ON THE SYMMETRY CLASSIFICATION OF THE 4-DIMENSIONAL PARALLELOHEDRA

被引：7
作者：
ENGEL, P
机构：
[1] Laboratory of Crystallography, University of Berne, CH-3012 Berne
来源：
ZEITSCHRIFT FUR KRISTALLOGRAPHIE | 1992年 / 200卷 / 3-4期
关键词：
4-DIMENSIONAL PARALLELOHEDRA; DIRICHLET-PARALLELOHEDRON;
D O I：
10.1524/zkri.1992.200.3-4.199
中图分类号：
O7 [晶体学];
学科分类号：
0702 ; 070205 ; 0703 ; 080501 ;
摘要：
A complete description of the 52 combinatorial types of parallelohedra in Euclidean space E4 is presented, and for each type a realization through a Dirichlet parallelohedron having maximal symmetry is given. The cone of four-dimensional positive-definite quadratic forms is subdivided into existence fields of symmetry types of parallelohedra. Complete results are given for metric tensors with one, two, and three free parameters.
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页码：199 / 213
页数：15
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