Apollonius1a
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

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Math Circles:
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.

Activity Handouts

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Activity Guide

This guide looks at the activity in detail and goes into the history of the math.