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Martin Bridson, Head of the Oxford University Mathematical Institute, explains why an understanding of possible dimensions is impossible beyond the third dimension. When describing the symmetries of any...
Investigates the idea of symmetry of three-dimensional objects and develops a strategy for counting the symmetries of the five so-called ‘Platonic solids’. This strategy is used to check the results for...
Defines and explains the concept of symmetry and discusses the different types of symmetry and their relevance to chemistry. Covers: symmetry operations, symmetry elements, identity operations, rotations,...
A compilation of S247 television programmes, plus some new material. [See synoposes for individual programmes for details of content.]
Looks at the regularity and symmetry found in some three-dimensional shapes, in particular the Egyptian pyramids, the five platonic solids and the standard football design. Shows the proof of Euler’s...
Examines the different types of patterns in the decorations of the walls of the Alhambra Palace in the finest tradition of Moorish Spain. Shows that most of the patterns are repetitive and may therefore be...
Support for course units GE/GR 3 and 4. Discusses the five lattice types: hexagonal, parallelogram, rectangular, square and rhombic and illustrates them using computer graphics and animations. Altogether 12...
Support video for course T204, in two parts: 1) Symmetry (produced by Cameron Balbirnie, 19 min): considers formal symmetry patterns in the streets of Notting Hill, London, and symmetry as a result of...
Uses a variety of graphics sequences, animations and three-dimensional models to establish a geometric characterisation of ‘conjugacy’. Specifically, it is proved that two elements of a symmetry group...
1 (15 min): Close-up photography of colour reactions and colour of metal ions in solution. Titanium dioxide, tetrachloride, and reduction of titanium IV to III. Manganese ions from II to VII, and oxidation...
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