File:8crossings-rose-limacon-knot.svg

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Original file (SVG file, nominally 642 × 600 pixels, file size: 34 KB)

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Decorative symmetric knot with eight crossings. The curves were generated from the polar coordinates equation r=b+sin(aθ), which is a slight generalization of the Limaçon and Rose/rhodonea curves, using parameters a=(2/5) and b=(8/5).

Extends the symmetrical form of the mathematical figure-8 knot (File:Figure8knot-rose-limacon-curve.svg).
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Self-made graphic, generated from the following vector PostScript source-code:

%!
300 396 translate -45 rotate 77.5 dup scale .125 setlinewidth .92
.96 1 setrgbcolor/z{{w lineto}for stroke}def/ecc{1.6}def/w{/th
exch def th 2 mul 5 div/x exch def x sin ecc add th cos mul x sin
ecc add th sin mul}def/y{dup w moveto 1 add 1}def 0 y 1800{w
lineto}for closepath gsave 0 setgray .325 setlinewidth stroke
grestore stroke 0 setgray .325 setlinewidth 24 y 68 z 276 y 352 z
472 y 516 z 728 y 800 z 924 y 968 z 1176 y 1252 z 1372 y 1416 z
1628 y 1700 z .125 setlinewidth .92 .96 1 setrgbcolor 23 y 69 z
275 y 353 z 471 y 517 z 727 y 801 z 923 y 969 z 1175 y 1253 z
1371 y 1417 z 1627 y 1701 z 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.
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/TimeThumbnailDimensionsUserComment
current04:25, 6 August 2022Thumbnail for version as of 04:25, 6 August 2022642 × 600 (34 KB)Smasongarrison (talk | contribs)slimmed down with svgomg // Editing SVG source code using c:User:Rillke/SVGedit.js
02:53, 27 February 2010Thumbnail for version as of 02:53, 27 February 2010642 × 600 (52 KB)AnonMoos (talk | contribs)Decorative symmetric knot with eight crossings. The curves were generated from the polar coordinates equation r=b+sin(aθ), which is a slight generalization of the Limaçon and Rose/rhodonea curves, using parameters a=(2/5) and b=(8/5). Extends the symme

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