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Umbilic Torus NC

Exhibitions:
all over, siggraph, joint meetings, covers of calculus books, etc., National Science Foundation, Arlington, Virginia; National Academies, 500 Fifth Street, Washington, D. C.; National Academy of Science, Constitution Avenue, Washington, D. C., etc.
Collections:
1/12 The Mathematical Association of America
2/12 Syracuse University, Department of Mathematics, Syracuse, New York
3/12 The University of California at San Francisco, Medical School Library, Parnassus, San Francisco, California
4/12 Mitchell and Robin Melamed, Chicago, Illinois
5/12 David and Karen Stoutemeyer, Soft Warehouse, Honolulu, Hawaii
6/12 Roland E. Larson, Larson Texts, Inc., Erie, Pennsylvania
7/12 Ron Graham and Fan Chung, San Diego, California
8/12 Beckman Institute, University of Illinois, Urbana-Champaign
9/12 Dean Morehouse, MTM, Pennsylvania Avenue, Upper Marlboro, Maryland
Dimensions:
27" x 27" x 9" (enveloping torus)
Weight:
100 lbs
Surface:
surface filling hilbert-peano curve
Materials:
Silicon bronze with antique verde patina
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.

Cf., Claire Ferguson, " Helaman Ferguson: Mathematics in Stone and Bronze", Meridian Creative Group, Publisher, 1994, ISBN 0-9639121-0-0, pages 6-7, 73, 76.

photos by terry clough, ed bernik, sunforge studios

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