Presenting methods for unraveling the first two regular 4D polytopes (4D simplex and the hypercube)

A. A. Ramírez, R. Aguila
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引用次数: 3

Abstract

This article presents methods for unraveling the hypercube and the 4D simplex and obtaining the unravelings that corresponds to the hyper-flattening of their boundaries. These regular polytopes can be raveled back using the methods in an inverse way. The transformations to apply include rotations around a plane (characteristic of the 4D space). All these processes can be viewed using a computer animation system.
给出了前两个正则四维多面体(四维单纯形和超立方体)的展开方法。
本文给出了超立方体和四维单纯形的展开方法,并得到了它们边界的超平坦化所对应的展开。这些规则多面体可以用相反的方法折回。要应用的变换包括围绕平面的旋转(4D空间的特征)。所有这些过程都可以用计算机动画系统来观察。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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