Minimum Perimeter Developments of the Platonic Solids

A development of a convex polyhedron is a connected plane figure obtained by cutting the surface of the polyhedron and unfolding it. In this paper, we determine the length and configuration of a minimum perimeter development for each of the Platonic solids. We show that such developments are obtaine...

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Bibliographic Details
Main Authors: Akiyama, Jin, Chen, Xin, Nakamura, Gisaku, Ruiz, Mari-Jo P
Format: text
Published: Archīum Ateneo 2011
Subjects:
Online Access:https://archium.ateneo.edu/mathematics-faculty-pubs/80
http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/70
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Institution: Ateneo De Manila University