Möbius Strip as a Half-Twisted Square Torus
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.
Details
Details
There are four sliders:
1. Möbius sections
2. enantiomer (+1) or (-1)
3. Möbius and torus diameter
4. geometrical limit
1. Möbius sections
2. enantiomer
R
S
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.
R
S
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.
For more information, visit the following website:
External Links
External Links
Permanent Citation
Permanent Citation
V. M. Chapela, M. J. Percino
"Möbius Strip as a Half-Twisted Square Torus"
http://demonstrations.wolfram.com/MoebiusStripAsAHalfTwistedSquareTorus/
Wolfram Demonstrations Project
Published: October 9, 2024