Continuous flattening of the 2-dimensional skeleton of a regular 24-cell
Continuous flattening of the 2-dimensional skeleton of a regular 24-cell
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常规 24 单元的二维骨架的连续扁平化
DOI：
10.1007/s00022-021-00575-6
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发表时间：
2021
影响因子：
0.6
通讯作者：
Nara Chie
中科院分区：
文献类型：
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作者：
Itoh Jin-ichi;Nara Chie
贝加尔定理说，任何具有刚性面的多面体，即使是柔性的，也不能改变其体积。Demaine等人提出的具有非刚性面的多面体的连续展平问题通过使用移动折痕来改变某些面的概念来解决所有凸多面体的问题。将该问题推广到高维多面体的二维骨架的连续展平问题。除了24胞腔、120胞腔和600胞腔这三种类型外，所有规则多面体都解决了这个问题。本文讨论了24-cell，并给出了它的2-skeleton的连续展平运动，这与Bucker-Fuller的Jitterbug有关。
Bellow theorem says that any polyhedron with rigid faces cannot change its volume even if it is flexible. The problem on continuous flattenig of polyhedra with non-rigid faces proposed by Demaine et al. was solved for all convex polyhedra by using the notion of moving creases to change some of the faces. This problem was extended to a problem on continuous flattening of the 2-dimensional skeleton of higher dimensional polytopes. This problem was solved for all regular polytopes except three types, the 24-cell, the 120-cell, and the 600-cell. This article addresses the 24-cell and gives a continuous flattening motion for its 2-skeleton, which is related to the Jitterbug by Buckminster Fuller.
DOI：
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发表时间：
2015
期刊：
Computational geometry (SoCG'14)
影响因子：
--
作者：
Abel;Zachary; Demaine;Erik D.; Itoh;Jin-ichi; Lubiw;Anna; Nara;Chie; O'Rourke;Joseph
通讯作者：
Joseph
超立方体中方面二维骨架的连续展平
影响因子：
0.7
作者：
Itoh Jin-ichi;Nara Chie
通讯作者：
Nara Chie
分段线性二流形的折纸嵌入
影响因子：
1.1
作者：
M. Bern;Barry Hayes
通讯作者：
Barry Hayes