Available online
Description
This programme explores permutations arising from symmetries of the double tetrahedron.
This programme explores permutations arising from symmetries of the double tetrahedron.
| Module code and title: | M203, Introduction to pure mathematics |
|---|---|
| Item code: | M203; 01D; 1995 |
| First transmission date: | 1991 |
| Published: | 1995 |
| Rights Statement: | |
| Restrictions on use: | |
| Duration: | 00:24:07 |
| + Show more... | |
| Producer: | Jack Koumi |
| Contributors: | Alan Best; Robin Wilson |
| Publisher: | BBC Open University |
| Keyword(s): | Cayley table; Isomorphism; Permutations; Symmetries |
| Subject terms: | Geometry, Projective; Group theory; Mathematics; Representations of groups; Symmetry groups; Symmetry |
| Footage description: | The programme is presented by Alan Best and Robin Wilson. They use Models and Computer Animations to explore permutations arising from symmetries of the "double tetrahedron". For example, each symmetry permutes the five vertices. At the same time, it permutes the six faces; also the nine edges. So, in the Symmetry Group of this object, permutations arise naturally. The programme goes on to prove Cayley's Theorem that even finite group is isomorphic to a permutation group. |
| Master spool number: | HOU8018 |
| Production number: | FOUM475N |
| Videofinder number: | 3779 |
| Available to public: | no |
