La geometría de las formas de la naturaleza

Abstract

The attempt to rationally domínate the concepts of space gave place to the birth of Geometry. Mathematics as a whole is permeated by a sense of geometry. And it could be no other way, considering the eminently visual and spatial character of a great part ofmathematics, and given the fact that there is a tendency to obtain clarification of even the most abstract ideas in an intuitive and graphic manner.

Nature's geometrical shapes will be classified according to shape-function, shape-metrics and shape-complexity binomials. This article takes up again the taxonomy of the most commonshapes in nature, emphasizing their mathematical expression and analysing their functionality and their structure as the fundamental elements that have made them prevail.

As a product of the Mathematics Laboratory research Project of the "Grupo de Investigación en Ciencias Básicas Da Vinci", this article shows the undeniable relationship between geometry, shape and structures as they present them selves innature , exploring shapes in a different way than the formal developments that are proper of Geometry.