Morphing

Introduction

‘The way in which a problem is decomposed imposes fundamental constraints on the way in which people attempt to solve that problem.’

(Rodney Brooks, 1999)

A shape can be defined as anything with a geometric boundary. Yet, when describing a shape with mathematics, precision is crucial.

Dictionaries define words, but these words do not necessarily define our understanding of the world in which we perceive and create. The word ‘cube’ is defined as a shape whose boundary is composed of six congruent square faces. Imagine cutting six square pieces of paper and gluing the edges together. The cube, in this case, is created by six square planes. In mathematics, these planes are considered discrete elements. Because each plane in the paper ...