Continuous Flattening of a Regular Tetrahedron with Explicit Mappings

We proved in [10] that each Platonic polyhedron P can be folded into a flat multilayered face of P by a continuous folding process of polyhedra. In this paper, we give explicit formulas of continuous functions for such a continuous flattening process in R³ for a regular tetrahedron.The article is pu...

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Bibliographic Details
Main Authors: Jin-ichi Itoh, Chie Nara
Format: Article
Language:English
Published: Yaroslavl State University 2015-03-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/147