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

Tombstone · Post by **Tombstone** » Thu Aug 26, 2004 7:56 pm

MÃƒÂ¶bius 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. MÃƒÂ¶bius (1790-1868) and bears his name: MÃƒÂ¶bius strip. Sometimes it's alternatively called a MÃƒÂ¶bius 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).

Attached files

Bill Sikes · Post by **Bill Sikes** » Fri Aug 27, 2004 2:26 am

Tombstone wrote: MÃƒÂ¶bius Strip

The first one-sided surface was discovered by A. F. MÃƒÂ¶bius (1790-1868) and bears his name: MÃƒÂ¶bius strip. Sometimes it's alternatively called a MÃƒÂ¶bius 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?

Bill Sikes · Post by **Bill Sikes** » Fri Aug 27, 2004 4:20 am

(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....