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File:Trivial knots 3D.png

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.
Date 16 September 2006
Source Own work
Author YAMASHITA Makoto I mainly contribute math graphics. My home wiki is Japanese Wikipedia ( my user page there), but I occasionally contribute to English Wikipedia as en:User:Makotoy and other WikiMedia projects.

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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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This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons
attribution share alike		 This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.
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