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arXiv · 1009.2640

Supplemental material to the article "Partitions of the triangles of the cross polytope into surfaces''

Jonathan Spreer
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Abstract

We present a constructive proof, that there exists a decomposition of the 2-skeleton of the k-dimensional cross polytope β^k into closed surfaces of genus \leq 1, each with a transitive automorphism group given by the vertex transitive Z_{2k}-action on β^k. Furthermore we show, that for each k \equiv 1,5(6) the 2-skeleton of the (k-1)-simplex is a union of highly symmetric tori and Möbius strips.

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Jonathan Spreer. 2010-09-14. Supplemental material to the article "Partitions of the triangles of the cross polytope into surfaces''. https://arxiv.org/abs/1009.2640

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