Nature, as a response to the action of force, creates a great diversity of forms from a basic inventory of archetypal principles. The archetypes are the basic pattern-forming processes that, operating within strict limits, create limitless varieties. In the case of a plant, for example, the intrinsic force system is governed by the genetic coding that organizes the molecular arrangements to shape the vegetal characteristics of that particular plant. They are largely environmental such as soil content, temperature, humidity and sunshine. They govern the options and limitations regarding everything the plant can be.
All natural forms are a blend of beauty and function.
Nature produces beauty beyond compare, while at the same time expends the least amount of energy in any situation. With a minimal inventory nature develops the most refined, regenerative technology and utilizes the most proficient means for the distribution of available energy and material resources. All natural forms are an embodiment of the mathematical principles and processes that created and maintain them. The same geometric principles that are an innate part of nature can be produced in classical geometry through uniform divisions of the circle and sphere. The three primary shapes that arise from the equal divisions of the circle are the equilateral triangle, the square and the regular pentagon.