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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...
An Open University programme using optics and geometry to investigate the rainbow. Over the years the rainbow has fascinated theologians and philosophers alike. Both groups have suggested many reasons for...
Introduces the idea of affine geometry and looks at different aspects of it use. In three sections: 1: Introduces two theorems about ellipses - the midpoint theorem and the conjugate diameters theorem. Shows...
Explores the nature of non-Euclidan geometry, beginning by looking at the toy known as the Euclidean kaleidoscope and moving on to explaining the properties of non-Euclidean geometry. Then explains the...
A videoconference held 25 March 1993 considering chaotic synamical systems and fractal geometry, which are revolutionary new mathematical concepts with a wide impact in all areas of science and entineering....
Shows computer-graphic illustrations of chaos and self-similarity, accompanied by music composed according to fractal principles, thus presenting the Mandelbrot set, Julia set and the Lorenz attractor as...
Relates to the course textbook. Looks at how to generate realistic images with computer graphics and how to modify reality in a computer model. Section 5.1 HIDDEN SURFACE REMOVAL, RAY TRACING AND SHADOWS,...
Euclid’s ‘Elements’ is one of the world’s most reprinted books. How did it come about and why does it remain a classic textbook? Examines the 13 books in detail starting with the idea of proof.
During the 18th and 19th centuries mathematicians were increasingly questioning the foundations of geometry. Shows how investigations led to the development of non-Euclidean geometry, discussing the work of...
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