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Observations from the 8-tetrahedron nonorientable census

journal contribution
posted on 2024-11-01, 04:34 authored by Ben Burton
Through computer enumeration with the aid of topological results, we catalogue all 18 closed nonorientable P2-irreducible 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.

History

Journal

Experimental Mathematics

Volume

16

Issue

2

Start page

129

End page

144

Total pages

16

Publisher

AK Peters

Place published

Wellesley, MA

Language

English

Former Identifier

2006006378

Esploro creation date

2020-06-22

Fedora creation date

2010-12-23

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