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File:12crossings-rose-limacon-knot.svg

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Summary

Description

Decorative symmetric knot with twelve 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=(2/7) and b=1.35.

Extends the symmetrical 8-crossing knot (File:8crossings-rose-limacon-knot.svg).
Date
Source

Self-made graphic, generated from the following vector PostScript source-code:

%!
300 396 translate 45 rotate 85 dup scale .075 setlinewidth .92
.96 1 setrgbcolor/z{{w lineto}for stroke}def/ecc{1.35}def/w{/th
exch def th 2 mul 7 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 2520
{w lineto}for closepath gsave 0 setgray .2 setlinewidth stroke
grestore stroke 0 setgray .2 setlinewidth 112 y 160 z 360 y 452
z 568 y 604 z 744 y 788 z 992 y 1076 z 1196 y 1232 z 1372 y
1420 z 1620 y 1712 z 1828 y 1864 z 2004 y 2048 z 2252 y 2336 z
2456 y 2492 z .075 setlinewidth .92 .96 1 setrgbcolor 111 y 161
z 359 y 453 z 567 y 605 z 743 y 789 z 991 y 1077 z 1195 y 1233
z 1371 y 1421 z 1619 y 1713 z 1827 y 1865 z 2003 y 2049 z 2251
y 2337 z 2455 y 2493 z showpage
%EOF
Author AnonMoos

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d4124f9b3d400236ce4cf754b2f2818b46cbc9c2

74,321 byte

600 pixel

626 pixel

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Date/TimeThumbnailDimensionsUserComment
current03:05, 27 February 2010Thumbnail for version as of 03:05, 27 February 2010626 × 600 (73 KB)AnonMoosDecorative symmetric knot with twelve 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=(2/7) and b=1.35. Extends the symme

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