Convex Pentagons for Edge-to-Edge Tiling, III

被引:0
|
作者
Sugimoto, Teruhisa [1 ]
机构
[1] Interdisciplinary Inst Sci Technol & Art, Suzukidaini Bldg 211,2-5-28 Kitahara, Asaka, Saitama 3510036, Japan
关键词
Convex pentagon; Tiling; Tile; Monohedral tiling; Edge-to-edge tiling; PLANE;
D O I
10.1007/s00373-015-1599-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In previous papers, the cases in which there is a possibility that a convex pentagon generates an edge-to-edge tiling were sorted, and the remaining 42 cases in which there is uncertainty about whether a convex pentagon can generate an edge-to-edge tiling were shown. In this paper, the latter 42 cases are investigated using a computer. As a result, we find that convex pentagons that can generate edge-to-edge monohedral tiling of the plane can be sorted into eight types.
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页码:785 / 799
页数:15
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