Figure8knot-rose-limacon-curve

Autor/Urheber:

AnonMoos

Shortlink:

https://dewiki.de/b/23e7a4

Quelle:

Wikimedia Commons

Größe:

696 x 600 Pixel (27219 Bytes)

Beschreibung:

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:

${\displaystyle {\begin{aligned}x&=\left(2+\cos {(2t)}\right)\cos {(3t)}\\y&=\left(2+\cos {(2t)}\right)\sin {(3t)}\\\end{aligned}}}$

For an equivalent simple square depiction, see File:Figure8knot-math-square-alternate.svg .

Lizenz:

Public domain

Credit:

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