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Description
This programme uses models and animations to investigate a variety of plane maps of the earth.
Metadata describing this Open University video programme
Module code and title: M203, Introduction to pure mathematics
Item code: M203; 02; 1986
First transmission date: 1987
Published: 1986
Rights Statement:
Restrictions on use:
Duration: 00:25:00
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Producer: Jack Koumi
Contributors: Roger Duke; Colin Rourke
Publisher: BBC Open University
Keyword(s): Angles; Areas; Gnomonic; Great Circle; Lambert Horizontal; Mercator; Plane Maps (of the) Earth; Shortest Paths; Stereographic
Footage description: The programme uses models and animations to investigate a variety of plane maps of the earth. In the process, this provides a preview of some ideas from the Analysis and Topology Blocks of the Course. The first part of the programme shows that a correct (distance preserving) map (i.e. an Isometry) would also preserve shortest paths, angles and areas. The second part describes the construction of three maps, (Gnomonic, Lambert Horizontal, Mercator) each of which satisfies one of the above properties, but not the other two. Eventually, it is discovered that no map can satisfy any pair of these properties, thus proving that Isometry is impossible. The last part describes two maps (Stereographic and Great Circle) which represent the whole globe (except for a single point) without tearing.
Master spool number: HOU5755
Production number: FOUM276E
Videofinder number: 4094
Available to public: no