File:Trefoil-non-3-symm.svg
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Size of this PNG preview of this SVG file: 800 × 514 pixels. Other resolutions: 320 × 206 pixels | 640 × 411 pixels | 1,024 × 658 pixels | 1,280 × 822 pixels | 2,560 × 1,645 pixels.
Original file (SVG file, nominally 800 × 514 pixels, file size: 2 KB)
Summary
| Description |
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:  |
| Date | |
| Source |
Self-made graphic, converted from the following vector 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 |
| Author | AnonMoos |
Licensing
|
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:51, 25 March 2010 | | 800 × 514 (2 KB) | wikimediacommons>AnonMoos | 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, but no three-fold symmetries, or anything approximating to three-fold symmetr |
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