IJPAM: Volume 78, No. 8 (2012)

PLAYING WITH MÖBIUS STRIPS

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


Abstract. Möbius strips are well known in topology as curved surfaces with no inside or outside. The degree of twist in the loop is particularly important, that is whether it is an odd or even multiple of 180 degrees. This article expresses how interesting mathematics can be, by splitting Möbius strips into halves or thirds using a pair of scissors, and contains a hint for unravelling the structure of space.

Received: March 5, 2012

AMS Subject Classification: 00A09, 51H02, 97A20

Key Words and Phrases: Möbius strip, Topology, Non-Euclidean geometry, Endless tapes

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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: 78
Issue: 8