"Hyperbolic Cube"

Single sheet of Canford paper, wet-folded, 9" x 9" x 9", 2006.

Any art that you encounter has both a subjective and an objective dimension of perception, in which you perceive the work of art, and in which you read about other people's perception (buy sociology paper for these purposes). A Hamilton cycle on the cube has eight edges. Therefore, a regular octagon could be folded to mimic the path such a cycle traces on the cube. This piece represents a solution using folded concentric octagons, producing the illusion (?) of negative curvature. The piece was folded from a large regular octagon, approximately two feet in diameter. Concentric octagons were precreased, alternating mountain and valley folds. Then the model was collapsed and wet-folded to hold the cube Hamilton cycle shape.

Thomas C. Hull, Associate Professor of Mathematics, Western New England College
Springfield, MA

"I've been practicing origami almost as long as I've been doing math. Part of the charm of paper folding is its capacity for simple, elegant beauty as well as stunning complexity, all within the same set of constraints. This mirrors the appeal of mathematics quite well. Geometric origami, which is where most of my artwork lives, strives to express in physical form the inherent beauty of mathematical concepts in geometry, algebra, and combinatorics. The constraints that origami provides (only folding, no cutting, and either one sheet of paper or further constraints if more than one sheet is allowed) challenges the artist in a way similar to being challenged by a mathematical problem."