Continuous flattening of the 2-skeletons in regular simplexes and cross-polytopes

We previously showed one can continuously flatten the surface of a regular tetrahedron onto any of its faces without stretching and cutting. This is accomplished by moving creases to change the shapes of some faces successively, following Sabitov’s volume preserving theorem. We extend this result to...

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Veröffentlicht in:	Journal of geometry 2019-12, Vol.110 (3), p.1-12, Article 47
Hauptverfasser:	Itoh, Jin-ichi, Nara, Chie
Format:	Artikel
Sprache:	eng
Schlagworte:	Geometry Mathematics Mathematics and Statistics Polytopes Tetrahedra
Online-Zugang:	Volltext
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