File:Trefoil-non-3-symm.png
From Knot Atlas
Trefoil-non-3-symm.png (800 × 514 pixels, file size: 10 KB, MIME type: image/png)
Trefoil knot without visible three-fold structure.
To see that this is topologically equivalent to the more usual visual forms of the trefoil knot, look at Image:Trefoil-non-3-symm-flip demonstration.png:
Self-made, declared to be in public domain, generated from the following PostScript source code:%! 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
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 05:25, 25 March 2010 | 800 × 514 (10 KB) | AnonMoos (Talk | contribs) | Trefoil knot without visible three-fold form. Self-made, declared to be in public domain, generated from the following 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 |
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