File:12crossings-fourfold-symmetric.svg

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Original file(SVG file, nominally 600 × 600 pixels, file size: 3 KB)

This file is from Wikimedia Commons and may be used by other projects. The description on its file description page there is shown below.

Summary

Description Decorative knot with twelve crossings, depicted with four-fold symmetry, and having an overall interlaced quasi-cross shape inside an enclosing circle; all knot crossings are shown at 90° angles.
Date
Source

Self-made graphic, converted from the following vector PostScript source code:

%!
306 396 translate 12.5 setlinewidth .92 .96 1 setrgbcolor
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-49 0 35 135 90 arcn 49 0 35 90 45 arcn
147.994949366 0 35 225 315 arc 182.994949366 35 35 315 360 arc
35 35 182.994949366 0 90 arc 35 182.994949366 35 90 135 arc
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0 -49 35 0 -45 arcn 0 -147.994949366 35 135 225 arc
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182.994949366 -35 35 0 45 arc 147.994949366 0 35 45 135 arc
49 0 35 315 270 arcn -49 0 35 270 225 arcn
-147.994949366 0 35 45 135 arc -182.994949366 -35 35 135 180 arc
-35 -35 182.994949366 180 270 arc -35 -182.994949366 35 -90 -45 arc
0 -147.994949366 35 -45 45 arc 0 -49 35 225 180 arcn
0 49 35 180 135 arcn 0 147.994949366 35 -45 45 arc
-35 182.994949366 35 45 90 arc -35 35 182.994949366 90 180 arc
closepath gsave 28 setlinewidth 0 setgray stroke grestore stroke
4{28 setlinewidth 0 setgray -24 35 moveto -22 0 rlineto stroke
0 98.497474683 moveto 8 dup rmoveto -16 dup rlineto stroke
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12.5 setlinewidth .92 .96 1 setrgbcolor -23 35 moveto -24 0 rlineto
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90 rotate}repeat showpage
%EOF
Author AnonMoos
Other versions

This is a variant of File:Circular-cross-decorative-knot-12crossings.svg and topologically equivalent to File:12crossings-4symmetrical-square.svg (see http://katlas.math.toronto.edu/wiki/K12a975 ).

For a 12-crossing knot with three-fold symmetry, see File:12crossings-rose-rhodonea-limacon-symmetrical-knot.svg and for a 12-crossing knot with two-fold symmetry, see File:12crossings-rose-limacon-knot.svg .

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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image/svg+xml

384fc7c270a00462b4f2dd9de92c022437b90a80

3,164 byte

600 pixel

600 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current15:09, 11 August 2010Thumbnail for version as of 15:09, 11 August 2010600 × 600 (3 KB)wikimediacommons>AnonMoosmore consistent visual appearance

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