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.
Non-orientable 3-manifolds admitting colored triangulations with at most 30 tetrahedra / Bandieri, Paola; Cristofori, Paola; Gagliardi, Carlo. - In: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. - ISSN 0218-2165. - STAMPA. - 18:3(2009), pp. 381-395. [10.1142/S0218216509006975]
Non-orientable 3-manifolds admitting colored triangulations with at most 30 tetrahedra.
BANDIERI, Paola;CRISTOFORI, Paola;GAGLIARDI, Carlo
2009
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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