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Don Relyea's Blog
I like to write about interesting art projects,
so give me a heads up if you have new project
and I'll write about it.
Don Relyea
email:
don(at)donrelyea.com
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Tue, 23 May 2006
Hilbert Cube by Carlo Sequin
By now it should be no secret that I am an admirer of Hilbert curves. So when I find other artists and mathematicians using them
to create images or three dimensional forms, naturally I get excited.
This Hilbert Cube by Carlo Sequin is fantastic. Better still, it was printed out in 3d using some kind of new 3d rapid prototyping machine, excellent! Where can I get my hands on one of those?
"Hilbert Cube" Stainless steel and bronze alloy, 5 inch cube, 2005
"Hilbert Cube" is a space filling recursive curve in 3 dimensions in analogy to the famous Hilbert curve in the plane. Special care has been taken to never place more than three coplanar line segments in sequence. At the largest recursion step the geometry has been slightly altered so as to obtain a closed loop.
Carlo H. Sequin is a professor of Computer Science at the University of California, Berkeley. He received his Ph.D degree in experimental physics from the University of Basel, Switzerland in 1969. From 1970 till 1976 he worked at Bell Telephone Laboratories, Murray Hill, N.J., on the design and investigation of Charge-Coupled Devices for imaging and signal processing applications. In 1977 he joined the faculty in the EECS Department at Berkeley, teaching courses in integrated circuits, computer-aided design, and computer graphics. He is a Fellow of the ACM, a Fellow of the IEEE, and has been elected to the Swiss Academy of Engineering Sciences.
Sequin says, "The artistic achievement lies in finding a procedural formulation that can reflect the inherent symmetries and constructive elegance that seems to lie beneath the physical laws of our universe."
You can read more on Sequin in Anne Burns' essay.
Essay excerpt courtesy of Anne Burns -- Professor of Mathematics Long Island University
Web site of Carlo Sequin
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