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A sphere has two sides. However, there are one-sided surfaces.

Posted: Thu Aug 26, 2004 7:56 pm
by Tombstone
Möbius Strip

A sphere has two sides. A bug can be trapped inside a spherical shape or crawl on its visible surface.

A sheet of paper also has two sides.

The first one-sided surface was discovered by A. F. Möbius (1790-1868) and bears his name: Möbius strip. Sometimes it's alternatively called a Möbius band. (Actually, the surface was described independently and earlier by a couple of months by another German mathematician J. B. Listing.)

The strip was immortalized by M. C. Escher (1898-1972).

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A sphere has two sides. However, there are one-sided surfaces.

Posted: Fri Aug 27, 2004 2:26 am
by Bill Sikes
Tombstone wrote: Möbius Strip

The first one-sided surface was discovered by A. F. Möbius (1790-1868) and bears his name: Möbius strip. Sometimes it's alternatively called a Möbius band. (Actually, the surface was described independently and earlier by a couple of months by another German mathematician J. B. Listing.)

The strip was immortalized by M. C. Escher (1898-1972).


This is a very useful thing - can you think of where it is used today?

A sphere has two sides. However, there are one-sided surfaces.

Posted: Fri Aug 27, 2004 4:20 am
by Bill Sikes
(uses for a moebius strip)

Warsai wrote: Roller coasters? Just kidding.


Could be fun..... you're sort of thinking along the right lines, too, but go

a bit more industrial....