Goff, Christopher. (2020). A Problem Fit for a Princess: Apollonian Gaskets in History. In S. Kohli (Ed.), Math Circle Activity Database. American Institute of Mathematics. https://mathcircles.org/activity/a-problem-fit-for-a-princess-apollonian-gaskets-in-history
A Problem Fit for a Princess: Apollonian Gaskets in History
The examination of an MTC logo takes us on a journey starting over 2,000 years ago in ancient Greece, passing through seventeenth century Bohemia, moving through twentieth century fractals, and ultimately forming the focus of this problem-solving session. Explore the Circles of Apollonius, the question posed by Princess Elisabeth of Bohemia to René Descartes, and Apollonian Gaskets.
This session is also suitable for a high school math circle or classroom.