On the 4-dimensional hyperbolic hypercube mosaic

被引:0
|
作者
Nemeth, Laszlo [1 ]
机构
[1] Univ W Hungary, Math Inst, H-9400 Sopron, Hungary
来源
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2007年 / 70卷 / 3-4期
关键词
4-dimensional hyperbolic space; hypercube mosaic;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We construct successively belts in the 4-dimensional hyperbolic regular hypercube mosaic beginning with a vertex, then considering all elements of the mosaic adjacent to it, then all elements of the mosaic adjacent to but different from those already considered, etc. In this article we determine the limits of the ratios of the volumes of the consecutive belts for the hyperbolic mosaic {4, 3,3, 5} and its dual mosaic.
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页码:291 / 305
页数:15
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