IJPAM: Volume 58, No. 1 (2010)

GENERAL SOLUTION FOR
MULTIPLE FOLDINGS OF HEXAFLEXAGONS

Yutaka Nishiyama
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa, Osaka, 533-8533, JAPAN
e-mail: [email protected]


Abstract.This article explains hexaflexagons: how to make them, how to operate them, and their mathematical theory. Hexaflexagons are known to be surfaces with no inside or outside, similar to Möbius strips. Referring to the articles of Gardner and Madachy the author discovered a general solution for multiple foldings of hexaflexagons, which is described.

Received: December 29, 2009

AMS Subject Classification: 00A08, 00A09, 97A20

Key Words and Phrases: hexaflexagon, Möbius strip, topology, paper folding

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 58
Issue: 1