Developments of Polyhedra Using Oblique Coordinates

Developments of Polyhedra Using Oblique Coordinates
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使用斜坐标的多面体的发展

DOI:
10.22342/jims.13.1.77.99-114
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发表时间:
2007
影响因子:
0.3
通讯作者:
C. Nara
C. Nara
中科院分区:
--
文献类型:
--
作者:
J. Akiyama;C. Nara

文献摘要

被引文献

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本文是对秋山等人在《正四面体的凸展开》一文中的结果的一个阐述。[1]。我们把文中遗漏的细节补上.我们确定了所有的凸发展的正四面体V使用平铺V产生的,我们得到的条件,凸多边形是凸发展的V。此外,我们确定所有凸多面体的凸发展可以确定的方法用于V。
This paper is an exposition of the results in the paper entitled "Convex Development of a Regular Tetrahedron" by J. Akiyama, et. al. [1]. We fill in the detail which have been omitted in the paper. We determine all convex developments of a regular tetrahedron V using a tiling generated by V and we arrive at conditions for convex polygons to be convex develpments of V . Moreover, we identify all convex polyhedra whose convex developments can be determined by the method used for V .