J. Akiyama
The Research Institute of the Educational Development, Tokai University, 2-28-4 Tomi- gaya, Shibuya, Tokyo 151-8677, Japan.

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DEVELOPMENTS OF POLYHEDRA USING OBLIQUE COORDINATES Akiyama, J.; Nara, C.
Journal of the Indonesian Mathematical Society Volume 13 Number 1 (April 2007)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.13.1.77.99-114

Abstract

This paper is an exposition of the results in the paper entitled "Convex Development of a Regular Tetrahedron" by J. Akiyama, et. al. [1]. We fill in the detail which have been omitted in the paper. We determine all convex developments of a regular tetrahedron V using a tiling generated by V and we arrive at conditions for convex polygons to be convex develpments of V . Moreover, we identify all convex polyhedra whose convex developments can be determined by the method used for V .