MAKE A MEME View Large Image Circular-cross-decorative-knot-12crossings.svg Decorative knot with twelve crossings depicted with four-fold symmetry and having an overall interlaced quasi-cross shape inside an enclosing circle This is a variant of File ...
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Keywords: Circular-cross-decorative-knot-12crossings.svg Decorative knot with twelve crossings depicted with four-fold symmetry and having an overall interlaced quasi-cross shape inside an enclosing circle This is a variant of File 12crossings-fourfold-symmetric svg which has all knot crossings at 90° angles and is topologically equivalent to File 12crossings-4symmetrical-square svg see http //katlas math toronto edu/wiki/K12a975 <gallery> Image Circular-cross-decorative-knot-12crossings svg Image 12crossings-fourfold-symmetric svg Image 12crossings-4symmetrical-square svg </gallery> Self-made graphic converted from the following vector PostScript source code <pre> 306 396 translate 1 1 -1 1 scale 38 75 setlinewidth/X 972 sqrt 10 add 3 sqrt mul 118 add def/W 30000 sqrt 10 sub def/Z X 72 sub def X neg 0 36 180 300 arc 0 W neg 200 120 60 arcn X 0 36 240 0 arc 0 0 X 36 add 0 90 arc 0 X 36 90 210 arc W neg 0 200 30 330 arcn 0 X neg 36 150 270 arc 0 0 X 36 add 270 360 arc X 0 36 0 120 arc 0 W 200 300 240 arcn X neg 0 36 60 180 arc 0 0 X 36 add 180 270 arc 0 X neg 36 270 30 arc W 0 200 210 150 arcn 0 X 36 -30 90 arc 0 0 X 36 add 90 180 arc closepath gsave 50 setlinewidth 1 9 1 setrgbcolor stroke grestore stroke 4 50 setlinewidth 1 9 1 setrgbcolor 0 W neg 200 91 109 arc stroke X 0 36 85 0 arcn 0 0 X 36 add 360 343 5 arcn stroke 0 W 200 247 240 arcn -50 dup 3 sqrt div neg rlineto stroke 38 75 setlinewidth 0 setgray 0 W neg 200 90 110 arc stroke X 0 36 86 0 arcn 0 0 X 36 add 360 342 5 arcn stroke 0 W 200 248 240 arcn -52 dup 3 sqrt div neg rlineto stroke 90 rotate repeat showpage EOF</pre> 2010 AnonMoos For a quasi-version of this with threefold symmetry i e 9 crossings see File 9crossings-decorative-knot-threefold-incircle svg 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 12 crossing number knots and links Knots knot theory Decorative knots Images with PostScript source code Knots with 4-fold rotational symmetry Chiral images with rotational symmetry Round symbols Round graphic ornaments Knots and links on transparent background Black line knots and links
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