Mathematics and Beauty: A Sampling of Spirals and 'Strange' Spirals in Science, Nature and Art

Abstract

Computers with graphics can be used to produce visual representations of complicated physical and mathematical structures and phenomena. This paper presents an overview of spiral geometry in mathematics, nature, physics, civilization and art, with an emphasis on novel spiral forms created by the author. ‘Recipes’ for both traditional and nontraditional spirals are given. The computer-generated patterns are of interest artistically and mathematically, and they reveal a visually striking and intricate class of spirals whose generating algorithms range from electronic circuit equations to random segment methods.

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