Continuous Flattening of a Regular Tetrahedron with Explicit Mappings

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.

Keywords

• непрерывное складывание
• правильные тетраэдры
• многогранники
• складывание бумаги