This programme looks at how all surfaces can be constructed geometrically from a few basic surfaces.
Module code and title: | M335, Studies in pure mathematics |
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Item code: | M335; 04 |
Recording date: | 22-04-1982 |
Published: | 1982 |
Rights Statement: | |
Restrictions on use: | |
Duration: | 00:23:10 |
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Producer: | Jack Koumi |
Contributors: | Graham Flegg; John Peters |
Publisher: | BBC Open University |
Keyword(s): | Connected sum; Three basic surfaces |
Footage description: | When surfaces are classified algebraically, in terms of "edge equations" it is clear that there are infinite numbers of surfaces. But what do they all look like geometrically? The programme shows that all of them (except the sphere) can be constructed geometrically from just three basic surfaces: the torus, the protective plane and the disc. The method of construction, the "connected sum", is explored with a variety of models and animations - with surprising results. Even more intriguing, are the shapes obtained when the programme goes on to show students, for the first time in the course, what every possible surface looks like. To accomplish this, several distortions are shown which would be almost impossible to visualise without animation. |
Master spool number: | HOU4007 |
Production number: | FOUM133F |
Videofinder number: | 976 |
Available to public: | no |