File:Figure8knot-parametricequation.png: Difference between revisions
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Representation of [[4_1]] knot generated from trigonometric parametric equations x=(2+cos(2t))*cos(3t) and y=(2+cos(2t))*sin(3t) |
Representation of [[4_1]] knot generated from trigonometric parametric equations '''x=(2+cos(2t))*cos(3t)''' and '''y=(2+cos(2t))*sin(3t)''' |
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That curve actually turns out to be the same as the curve generated by the polar-coordinates equation '''r=2+sin(2θ/3)''', except rotated by 45 degrees, so this image is in fact somewhat redundant to [[:Image:Figure8knot-rose-limacon-curve.png]] (they differ only in that this image has a narrower stroke width). |
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Self-made, declared to be in public domain, generated from the following PostScript source code: |
Self-made, declared to be in public domain, generated from the following PostScript source code: |
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Latest revision as of 07:30, 6 November 2010
Representation of 4_1 knot generated from trigonometric parametric equations x=(2+cos(2t))*cos(3t) and y=(2+cos(2t))*sin(3t)
That curve actually turns out to be the same as the curve generated by the polar-coordinates equation r=2+sin(2θ/3), except rotated by 45 degrees, so this image is in fact somewhat redundant to Image:Figure8knot-rose-limacon-curve.png (they differ only in that this image has a narrower stroke width).
Self-made, declared to be in public domain, generated from the following PostScript source code:
%!
300 396 translate 10 setlinewidth .92 .96 1 setrgbcolor
/A{/x exch def/y x 2 mul cos 2 add 80 mul def x 3 mul
cos y mul x 3 mul sin y mul}def
0 A moveto 1 1 360{A lineto}for closepath
gsave 24 setlinewidth 0 setgray stroke grestore stroke
24 setlinewidth 0 setgray
26 A moveto 27 1 34{A lineto}for stroke
116 A moveto 117 1 124{A lineto}for stroke
206 A moveto 207 1 214{A lineto}for stroke
296 A moveto 297 1 304{A lineto}for stroke
10 setlinewidth .92 .96 1 setrgbcolor
25 A moveto 26 1 35{A lineto}for stroke
115 A moveto 116 1 125{A lineto}for stroke
205 A moveto 206 1 215{A lineto}for stroke
295 A moveto 296 1 305{A lineto}for stroke
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:32, 3 November 2010 |  | 700 × 600 (21 KB) | AnonMoos (talk | contribs) | Representation of 4_1 knot generated from parametric equations x=(2+cos(2t))*cos(3t) and y=(2+cos(2t)}*sin(3t) Self-made, declared to be in public domain, generated from the following PostScript source code: <pre>%! 300 396 translate 10 setl |
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