Image:Trivial knots 3D.png

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Summary

Description

This picture shows two trivial knots in the knot theory (mathematics). The right one is the usual circle. On the other hand, the left one resembles to the trefoil knot. They have the same projection if one neglects the vertical relationship of the string at intersections. However, slight difference of string arrangement at intersection makes the one drawn here the trivial knot, i.e. one can untie the knot to the circle without splitting the string. This picture presents both knots as 3D graphics to illustrate the arrangement of the strings.
Source

Own work
Date

2006-09-16
Author

YAMASHITA Makoto I'm contributing math graphics. My account at Japanese Wikipedia: ja:User:Makotoy.
Permission
( Reusing this image)

See below

Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation license, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled " GNU Free Documentation license".

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File history

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Date/Time Dimensions User Comment
current 01:21, 16 September 2006 696×330 (87 KB) Makotoy ({{Information |Description=This picture shows two trivial knots in the knot theory (mathematics). The right one is the usual circle. On the other hand, the left one resembles to the trefoil knot. They have the same projection if one neglects the vertical )
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Retrieved from "http://en.wikipedia.org/wiki/Image:Trivial_knots_3D.png"
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