The Princess and the Philosopher

The legacy of René Descartes should include the contributions of his student, Elisabeth of Bohemia, in the development of his ideas.

Mathematics

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March-April 2023

Volume 111, Number 2
Page 80

DOI: 10.1511/2023.111.2.80

Thirteen years ago, I wrote an article for American Scientist called “A Tisket, a Tasket, an Apollonian Gasket” (January–February 2010), which explored the fascinating mathematics and history behind a certain type of fractal foam—the “Apollonian gaskets” of the title. Recently, I’ve begun to see that history itself is like a fractal: When you take even the smallest event and magnify it, it springs to life and turns out to have a whole story of its own.

QUICK TAKE
  • René Descartes’s correspondence with Princess Elisabeth of Bohemia may seem like a historical footnote, but their letters reveal her integral role in the development of his ideas.
  • Princess Elisabeth pushed Descartes to work his solution to the classical Apollonian circle problem through to the end. That exercise resulted in Descartes’s circle theorem.
  • Reexamining the origin stories behind big ideas can complicate our understanding of how theories develop and lead us to reevaluate whom we lionize in the history of innovation.
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