorientable census. Experimental Mathematics, 16 2: 129-144. doi:10.1080/10586458.2007.10128994


Author Burton, Benjamin A.
Title Observations from the 8-tetrahedron nonorientable census
Journal name Experimental Mathematics   Check publisher's open access policy
ISSN 1058-6458
Publication date 2007-01-01
Sub-type Article (original research)
DOI 10.1080/10586458.2007.10128994
Volume 16
Issue 2
Start page 129
End page 144
Total pages 16
Place of publication Boston, U.S.
Publisher Jones and Bartlett Publishers
Language eng
Subject 01 Mathematical Sciences
0103 Numerical and Computational Mathematics
Abstract Through computer enumeration with the aid of topological results, we catalogue all 18 closed nonorientable $\ppirr$ 3-manifolds that can be formed from eight or fewer tetrahedra. In addition, we give an overview as to how the 100 resulting minimal triangulations are constructed. Observations and conjectures are drawn from the census data, and future potential for the nonorientable census is discussed. Some preliminary 9-tetrahedron results are also included.
Keyword Minimal triangulation
Census
Complexity
Layering
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Mathematics and Physics
 
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Created: Sat, 19 Dec 2009, 00:14:26 EST by Ms May Balasaize on behalf of Faculty of Science