In geometry, a superegg is a solid of revolution obtained by rotating an elongated superellipse with exponent greater than 2 around its longest axis. It is a special case of superellipsoid.
A squircle is a shape intermediate between a square and a circle. There are at least two definitions of "squircle" in use, one based on the superellipse, the other arising from work in optics. The wor
Superegg
…to being a surface of revolution rather than a solid. The volume of a superegg can be derived via squigonometry, a generalization of trigonometry to squircles. It is related to the gamma function: V = 4 π h R 2 3 p Γ ( 1 / p ) Γ ( 2 / p ) Γ ( 3 / p…