Archimedes the Geometer
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Archimedes was a physicist, engineer, mathematician, and astronomer—but above all he was a geometer. He requested that the geometric result he was most proud of—that first revealed the volume and surface area of a sphere—be inscribed on his tombstone. This result is now known as his Tombstone Theorem and here we present a variety of extensions and generalizations of it for the 21st century.