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#1 (permalink) |
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Little did I know...
Supporting Member
Join Date: Aug 2004
Location: Idaho Panhandle
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A sphere has two sides. However, there are one-sided surfaces.
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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Local Time: 10:37 PM
Local Date: 12-03-2008 |
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#2 (permalink) | |
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Senior Member
Join Date: Aug 2004
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Re: A sphere has two sides. However, there are one-sided surfaces.
Quote:
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Local Time: 10:07 AM
Local Date: 12-04-2008 |
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#3 (permalink) | |
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Senior Member
Join Date: Aug 2004
Location: Northern Virginia
Posts: 651
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Re: A sphere has two sides. However, there are one-sided surfaces.
Quote:
My neighbor puts mobius strips to good use, she takes one half-twist and puts it around her neck, and then takes the other half-twist and puts it around her ponytail. |
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Local Time: 02:37 AM
Local Date: 12-04-2008 |
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#4 (permalink) | |
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Senior Member
Join Date: Aug 2004
Location: Not far away
Posts: 4,127
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Re: A sphere has two sides. However, there are one-sided surfaces.
(uses for a moebius strip)
Quote:
a bit more industrial.... |
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Local Time: 10:07 AM
Local Date: 12-04-2008 |
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