| 棱形六面体的两两面叠合 |
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| 引用本文： | 王建军.棱形六面体的两两面叠合[J].数学杂志,2015,35(6):1438-1444. |
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| 作者姓名： | 王建军 |
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| 作者单位： | 淮北师范大学数学科学学院, 安徽 淮北 235000 |
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| 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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| 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.
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| 关 键 词： | 三维流形 基本群 棱形六面体叠合 |
| 收稿时间： | 2013/9/15 0:00:00 |
| 修稿时间： | 2014/2/12 0:00:00 |
THE IDENTIFICATION OF HEXAHEDRON BY SIDES AND SIDES |
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| WANG Jian-jun.THE IDENTIFICATION OF HEXAHEDRON BY SIDES AND SIDES[J].Journal of Mathematics,2015,35(6):1438-1444. |
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| Authors: | WANG Jian-jun |
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| Institution: | School of Mathematics Science, Huaibei Normal University, Huaibei 235000, China |
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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. |
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| Keywords: | 3-manifold fundamental group the identification of hexahedron |
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