OK, enough about the superellipse. This plugin draws its 3D cousin, the Superellipsoid. The superellipsoid varies between a round shape (an ellipsoid), and a square shape (the rectangular bounding box). If all three axes are equal, it varies between a sphere and a cube. Here is an example of a superellipsoid that is halfway between a sphere and a cube, (i.e. 50% square).
The degree of squareness can vary in two directions: horizontal and vertical. The horizontal cross section is a superellipse with one degree of squareness. And the vertical cross section is also a superellipse with an independent degree of squareness.
In the picture above, the superellipsoids get more square horizontally as you move along the red axis, and more square vertically as you move along the green axis. The squareness values vary from 0% at the origin (the sphere) to 90% in each direction.
You can also consider negative squareness values. The more negative the value, the more the surface contracts in towards the center.
In this picture, the horizontal squareness varies along the red axis from –90 to +90, and the vertical squareness varies along the green axis from –90 to +90.
The Superellipsoid plugin is at: regularpolygon.org/plugins/superellipsoid.php.
Thanks.
