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http://worldcat.org/entity/work/id/478545613

Outside in

Discusses the problem of turning a sphere inside out without creating sharp bends or creases, illustrating an application of turning points.

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  • "Making waves: a guide to the ideas behind Outside In"@en
  • "Making waves"
  • "Not knot & Outside in"@en
  • "Not knot ; Outside in : DVD and supplements"@en

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  • "Discusses the problem of turning a sphere inside out without creating sharp bends or creases, illustrating an application of turning points."@en
  • "Discusses the problem of turning a sphere inside out without creating sharp bends or creases, illustrating an application of turning points."
  • "Outside in explique l'étonnante découverte de Steve Smale en 1957 sur le retournement de la sphère, et discute du problème de retournement sans faire de coudes pointus ou de plis, avec applications comme illustration."
  • "Outside in: Discusses the problem of turning a sphere inside out without creating sharp bends or creases, illustrating an application of turning points."@en
  • "An 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. It demonstrates how valuable visualization can be in the communication of mathematics. With dialogue and exposition Outside In builds up to the finale -- Bill Thurston's "corrugations" method of turning the sphere inside out by using everyday analogies such as train tracks, belts, smiles and frowns, all richly animated and complete with sound effects."@en
  • "Not knot: A guided tour into computer animated hyperbolic space. It proceeds from the world of knots to its complementary space, what's not a knot. It shows the geometry of the knot complement, the space around the knot and then the viewer sees what it is like to "fly through' the hyperbolic space. The supplement contains the video script and provides further explanation."@en
  • ""This package includes a DVD of two award-winning computer animations of mathematical concepts and theorems, as well as supplementary material. 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. Outside In: This video 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-color booklet, Making Waves, includes a transcript of the movie's lively dialogue and expands on the explanations provided in the film. For the mathematically adventurous, 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"--From package folder."@en

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  • "Problems, exercises, etc"
  • "Educational films"@en

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  • "Outside in"@en
  • "Outside in"