Tile-makers and semi-tile-makers
Tile-makers and semi-tile-makers
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DOI：
10.1080/00029890.2007.11920450
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发表时间：
2007-08-01
影响因子：
0.5
通讯作者：
Akiyama, Jin
中科院分区：
文献类型：
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作者：
Akiyama, Jin
1.引言。凸多面体的展开是通过对多面体的曲面进行切割而得到的平面图。切割不需要局限于边缘，也可以通过面进行(图1.1)。因此，凸多面体有无限多的发展。文献[1]和[4]表明，利用镶嵌可以系统地得到正四面体的无穷多个凸展开式。关于正方形二面体的类似结果见于[2]，对于凸多边形的平坦2-折叠的结果见于文献[2]
1. INTRODUCTION. A development of a convex polyhedron is a plane figure obtained by cutting the surface of the polyhedron. Cuts need not be confined to edges but can also be made through faces (Figure 1.1). Hence a convex polyhedron has infinitely many developments. It is shown in [1] and [4] that we can systematically get infinitely many convex developments of a regular tetrahedron using tilings. Similar results for a square dihedron are found in [2] and results for flat 2-foldings of convex polygons in