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2007 Observations from the 8-Tetrahedron Nonorientable Census
Benjamin A. Burton
Experiment. Math. 16(2): 129-144 (2007).

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.

Citation

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Benjamin A. Burton. "Observations from the 8-Tetrahedron Nonorientable Census." Experiment. Math. 16 (2) 129 - 144, 2007.

Information

Published: 2007
First available in Project Euclid: 7 March 2008

zbMATH: 1160.57020
MathSciNet: MR2339281

Subjects:
Primary: 57Q15
Secondary: 57-04 , 57N10

Keywords: census , Complexity , layering , Minimal triangulation

Rights: Copyright © 2007 A K Peters, Ltd.

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