Common Unfolding of Regular Tetrahedron and Johnson-Zalgaller Solid

Authors

  • Yoshiaki Araki
  • Takashi Horiyama
  • Ryuhei Uehara

DOI:

https://doi.org/10.7155/jgaa.00386

Abstract

In this paper, we investigate the common unfolding between regular tetrahedra and Johnson-Zalgaller solids. More precisely, we investigate the sets of all edge developments of Johnson-Zalgaller solids that fold into regular tetrahedra. We show that, among 92 Johnson-Zalgaller solids, only J17 (gyroelongated square dipyramid) and J84 (snub disphenoid) have some edge developments that fold into a regular tetrahedron, and the remaining Johnson-Zalgaller solids do not have any such edge development.

Downloads

Download data is not yet available.

Downloads

Published

2016-02-01

How to Cite

Araki, Y., Horiyama, T., & Uehara, R. (2016). Common Unfolding of Regular Tetrahedron and Johnson-Zalgaller Solid. Journal of Graph Algorithms and Applications, 20(1), 101–114. https://doi.org/10.7155/jgaa.00386