File:Trivial knots 3D.png

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Trivial_knots_3D.png(696 × 330 pixels, file size: 87 KB, MIME type: image/png)

Summary[edit]

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
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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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).
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Date/TimeThumbnailDimensionsUserComment
current01:21, 16 September 2006Thumbnail for version as of 01:21, 16 September 2006696 × 330 (87 KB)Makotoy (talk | contribs){{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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