高维正多面体的二骨架结构

Mathematical Journal of Ibaraki University Pub Date : 2018-01-01 DOI:10.5036/MJIU.50.27

Fumiko Ohtsuka

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引用次数: 2

摘要

在我们的论文[2]中，我们分类了简单规则多面体bp -配合物，它是顶点结构满足一定自然条件的多面体配合物。作为这一分类的补充，我们证明了高维正多面体的2骨架是简单的正多面体配合物，而不是多面体bp配合物。这个证明是通过对它们的顶点结构的详细研究来完成的。

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Structure of 2-skeletons of higher dimensional regular polytopes

In our paper [2], we have classiﬁed simple regular polyhedral BP-complexes, which are polyhedral complexes satisfying certain natural conditions on their vertex structures. As an addendum of this classiﬁcation, we prove that 2-skeletons of higher dimensional regular polytopes are simple regular polyhedral complexes, but not polyhedral BP-complexes. The proof is done by a detailed investigation of their vertex structures.

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Mathematical Journal of Ibaraki University

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