Nonorientable 3-manifolds admitting coloured triangulations with at most 30 tetrahedra

preprint2007arXivOpen access

Abstract

We present the census of all non-orientable, closed, connected 3-manifolds admitting a rigid crystallization with at most 30 vertices. In order to obtain the above result, we generate, manipulate and compare, by suitable computer procedures, all rigid non-bipartite crystallizations up to 30 vertices.

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