Keywords: 12crossings-rose-limacon-knot.svg 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 Self-made graphic generated from the following vector PostScript source-code <pre> 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</pre> 2010 AnonMoos 12 crossing number knots and links Knots knot theory Decorative knots 2-fold rotational symmetry Chiral images with rotational symmetry Images with PostScript source code Knots and links on transparent background Outline knots and links Round graphic ornaments |