Möbius Strip as a Half-Twisted Square Torus

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The square half-twisted torus can be changed into a Möbius strip if you shrink the square to a line segment, and vice versa. You can also change chirality to observe the isomers becoming mirror images of each other.

Contributed by: V. M. Chapela and M. J. Percino (March 2011)
Open content licensed under CC BY-NC-SA



There are four sliders: 1. Möbius sections 2. enantiomer (+1) or (-1) 3. Möbius and torus diameter 4. geometrical limit

The first slider makes the Möbius sections grow from 0 to 360 degrees. The Möbius strip is constructed from a large number of discrete cuboids that are rotated about a circle. This is similar to the torus, a surface of revolution generated by revolving a circle in three dimensions about an axis perpendicular to the circle.

The second slider, enantiomer or , changes the twist.

The third slider makes the Möbius strip and squared section diameter larger or smaller.

The fourth slider increases or decreases the rectangular pieces from a flat plate to a square cross section.

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