MAKE A MEME
View Large Image
| View Original: | Figure8knot-rose-limacon-curve.svg (696x600) | |||
| Download: | Original | Medium | Small | Thumb |
| Courtesy of: | commons.wikimedia.org | More Like This | ||
| Keywords: Figure8knot-rose-limacon-curve.svg The figure-eight knot of mathematical knot theory depicted in symmetric form The curves were generated from the polar coordinates equation r b+sin aθ which is a slight generalization of the Limaçon and Rose/rhodonea curves using parameters a 2/3 and b 2 The same curve with a different rotation about the origin is generated by the following non-polar parametric equations <math> \begin align x \left 2 + \cos 2t \right \cos 3t \\ y \left 2 + \cos 2t \right \sin 3t \\ \end align </math> For an equivalent simple square depiction see File Figure8knot-math-square-alternate svg Self-made graphic generated from the following vector PostScript source-code <pre> 300 396 translate 45 rotate 72 5 dup scale 1 setgray 175 setlinewidth/z w lineto for stroke def/ecc 2 def/w /th exch def th 2 mul 3 div/x exch def x sin ecc add th cos mul x sin ecc add th sin mul def/y dup w moveto 1 add 1 def 0 y 1080 w lineto for closepath gsave 0 setgray 455 setlinewidth stroke grestore stroke 0 setgray 455 setlinewidth 24 y 64 z 296 y 336 z 564 y 604 z 836 y 876 z 175 setlinewidth 1 setgray 23 y 65 z 295 y 337 z 563 y 605 z 835 y 877 z showpage EOF</pre> 2010 AnonMoos thumb center Figure-eight knots knot theory Knots and links on transparent background Images with PostScript source code Outline knots and links 2-fold rotational symmetry | ||||
