Superellipses and Superhyperbolas: Beyond Classical Geometry
2025-03-28
This article introduces superellipses and superhyperbolas, generalizations of ellipses and hyperbolas, respectively. The shapes are controlled by a parameter 'p'. When p=2, they reduce to standard ellipses and hyperbolas. Increasing p makes superellipses more rectangular, but with continuous curvature; superhyperbolas become blunted at the vertices. The article explores why superellipses are far more common than superhyperbolas, speculating on naming conventions and the lack of effective advocacy for the latter.
Misc
Superellipse