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Euler's Gem by David S. Richeson

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CHAPTER 6

KEPLERS POLYHEDRAL UNIVERSE

Johannes Kepler is one of the great watershed figures in the history of science: half his mind churned with medieval fantasies and the other half was pregnant with the beginnings of the mathematicized science that formed the modern world.—George Simmons1

During the period of Arabic mathematics, Europe was experiencing the darkness of the Middle Ages. Very few Europeans received a formal education; the great works of classical antiquity were all but forgotten; mathematical scholarship was almost nonexistent. Only the minimal teaching of geometry and arithmetic remained in monastic schools. For hundreds of years there were virtually no significant contributions made to the body of mathematics.

It was not until ...

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