Euler's Gem

How a simple equation reshaped mathematics Leonhard Eulers polyhedron formula describes the structure of many objectsfrom soccer balls and gemstones to Buckminster Fullers buildings and giant all-carbon molecules. Yet Eulers theorem is so simple it can be explained to a child. From ancient Greek geometry to todays cutting-edge research, Eulers Gem celebrates the discovery of Eulers beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical ideas many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a whos who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorems development, Eulers Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.