Proof Without Words: The Maximum Sum of Inradii
The College Mathematics Journal
Using the Japanese theorem on cyclic polygons, we visually show that the sum of inradii in a triangulation of a regular polygon approaches the diameter of the circumcircle as the number of sides tends to infinity.
Richeson, David. "Proof Without Words: The Maximum Sum of Inradii." The College Mathematics Journal 46, no. 1 (2015): 23. https://www.tandfonline.com/doi/abs/10.4169/college.math.j.46.1.23