While I am working during tonight's video chat, Andrew Gelman passes along a geometry puzzle https://statmodeling.stat.columbia.edu/2025/02/27/geometry-corner-i-got-no-intuition-about-this-one/
(https://statmodeling.stat.columbia.edu/wp-content/uploads/2024/10/image-1.jpg)
QuoteLet a, b, and c be the sides of a triangle.
Let p be perimeter of the triangle.
Let r be the radius of the largest circle that can be inscribed in the triangle, and let R be the radius of the circle through the vertices of the triangle.
Then all six numbers can be related in one equation:
2prR = abc.
Feel free to work on it when you want a distraction!