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Topology Films Project
In the years from 1970 through 1977, the Topology Films Project, directed by Nelson Max and supported by the National Science Foundation, produced several computer animated films on topology, a branch of mathematics. Three of the longer films and three of the shorter films are included in this collection. The original printing negatives for these films have been lost, and the videos here were produces from somewhat scratched 16mm film prints, with uneven sound. The printing negative for the fourth longer film, "Turning a Sphere Inside Out", was resurrected, and a video is available for sale...
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Recent Episodes
Three segments: A) "Volume Filling Surfaces": three dimensional analog of the Sierpinski curve in the "Space Filling Curves" video, a limit surface which fills up a cube. The viewpoint moves closer to the center of the cube as the approximating surfaces become more complicated, producing a...
Published 07/07/12
Published 07/06/12
This video defines the meaning of a regular curve (a smooth closed curve) in the plane, and the rules for a regular homotopy between regular curves. It then defines the rotation number of a regular curve, and proves that there is a regular homotopy between two regular curves only if they have the...
Published 07/06/12
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