Möbius Strip as a Half-Twisted Square Torus

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.

SNAPSHOTS

  • [Snapshot]
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DETAILS

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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