File:Circular-cross-decorative-knot-12crossings.svg
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Summary[edit]
DescriptionCircular-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 ). |
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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[edit]
Public domainPublic domainfalsefalse |
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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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 16:56, 2 August 2010 | 600 × 600 (4 KB) | AnonMoos (talk | contribs) | == {{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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Short title | Twelve-crossing decorative circular cross knot. |
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