File:12crossings-fourfold-symmetric.svg

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
-182.994949366 35 35 180 225 arc -147.994949366 0 35 225 315 arc
-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
35 -182.994949366 35 225 270 arc 35 -35 182.994949366 270 360 arc
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
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4{28 setlinewidth 0 setgray -24 35 moveto -22 0 rlineto stroke
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0 197.492424049 moveto 8 dup rmoveto -16 dup rlineto stroke
12.5 setlinewidth .92 .96 1 setrgbcolor -23 35 moveto -24 0 rlineto
stroke 0 98.497474683 moveto 9 dup rmoveto -18 dup rlineto stroke
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%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.
Category:Self-published work#12crossings-fourfold-symmetric.svgCategory:PD-self#12crossings-fourfold-symmetric.svg Category:12 crossing number knots and links Category:Knots and links on transparent background Category:Decorative knots Category:Images with PostScript source code Category:Knots with 4-fold rotational symmetry Category:Round SVG icons Category:Knotwork cross Category:Outline knots and links
Category:12 crossing number knots and links Category:Decorative knots Category:Images with PostScript source code Category:Knots and links on transparent background Category:Knots with 4-fold rotational symmetry Category:Knotwork cross Category:Outline knots and links Category:PD-self Category:Round SVG icons Category:Self-published work