Observations from the 8-tetrahedron nonorientable census
journal contribution
posted on 2024-11-01, 04:34authored byBen 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.