superformula
Sign in to saveThe superformula is a generalization of the superellipse and was proposed by Johan Gielis in 2003. Gielis suggested that the formula can be used to describe many complex shapes and curves that are found in nature. Gielis has filed a patent application related to the synthesis of patterns generated by the superformula, which expired effective 2020-05-10.
~4 min read
Encyclopedic overview
6 sectionsContents
- 2D plots
- Extension to higher dimensions
- 3D plots
- Generalization
- References
- External links
The superformula is a generalization of the superellipse and was proposed by Johan Gielis in 2003. Gielis suggested that the formula can be used to describe many complex shapes and curves that are found in nature. Gielis has filed a patent application related to the synthesis of patterns generated by the superformula, which expired effective 2020-05-10.
In polar coordinates, with r the radius and \varphi the angle, the superformula is:
Excerpted from Wikipedia’s “superformula” article, available under the CC BY-SA 4.0 licence.