Astroid
x = a cos3 t
y = a sin3 t
|
Cartesian Equation : |
x2/3 + y2/3 = a2/3 |
|
Parametric Equation : |
x = a cos3 t , y = a sin3 t |
References
J. Dennis Lawrence, A Catalog of Special Plane Curves, pp. 173-174.
2d Curves : http://www.2dcurves.com/roulette/roulettea.html
Famous Curves Index : http://www-gap.dcs.st-and.ac.uk/~history/Curves/Astroid.html