Download Gems of Geometry by John Barnes PDF

By John Barnes

Based on a chain of lectures for grownup scholars, this full of life and pleasing e-book proves that, faraway from being a dusty, uninteresting topic, geometry is in reality packed with attractiveness and fascination. The author's infectious enthusiasm is positioned to take advantage of in explaining a number of the key ideas within the box, beginning with the Golden quantity and taking the reader on a geometric trip through Shapes and Solids, throughout the Fourth measurement, completing with Einstein's Theories of Relativity.

Equally compatible as a present for a teen or as a nostalgic trip again into the realm of arithmetic for older readers, John Barnes' e-book is the best antidote for somebody whose maths classes in school are a resource of painful thoughts. the place as soon as geometry used to be a resource of bewilderment and frustration, Barnes brings enlightenment and entertainment.

In this moment variation, inspired by means of contemporary lectures at Oxford, extra fabric and additional illustrations were additional on many issues together with colored Cubes, Chaos and Crystals.

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Extra resources for Gems of Geometry

Example text

Two further patterns can be formed out of triangles and squares. Both have three triangles and two squares at each point but arranged in a different order. That on the left above is curious because it is so obviously different in the two directions whereas the other patterns are not. That on the right looks at first sight like an incoherent mess. It also looks as if it would be different if reflected in a mirror; but this is not so. The reflected version is just the same as the original but slightly rotated.

38 Gems of Geometry Object Sequence Tetrahedron Cube Octahedron Dodecahedron Icosahedron point, point, point, point, point, Object Sequence Tetrahedron Cube Octahedron Dodecahedron Icosahedron triangle, point square triangle, hexagon, triangle pentagon, decagon, pentagon triangle, 9-gon*, dodecagon*, 9-gon*, triangle triangle triangle, hexagon, triangle, point square, point triangle, hexagon, triangle, point pentagon, decagon, pentagon, point Vertex first. Face first. Passing through Flatland, vertex and face first.

When the Sphere first approaches Flatland it appears just as a Point which grows into a Circle and then shrinks again as the Sphere goes away. The Flatlanders cannot believe their eyes at this inexplicable phenomenon. Another aspect of this book is that it is amazingly politically incorrect. The male inhabitants are geometrical figures. The working classes are isosceles triangles and the angle at the apex distinguishes their skills. A very sharp angle indicates a very lowly person indeed. The middle classes are regular figures with rank according to the number of their sides.

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