Blog > What is the Maximum Possible Area of 3 Circles in a Triangle?

What is the Maximum Possible Area of 3 Circles in a Triangle?

March 13th, 2024

After a 3-year hiatus, I’m back making math videos, not least of all thanks to my new fancy-schmancy basement studio:

This time I’m trying this crazy technique called “editing”, rather than just recording myself and dumping raw video footage online (which, believe it or not, is what I did for my previous videos – those were all recorded “live”). My first new video is now up, which investigates the problem of how to place 3 non-overlapping circles in a triangle so as to cover as much area as possible (a problem that is often incorrectly thought to have the Malfatti circles as its solution):

I used Manim for the triangle and circle animations and Capcut to edit everything together. I’m going to aim for one video per week or so, and hopefully will be able to put together a decent Applied Calculus playlist this summer.

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