Continuous Flattening of a Regular Tetrahedron with Explicit Mappings
https://doi.org/10.18255/1818-1015-2012-6-127-136
Abstract
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 published in the author’s wording.
Supporting agencies: Grand-in-Aid for Scientific Research (No.23540098), JSPS; Grand-in-Aid for Scientific Research (No.23540160), JSPS
About the Authors
Jin-ichi Itoh
Kumamoto University
Japan
профессор факультета образования
Japan
профессор факультета образования
Chie Nara
Tokai University
Japan
профессор Образовательного центра свободных искусств
Japan
профессор Образовательного центра свободных искусств
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Review
For citations:
Itoh J., Nara Ch. Continuous Flattening of a Regular Tetrahedron with Explicit Mappings. Modeling and Analysis of Information Systems. 2012;19(6):127-136. https://doi.org/10.18255/1818-1015-2012-6-127-136
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