Gielis Curves, Surfaces and Transformations

Abstract

In Lamé Ovals, Gridgeman writes: “The set of Lamé curves for A = B and n > 1 fills the area between a square and its inscribed circle. A further generalization that immediately suggests itself is the coverage of the analogous curves that lie between other regular polygons and their inscribed circles. This is merely a remark” [92].

Describing form is one of the more intractable problems in biology. Researchers have come up with many ways to describe leaves and shells, for example, but there is little unity: Things have become cumbersome and idiosyncratic. The Superformula might provide a single, simple framework for analysing and comparing the shapes of life. This is an exciting development.

Karl J. Niklas