Saw a neat tweet from Matt Enlow yesterday:
The pictures on the bottom row reminded me of two fun projects that we’ve done.
This old Numberphile video featuring Harvard’s Barry Mazur discusses shapes similar to the bottom left picture:
Here’s the project that we did with that video:
The picture on the bottom right reminds me of a really neat geometry problem that I heard MIT’s Bjorn Poonen discussing. The problem starts with the circle inscribed in the center of the picture below and then ask some questions about higher dimensional versions of the same situaiton:
Here are my blog posts about that problem:
Finally, Enlow actually provided a fun extension of his tweet, too! This is a great geometry problem!