Swastika curve

Swastika curve

The swastika curve is the name given by Cundy and Rollett to the quartic plane curve with the Cartesian equation

: y^4-x^4 = xy,,

or, equivalently, the polar equation

:r^2 = - an(2 heta)/2. ,

The curve looks similar to the right-handed swastika, but can be inverted with respect to a unit circle to resemble a left-handed swastika. The Cartesian equation then becomes

: x^4 - y^4 = xy. ,

External links

* [http://mathworld.wolfram.com/SwastikaCurve.html Mathworld Article]
* [http://www.jstor.org/view/00255572/ap060315/06a00150/0 Mathematical Notes]


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