Umbilic Brain, Stage III, 6 inch

6" umbilic torus with Stage III hilbert-peano surface filling curve engraving Cf., the other Umbilic Tori, WUSA-TV, Studio 9, Washington, D. C. 1990, also Claire Ferguson, " Helaman Ferguson: Mathematics in Stone and Bronze", Meridian Creative Group, Publisher, 1994, ISBN 0-9639121-0-0, pages 6-7, 73, 76. The form of Umbilic Torus NC is a continuous donut-shaped surface patterned with a space-filling curve. It stands as a monument to the timelessness of human creativity as though it had just been unearthed with painstaking care from a Chinese tomb or an Egyptian pyramid--its Faience-tinted bronze corroded by centuries of silent waiting. The space filling curve, mysterious as the Chinese calligraphic script or Egyptian hieroglyphics-- flows over the surface, defining it, by beginning at any point and meticulously returning to that point after traversing every inch of its area. The form of the space filling curve is universal, known from the earliest architecture and ornament. The angles of the space filling curve play a harmonious counterpoint to the torus, or ring, which has always signified unbroken love.

Photo credit, Sunforge Studios