TY - BOOK AU - Richeson,David S. ED - ebrary, Inc. TI - Euler's gem: the polyhedron formula and the birth of topology AV - QA611.A3 R53 2008eb U1 - 514.09 22 PY - 2008/// CY - Princeton, N.J. PB - Princeton University Press KW - Topology KW - History KW - Polyhedra KW - Electronic books KW - local N1 - Includes bibliographical references and index; Leonhard Euler and his three "great" friends -- What is a polyhedron? -- The five perfect bodies -- The Pythagorean brotherhood and Plato's atomic theory -- Euclid and his elements -- Kepler's polyhedral universe -- Euler's gem -- Platonic solids, gold balls, Fullerenes, and geodesic domes -- Scooped by Descartes? -- Legendre gets it right -- A stroll through Königsberg -- Cauchy's flattened polyhedra -- Planar graphs, geoboards, and brussels sprouts -- It's a colorful world -- New problems and new proofs -- Rubber sheets, hollow doughnuts, and crazy bottles -- Are they the same, or are they different? -- A knotty problem -- Combing the hair on a coconut -- When topology controls geometry -- The topology of curvy surfaces -- Navigating in n dimensions -- Henri Poincaré and th ascendance of topology -- The million-dollar question; Electronic reproduction; Palo Alto, Calif.; ebrary; 2013; Available via World Wide Web; Access may be limited to ebrary affiliated libraries UR - http://site.ebrary.com/lib/daystar/Doc?id=10480678 ER -