Continuous Flattening of the 2-Dimensional Skeleton of the Square Faces in a Hypercube
Continuous Flattening of the 2-Dimensional Skeleton of the Square Faces in a Hypercube
复制标题
超立方体中方面二维骨架的连续展平
DOI：
10.1007/s00373-019-02100-8
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发表时间：
2020
影响因子：
0.7
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
一个三维立方体的表面可以连续地展平到它的任何一个面上，通过移动折痕来连续地改变一些面的形状，遵循Sabitov的体积保持定理。设为n维立方体，S为其2维面的集合，即，正方形的二维骨架朝内。我们表明，扫描被连续压平到任何面FofS，这样的面S是平行于F，没有任何折痕，也就是说，他们是刚性的运动过程中。
The surface of a 3-dimensional cube can be continuously flattened onto any of its faces, by moving creases to change the shapes of some faces successively, following Sabitov’s volume preserving theorem. Letbe ann-dimensional cube with, andSbe the set of its 2-dimensional faces, i.e., the 2-dimensional skeleton of the square faces in. We show thatScan be continuously flattened onto any faceFofS, such that the faces ofSthat are parallel toF, do not have any crease, that is, they are rigid during the motion.
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