A simple endless band in the form of belt-shaped loop (below left) has two distinct surfaces and two edges. Moving from one surface to the opposite site requires crossing one of the edges.

The Moebius Strip is an endless band that includes a half twist (below right). Amazingly, the band has only one surface and only one edge. Moving along the surface (like Escher's ants) will bring you to the opposite site without crossing the edge.

simple endless band ( load VRML ) |
endless band with half twist ( load VRML ) |

Load the VRML Animation (11.0K) of the Moebius Strip |

You may notice the small size of this VRML file. The geometry of the latticed band is not explicitly contained in the file but generated by an intelligent script. Every time the file is opened, the script creates the geometry during initialization (which may take a little time on a slow computer).

- A Moebius Strip made from Pop Cans (in VRML) by "Drastic-Creations"

- Moebius Strip by Alexander Bogomolny
- The Möbius Strip at the Bellevue Community College
- The Moebius Strip by Jan Garner
- Möbius Strip from Eric Weisstein's World of Mathematics
- Möbius (Moebius) strip by Paul Bourke
- Mobius Strip II on the World of Escher Web Site

Mathematical sculptor Helaman Ferguson

and his "Umbilic Torus" (Photo: David Gray)

- Escher's Penrose Staircase at the VRL
- Escher's "Ascending and Descending" in LEGO by Andrew Lipson

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