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Comprises a series of visual experiences from art and architecture. A ‘beholder’ superimposes her own geometric constructions on the scenes, which include buildings in Oxford and elsewhere. Some...
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...
Investigates the orbit-stabilizer theorem in group theory, and shows how this leads to the counting theorem, which is used to solve counting problems.
Investigates the isomorphism theorem in group theory, showing how the theorem can be used to identify quotient groups by finding suitable homomorphism.
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...
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...
Liquid crystal can be thought of as a fourth state of matter, between liquid and solid. The programme describes the three phases of liquid crystal: smectic, nematic and cholesteric. Friedrich Reinitzer’s...
Silicones can be tailored at the molecular level for a diversity of applications, including moulded silicone-based materials, adhesives, sealants, coatings and lubricants that are used in motor cars, in...
At 4.00am GMT on Christmas Day 1987 there was a pair of opposite points on the equator with equal temperatures. This was also true on Christmas Day 1986 and will be true at any time and date; it’s a...
Computer animation and a 3-D model of a perspectivity demonstrate that Euclidean, non-Euclidean and projective geometries are unified, and also distinguished by Klein’s view of each one as a space plus a...
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