%0 Journal Article %T 棱形六面体的两两面叠合<br>THE IDENTIFICATION OF HEXAHEDRON BY SIDES AND SIDES %A 作者 %A 王建军 %J 数学杂志 %D 2015 %X 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.<br>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 %K 三维流形 基本群 棱形六面体叠合< %K br> %K 3-manifold fundamental group the identification of hexahedron %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150617&flag=1