Keywords: Interlinked-trefoil-knots background-tile.svg A pattern of interlinked trefoil knots which extends indefinitely as wallpaper when repeats of this graphic are tiled side-by-side and top-to-bottom A version of this was previously uploaded as http //katlas math toronto edu/wiki/Image Trefoils-interlinked-ornamental png Converted from the following vector PostScript source code <pre> 300 362 translate 14 - 14 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 -237 100 moveto 129 0 rlineto stroke 120 rotate repeat grestore def A gsave -1141 4215 0 translate A grestore gsave 1141 4215 0 translate A grestore gsave -570 7107 -988 5 translate A grestore gsave 570 7107 -988 5 translate A grestore gsave -1712 1322 -988 5 translate A grestore gsave 1712 1322 -988 5 translate A grestore gsave -570 7107 988 5 translate A grestore gsave 570 7107 988 5 translate A grestore gsave -1712 1322 988 5 translate A grestore gsave 1712 1322 988 5 translate A grestore /C 92 96 1 setrgbcolor def gsave 0 -659 translate -1 -1 scale A grestore gsave -570 7107 329 5 translate -1 -1 scale A grestore gsave 570 7107 329 5 translate -1 -1 scale A grestore gsave -1712 1322 329 5 translate -1 -1 scale A grestore gsave 1712 1322 329 5 translate -1 -1 scale A grestore gsave -1141 4215 -659 translate -1 -1 scale A grestore gsave 1141 4215 -659 translate -1 -1 scale A grestore gsave -570 7107 -1647 5 translate -1 -1 scale A grestore gsave 570 7107 -1647 5 translate -1 -1 scale A grestore gsave -1712 1322 -1647 55 translate -1 -1 scale A grestore gsave 1712 1322 -1647 5 translate -1 -1 scale A grestore /B 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 def B gsave -1141 4215 0 translate B grestore gsave 1141 4215 0 translate B grestore gsave -570 7107 -988 5 translate B grestore gsave 570 7107 -988 5 translate B grestore gsave -1712 1322 -988 5 translate B grestore gsave 1712 1322 -988 5 translate B grestore gsave -570 7107 988 5 translate B grestore gsave 570 7107 988 5 translate B grestore gsave -1712 1322 988 5 translate B grestore gsave 1712 1322 988 5 translate B grestore 5 setlinewidth 1 0 0 setrgbcolor -1712 1322 735 moveto 3424 2644 0 rlineto 0 -1977 rlineto -3424 2644 0 rlineto closepath stroke showpage EOF</pre> Trefoil knots Trefoil knot diagrams with 3-fold rotational symmetry Images with PostScript source code Backdrop tiles Outline knots and links |