THE SIGIL OF NUMBER TWELVE: A THOUGHT EXPERIMENT ON A SELF-LIMITED TWELVE SEGMENT HINGED COIL SEQUENCE FORMING THE GESTALT IMAGE

Abstract

A kinetic diagram is shown where rectangles were expanding in a progressive linear sequence by hinged coil in 90° increment steps around the central core 1×1 square of a side a = 1; the width (base) of the rectangle varied with the length of the protruding tip of the hinged coil. The process was self-terminated after twelve steps when a unique (individual) 13×13 square Gestalt image mandala was formed comprising twelve distinctly different rectangles (segments). The growth and individualization of biological forms may be an inherently (structurally) pre-defined sequential non-linear auto-controlled dynamic process.