Swastika Curve

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

or, equivalently, the polar equation

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

Famous quotes containing the words swastika and/or curve:

    Loss of freedom seldom happens overnight. Oppression doesn’t stand on the doorstep with toothbrush moustache and swastika armband—it creeps up insidiously ... step by step, and all of a sudden the unfortunate citizen realises that it is gone.
    Baron Lane (b. 1918)

    And out again I curve and flow
    To join the brimming river,
    For men may come and men may go,
    But I go on forever.
    Alfred Tennyson (1809–1892)