Superellipsoid

A rounded cube softens into a sphere and pinches into a faceted jewel. Continuous contours expose the changing silhouette.

Superellipsoid: A rounded cube softens into a sphere and pinches into a faceted jewel. Continuous contours expose the changing silhouette.Superellipsoid: A rounded cube softens into a sphere and pinches into a faceted jewel. Continuous contours expose the changing silhouette.

About this shape

Gabriel Lamé · Piet Hein's superegg · Alan Barr's superquadrics, 1981

Superellipsoid, superquadrics, drawn by GART: A rounded cube softens into a sphere and pinches into a faceted jewel. Continuous contours expose the changing silhouette.
Superellipsoid · CC BY 4.0

An original parametric line study. Density controls the number of traces, form changes their geometry, and turn and tilt choose the projection. Motion follows a closed twenty-four-second cycle; the selected frame is preserved in saved drawings and exports.

Behind the mathematics

Piet Hein1905–1996

The superegg

Danish polymath who popularised the superellipse in design and architecture, showing how mathematics can soften the meeting of circle and rectangle.

Alan H. Barr

Superquadrics, 1981

American computer scientist who in 1981 introduced superquadrics, the rounded cubes and pinched stars of computer graphics.