Journal of Graph Algorithms and Applications Common Unfolding of Regular Tetrahedron and Johnson-zalgaller Solid
Journal of Graph Algorithms and Applications Common Unfolding of Regular Tetrahedron and Johnson-zalgaller Solid
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图算法与应用杂志正四面体和 Johnson-zalgaller 实体的共同展开
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通讯作者：
E. Tomita
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作者：
Y. Araki;T. Horiyama;Ryuhei Uehara;M. S. Rahman;E. Tomita
在本文中，我们研究了正四面体和Johnson-Zalgaller固体之间的共同展开。更准确地说，我们研究了折叠成正四面体的Johnson-Zalgaller固体的所有边发展集。我们表明，在92个Johnson-Zalgaller固体中，只有J17（陀螺细长方形双棱锥）和J84（凸二苯体）具有一些折叠成正四面体的边缘发展，其余的Johnson-Zalgaller固体没有任何这样的边缘发展。
In this paper, we investigate the common unfolding between regular tetrahedra and Johnson-Zalgaller solids. More precisely, we investigate the sets of all edge developments of Johnson-Zalgaller solids that fold into regular tetrahedra. We show that, among 92 Johnson-Zalgaller solids, only J17 (gyroelongated square dipyramid) and J84 (snub disphenoid) have some edge developments that fold into a regular tetrahedron, and the remaining Johnson-Zalgaller solids do not have any such edge development .