Suvarna Garge (Editor)

Swastika curve

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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 = x y ,

or, equivalently, the polar equation

r 2 = − tan ⁡ ( 2 θ ) / 2.

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

x 4 − y 4 = x y .

References

Swastika curve Wikipedia
(Text) CC BY-SA