The shape of a Möbius band
1993 ◽
Vol 440
(1908)
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pp. 149-162
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The shape of a Möbius band made of a flexible material, such as paper, is determined. The band is represented as a bent, twisted elastic rod with a rectangular cross-section. Its mechanical equilibrium is governed by the Kirchhoff–Love equations for the large deflections of elastic rods. These are solved numerically for various values of the aspect ratio of the cross-section, and an asymptotic solution is found for large values of this ratio. The resulting shape is shown to agree well with that of a band made from a strip of plastic.
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2004 ◽
Vol 412-414
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pp. 1045-1049
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1970 ◽
Vol 4
(2)
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pp. 99-110
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2002 ◽
Vol 470
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pp. 91-114
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1985 ◽
Vol 12
(3)
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pp. 313-322
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