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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...
A compilation of S247 television programmes, plus some new material. [See synoposes for individual programmes for details of content.]
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...
Models and computer animations are used 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...
Lecturer Sidney Kettle discusses the more important aspects of symmetry and explains how an appreciation of the symmetry properties of molecules helps to an understanding of their chemistry.
Asymmetry, dissymmetry, and chirality; configuration; the use of perspective and projection ('saw-horse’, Newman, and Fischer) formulae for the representation of 3-dimensional structures in two dimensions....
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