File:Figure8knot-rose-limacon-curve.svg
Original file (SVG file, nominally 696 × 600 pixels, file size: 27 KB)
Captions
Summary edit
DescriptionFigure8knot-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: |
Date | |
Source |
Self-made graphic, generated from the following vector PostScript source-code: %! 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 |
Author | AnonMoos |
Other versions |
Licensing edit
Public domainPublic domainfalsefalse |
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
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 02:36, 27 February 2010 | 696 × 600 (27 KB) | AnonMoos (talk | contribs) | Thefigure-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/rhod |
You cannot overwrite this file.
File usage on Commons
The following 8 pages use this file:
File usage on other wikis
The following other wikis use this file:
- Usage on de.wikipedia.org
- Usage on en.wikipedia.org
- Usage on it.wikipedia.org
- Usage on ja.wikipedia.org
- Usage on pt.wikipedia.org
- Usage on ru.wikipedia.org
- Usage on uk.wikipedia.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Short title | Symmetric 4-crossing knot based on generalization of the Limacon and Rose curves. |
---|