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| View Original: | Trefoil-non-3-symm.svg (800x514) | |||
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| Keywords: Trefoil-non-3-symm.svg The Trefoil three-crossing knot of knot theory depicted in a symmetrical form but without its usual visible three-fold structure here there is two-fold rotational symmetry fitting within a rectangle but no three-fold symmetries or anything approximating to three-fold symmetry To see that this is topologically equivalent to the more usual visual forms of the trefoil knot look at image File Trefoil-non-3-symm-flip demonstration svg center 540px For a more symmetrical 3-D version of this see File One-Twist Trefoil png Self-made graphic converted from the following vector PostScript source code <pre> 306 396 translate/z 20000 sqrt def 92 96 1 setrgbcolor 12 setlinewidth 0 0 100 315 270 arcn z 30 add neg -100 lineto z 30 add neg 100 lineto z neg 0 100 90 45 arcn z 0 100 225 270 arc z 30 add -100 lineto z 30 add 100 lineto 0 0 100 90 135 arc z -2 div 50 add z 5 mul neg 50 add 100 135 195 arc z neg 50 add 50 100 255 315 arc z 50 sub -50 100 135 75 arcn z 2 div 50 sub z 2 div 50 sub 100 15 -45 arcn closepath gsave 0 setgray 32 setlinewidth stroke grestore stroke 0 setgray 32 setlinewidth -10 10 moveto 20 -20 rlineto stroke 0 0 100 126 135 arc -11 -11 rlineto stroke 0 0 100 306 315 arc 11 11 rlineto stroke 92 96 1 setrgbcolor 12 setlinewidth -11 11 moveto 22 -22 rlineto stroke 0 0 100 125 135 arc -12 -12 rlineto stroke 0 0 100 305 315 arc 12 12 rlineto stroke showpage EOF</pre> 2009 AnonMoos Trefoil knots Decorative knots Images with PostScript source code Knots and links on transparent background Outline knots and links 2-fold rotational symmetry | ||||
