"Defying Gravity"

White ABS plastic, (FDM) 5"x5"x7.5"tall, 2004.

Two criss-crossing chains displaying the classical catenary shape, but standing up rather than hanging down -- thus defying gravity.

"Klein Bottle with Fig-8 Cross Section"

Woven paper strands, 16" tall, 1997.




Klein bottles come in two topologically different kinds: the well-known "sock turned inside out" and the one produced by sweeping a cross section in the shape of a figure-8 around a loop while giving it a twist of 180 degrees; this is a woven model of the latter one.

"Solstice II"

Print of a computer model, 16"x16", 2009.

A program has been written to emulate some of the tubular sculptures created by Charles Perry. This print shows a variant of his sculpture "Solstice," which is based on a (3,2) torus knots. The basic knot, formed by the thick rail, is straddled with 300 lightly curved ribs.

"Regular Maps on Cube Frames"

Paper models, 4"x4"x4" each model, 2009.




A small set of regular maps, all embedded in a genus 5 surface in the form a of a cube frame. in particular, the models are:
(a) map R5.1, consisting of 64 triangles, based on tessellation (3,8)
(b) map R5.1_dual, consisting of 24 octagons, based on tessellation (8,3)
(c) map R5.4, consisting of 24 quadrilaterals, based on tessellation (4,6)
(d) map R5.4_dual, consisting of 16 hexagons, based on tessellation (6,4)

Carlo H. Séquin, Professor of Computer Science
EECS Computer Science Division, University of California, Berkeley
Berkeley, USA

"My professional work in computer graphics and geometric design has also provided a bridge to the world of art. In 1994 I started to collaborate with Brent Collins, a wood sculptor, who has been creating abstract geometrical art since the early 1980s. Our teamwork has resulted in a program called “Sculpture Generator 1” which allows me to explore many more complex ideas inspired by Collins’ work, and to design and execute such geometries with higher precision. Since 1994, I have constructed several computer-aided tools that allow me to explore and expand upon many great inspirations that I have received from several other artists. It also has resulted in many beautiful mathematical models that I have built for my classes at UC Berkeley, often using the latest computer-driven, layered-manufacturing machines. My profession and my hobby interests merge seamlessly when I explore ever new realms of 'Artistic Geometry'."