Video Productions:

Not Knot

Not Knot is a guided tour into computer-animated hyperbolic space. It proceeds from the world of knots to their complementary spaces -- what's not a knot. Profound theorems of recent mathematics show that most known complements carry the structure of hyperbolic geometry, a geometry in which the sum of three angles of a triangle always is less than 180 degrees.

Audience: Anyone with an interest in mathematics. Children and teenagers are attracted by the graphics and the narration, while advanced mathematics undergraduates and graduate students will appreciate the mathematical implications.

Distributed by: A K Peters.

Outside In

The award-winning computer animation Outside In explains the amazing discovery, made by Steve Smale in 1957, that a sphere can be turned inside out by means of smooth motions and self intersections, without cutting or tearing. It convincingly demonstrates how valuable visualization can be in the communication of mathematics.

Audience: Anyone with an interest in mathematics. Children and teenagers are attracted by the graphics and the dialogue, while mathematics undergraduates and graduate students will appreciate the mathematical implications.

Distributed by: A K Peters.

The Shape of Space

Through computer animations and fly-throughs, The Shape of Space explores the possible shapes of our universe. It suggests the possibility of a finite but boundless shape for our space. Using objects such as spheres, cylinders, and Möbius stripsas possible shapes for a two-dimensional universe, The Shape of Space investigates corresponding three-dimensional shapes, and encourages the viewer to imagine how our universe could be formed by one of these.

Audience: Anyone with an interest in mathematics; particularly aimed at students from junior high school through college.

Distributed by: Key Curriculum Press.

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Created: Sep 25 1995 --- Last modified: Wed Sep 27 18:01:54 2000