Available online
Description
This programme uses models and animations to investigate a variety of plane maps of the earth.
This programme uses models and animations to investigate a variety of plane maps of the earth.
| 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 |
| + Show more... | |
| 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 |
