Outside In/Not Knot

Synopsis
This package includes a DVD of two award-winning computer animations of mathematical concepts and theorems, as well as supplementary material.

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. Stunning computer animation combined with accessible dialogue and exposition builds up to the grand finale - Bill Thurston’s "corrugations" method of turning the sphere inside out. The accompanying four-colour booklet, Making Waves, includes a transcript of the movie’s dialogue and expands on the explanations provided in the film. The booklet also includes an article by Bill Thurston himself, on how the method of corrugations can be applied to similar problems in any dimension. (20 minutes)

NOT KNOT - This animation is a guided tour into computer-animated hyperbolic space. It proceeds from the world of knots to its complementary space, what’s not a knot. Profound theorems show that most knot complements carry the structure of hyperbolic geometry. The video shows the geometry of the knot complement, the space around the knot, changing into hyperbolic space, and then you see what it is like to "fly through" hyperbolic space. Each new viewing will produce questions or answers to previous questions. (16 minutes)
Language
English
Country
Great Britain
Year of release
2009
Year of production
1992
Notes
NOT KNOT was reviewed by David Epstein in New Scientist (3 Aug 91), p34-5.
Subjects
Mathematics
Keywords
Borromean rings; geometry; knots; spheres; Thurston conjecture; topology

Distribution Formats

Type
DVD
Format
Region 1 NTSC
Price
$39.00
Availability
Sale
Duration/Size
20, 16 minutes
Year
2011

Production Company

Name

University of Minnesota, Geometry Center

Distributor

Name

Peters (A K) Ltd

Email
service@akpeters.com
Web
http://www.akpeters.com External site opens in new window
Phone
+1 781 416-2888
Fax
+1 781 416-2889
Address
888 Worcester Street, Suite 230
Wellesley, MA 02482
USA

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