File:Knot-9crossings-symmetrical.svg

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Original file(SVG file, nominally 636 × 600 pixels, file size: 7 KB)

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Decorative knot with nine crossings, depicted with three-fold symmetry. The central portion has a shape like a triquetra. Topologically equivalent to File:9crossings-knot-symmetric-triangles-pseudo-valknut.svg and File:9crossings-knot-symmetric-triangles-quasi-valknut.svg.

For a 12-crossing symmetrical knot which visually extends this, see Image:12crossings-rose-rhodonea-limacon-symmetrical-knot.svg .

For another (topologically distinct) 9-crossing knot with three-fold symmetry, see File:9crossings-decorative-knot-threefold-incircle.svg .
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Self-made graphic, converted from a version of the following vector PostScript source code:

%!
306 396 translate .4 dup scale/x 240 3 sqrt div neg def
24 setlinewidth 1 setgray/A{-120 x 360 210 360 arc 0 x
240 0 180 arc 120 x 360 180 330 arc 60 10800 sqrt rlineto
gsave 60 setlinewidth 0 setgray stroke grestore stroke}def
A gsave 2{120 rotate A}repeat grestore 60 setlinewidth 0
setgray 3{-120 x 360 277 302 arc stroke 0 x 240 47 71
arc stroke 120 rotate}repeat 0 x 240 170 180 arc 120 x 360
180 187 arc stroke 1 setgray 24 setlinewidth 3{-120 x 360
276 303 arc stroke 0 x 240 46 72 arc stroke 120 rotate}
repeat 0 x 240 160 180 arc 120 x 360 180 188 arc stroke
showpage
%EOF
Author AnonMoos

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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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Date/TimeThumbnailDimensionsUserComment
current06:53, 15 February 2010Thumbnail for version as of 06:53, 15 February 2010636 × 600 (7 KB)AnonMoos (talk | contribs)Decorative knot with nine crossings, depicted with three-fold symmetry. Self-made graphic, converted from a version of the following vector PostScript source code: <pre>%! 306 396 translate .4 dup scale/x 240 3 sqrt div neg def 24 setlinewidth 1 setgray

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