File:Circular-cross-decorative-knot-12crossings.svg
Original file (SVG file, nominally 600 × 600 pixels, file size: 4 KB)
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This is a file from the Wikimedia Commons |
Summary
| Description |
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 ). |
| Date | |
| Source |
Self-made graphic, converted from the following vector PostScript source code: %!
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 |
| Author | AnonMoos |
| Other versions |
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 . |
Licensing
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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. |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 16:56, 2 August 2010 | | 600 × 600 (4 KB) | AnonMoos | == {{int:filedesc}} == 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 and topologic |
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