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JOURNALS // Modelirovanie i Analiz Informatsionnykh Sistem // Archive

Model. Anal. Inform. Sist., 2012 Volume 19, Number 6, Pages 127–136 (Mi mais277)

This article is cited in 1 paper

Continuous Flattening of a Regular Tetrahedron with Explicit Mappings

Jin-ichi Itoha, Chie Narab

a Kumamoto University
b Tokai University

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 $\mathbb{R}^3$ for a regular tetrahedron.
The article is published in the author's wording.

Keywords: Continuous Flattening, Regular Tetrahedra, Polyhedra, Paper Folding.

UDC: 514.772.35

Received: 15.09.2012

Language: English



© Steklov Math. Inst. of RAS, 2024