Euler's gem : the polyhedron formula and the birth of topology - Richeson (Princeton, N.J.: Princeton University Press, 2008)
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 Kn̲igsberg -- Cauchy's flattened polyhedra -- Planar graphs, geoboards, and brussels sprouts -- It's a<U+000d><U+000a> 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 Poincar ̌and th ascendance of topology -- The million-dollar question
FAS
Includes bibliographical references (p. [295]-308) and index
Keywords: Topology -- -- History; Polyhedra