Keywords: Four-trefoils-24crossings-ornamental.svg Ornamental configuration of four mutually interlinked trefoil knots or triquetras for a total of 24 crossings This can be extended as an indefinitely-repeating pattern see http //katlas math toronto edu/wiki/Image Trefoils-interlinked-ornamental png Compare File Three-trefoils-15crossings svg Self-made image converted from the following PostScript vector source code <pre> 306 396 translate 25 dup scale 1 -1 scale/factor 250 1 456696 mul def/radius 100 5000 sqrt add 1 456696 mul def/z factor dup mul 2 div sqrt def/Q factor dup mul 6 div sqrt neg def/W factor dup mul 1 5 div sqrt def/C 87 97 87 setrgbcolor def/A gsave 36 setlinewidth C z neg Q radius 330 90 arcn z Q radius 90 210 arcn 0 W radius 210 330 arcn closepath gsave 72 setlinewidth 0 setgray stroke grestore stroke 72 setlinewidth 0 setgray 3 -232 100 moveto 119 0 rlineto stroke 120 rotate repeat 36 setlinewidth C 3 -233 100 moveto 121 0 rlineto stroke 120 rotate repeat grestore def A/C 92 96 1 setrgbcolor def gsave 0 -659 translate -1 -1 scale A grestore gsave 329 5 dup 3 sqrt mul exch translate -1 -1 scale A grestore gsave 329 5 dup 3 sqrt mul neg exch translate -1 -1 scale A grestore 72 setlinewidth 0 setgray z neg Q radius 183 202 arc stroke z neg Q radius 303 322 arc stroke 0 W radius 63 82 arc stroke 0 W radius 183 202 arc stroke z Q radius 303 322 arc stroke z Q radius 63 82 arc stroke 36 setlinewidth 87 97 87 setrgbcolor z neg Q radius 182 203 arc stroke z neg Q radius 302 323 arc stroke 0 W radius 62 83 arc stroke 0 W radius 182 203 arc stroke z Q radius 302 323 arc stroke z Q radius 62 83 arc stroke showpage EOF</pre> 4 component links Decorative knots Images with PostScript source code 24 crossing number knots and links Outline knots and links |