文章的补充材料“将交叉多面体的三角形划分为曲面”
Supplemental material to the article "Partitions of the triangles of the cross polytope into surfaces''
摘要：
给出了一个构造性的证明，证明了k维交叉多面体β^k的2-骨架分解为亏格\leq 1的闭曲面，每个闭曲面具有一个传递自同构群，该群由β^k上的点传递Z_{2k} -作用给出.此外，我们还证明了对于每个k \equiv 1，5（6），（k-1）-单形的2-骨架是高度对称环面和默比乌斯带的并集.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
