Building the APL atlas of natural shapes

Abstract

It was previously shown [1] that APL contained the most powerful idiom ≠\ that could be used, directly in the language all computers know: binary algebra, to build models as well for physics as for biology and computer science. Several papers on the subject were published or submitted inside the "APL world" as well as outside (Bibliography in [2]). The purpose of the present paper is to show how a classical model, built to generate fractal shapes in plane geometry (2-D) can be revisited and considerably extended, thanks to the properties of ≠\ and of array-oriented binary algebra.