Equivelar and d-Covered Triangulations of Surfaces. II. Cyclic Triangulations and Tessellations

Details Equivelar and d-Covered Triangulations of Surfaces. II. Cyclic Triangulations and Tessellations Equivelar and d-Covered Triangulations of Surfaces. II. Cyclic Triangulations and Tessellations

2010-01-15

arxiv.org/abs/1001.2779v1

Mathematics

Combinatorics

27 pages, 18 figures

Scientific paper

With the $[0,1,2]$-family of cyclic triangulations we introduce a rich class of vertex-transitive triangulations of surfaces. In particular, there are infinite series of cyclic $q$-equivelar triangulations of orientable and non-orientable surfaces for every $q=3k$, $k\geq 2$, and every $q=3k+1$, $k\geq 3$. Series of cyclic tessellations of surfaces are derived from these triangulated series.

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