Differential Geometry and Geometric Structures
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Students' Work: Möbius Strip

One cannot divide a Möbius strip into two parts by cutting it along its midline. As a matter of fact, by doing so one gets a single longer strip with two full twists in it. Cutting this new strip, which is not Möbius, in the same manner as before yields two strips wound around each other.

Created by Anja Gotsmy (2012) using POV-Ray - The Persistance of Vision Raytracer.

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Catenoid and Helicoid
| 1 | | 2 | | 3 | | 4 |
Cockles
| 5 | | 6 | | 7 |
Hyperbolic Paraboloid
| 8 | | 9 | | 10 |
Klein Bottle
| 11 | | 12 | | 13 | | 14 | | 15 | | 16 |
Möbius Strip
| 17 | | 18 | | 19 | | 20 | | 21 | | 22 | | 23 |
Plücker's Conoid
| 24 | | 25 | | 26 | | 27 |
Snails
| 28 | | 29 | | 30 | | 31 |

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Last modified on February 18th, 2016.