棱形六面体的两两面叠合

THE IDENTIFICATION OF HEXAHEDRON BY SIDES AND SIDES

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.

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 calculation,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 5cases which only be indicated by relationship.