IJPAM: Volume 78, No. 8 (2012)
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
Download paper from here.
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395