IJPAM: Volume 79, No. 2 (2012)


Yutaka Nishiyama
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa Osaka, 533-8533, JAPAN

Abstract. This article explains the truncated icosahedron by making a sepak takraw ball, which is used in a popular ball game in Thailand. Next, many popular topics for examination questions on spatial diagrams are presented such as: how many regular polyhedra can be made, Euler's polyhedron formula, $F-E+V=2$, and the number of regular pentagons and hexagons in a soccer ball.

Received: April 4, 2012

AMS Subject Classification: 51M05, 00A09, 97A20

Key Words and Phrases: truncated icosahedron, regular polyhedra, Euler's polyhedron formula, fullerene $C_{60}$

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 79
Issue: 2