Method/Nature

Superformula

maetel 2007. 7. 20. 12:29
Superformula
: a generalization of the superellipse and was first proposed by Johan Gielis


Wolfram MathWorld: Superellipse:
A superellipse is a curve with Cartesian equation
|x/a|^r+|y/b|^r==1,
(1)

first discussed in 1818 by Lamé. A superellipse may be described parametrically by

x=acos^(2/r)t
(2)
y=bsin^(2/r)t.
(3)


Math Trek: A Geometric Superformula
Ivars Peterson, Science News Online, May 3, 2003