Morphing

Flattening

As an equation is placed inside a function of sine, its degree of curvature decreases. The more recursions of sine functions that are embedded inside each other, the more flattened the shape will become. Like smashing a ball of clay into a cube, as the sphere is smashed material is compressed. Flattening a shape also gradually scales the shape. The more cube-like the sphere becomes, the smaller it grows. A sphere can transform into a cube with one parametric equation, if slightly rounded corners are acceptable. Discrete edges would break the continuity and would require additional equations.