Euler's Gem: The Polyhedron Formula and the Birth of TopologyHow a simple equation reshaped mathematics Leonhard Euler's polyhedron formula describes the structure of many objects from soccer balls and gemstones to Buckminster Fuller's buildings and giant all carbon molecules. Yet Euler's theorem is so simple it can be explained to a child. From ancient Greek geometry to today's cutting edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far reaching impact on