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poster

76

?

8.0

/32/

70

/5/

80

/2/

3.8

/388/

The 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. Through a combination of dialogue and exposition accessible to anyone who has some interest in mathematics, Outside In builds up to the grand finale: Bill Thurston's "corrugations" method of turning the sphere inside out.

poster

?

45

/2/

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.

poster

?

45

/2/

During the 1995 Summer Institute at The Geometry Center, a team of undergraduates, middle and high school mathematics teachers and Center staff developed curriculum materials supporting The Shape of Space video. The team developed a comprehensive curriculum, covering many areas related to the video. The following materials were selected for distribution based on their direct relevence to understanding the video itself.

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