Swastika curve
Encyclopedia
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
Plane curve
In mathematics, a plane curve is a curve in a Euclidean plane . The most frequently studied cases are smooth plane curves , and algebraic plane curves....
with the Cartesian equation
or, equivalently, the polar equation
The curve looks similar to the right-handed swastika
Swastika
The swastika is an equilateral cross with its arms bent at right angles, in either right-facing form in counter clock motion or its mirrored left-facing form in clock motion. Earliest archaeological evidence of swastika-shaped ornaments dates back to the Indus Valley Civilization of Ancient...
, but can be inverted with respect to a unit circle to resemble a left-handed swastika. The Cartesian equation then becomes