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| 摘要: |
| 本文研究了棱形六面体经两两面面叠合后所能得到几何体. 利用流形判别和基本群计算的基本方法, 获得了在可能叠合到的476 种几何体中, 有409 种不是流形, 而在是流形的情形时, 其基本群包括1,Z,Z2,Z3,Z5,Z7,Z8 以及5 种只能用关系表示的群. |
| 关键词: 三维流形 基本群 棱形六面体叠合 |
| DOI： |
| 分类号:O189.21 |
| 基金项目:安徽省高校自然科学研究基金(KJ2013A236);淮北师范大学基金资助(800665). |
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| THE IDENTIFICATION OF HEXAHEDRON BY SIDES AND SIDES |
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WANG Jian-jun
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| Abstract: |
| In this paper, we study the bodies which obtained from the hexahedron by sides and sides in detail. By using the methods of manifold's judgement and fundamental group's calcu-lation, after amount of computation, we can obtain 476 bodies, but 409 of them are not manifold. And when they are manifold, their fundamental groups will include 1,Z,Z2,Z3,Z5,Z7,Z8 and 5 cases which only be indicated by relationship. |
| Key words: 3-manifold fundamental group the identification of hexahedron |
