Math 99 Fall 2025
Visualizing Mathematics
In the 8th meeting, we looked at "aesthetic measure" (quantifying beauty). Some of the
most important mathematicians have thought hard about that.
Then we looked at the math and examples of ray tracing. We finally looked at Gaussian
splats, which is spectacular.
- Only a few pictures taken from a bottle of water at
Pinnoccios and a few pictures of a Carnot machine in class were then experted as
Gaussian splats. It can deal even with transparent structures well:
- Here is a presentation from 2019 I made about Povray
- Here are some figures from Birkhoffs 'Ethetic measure", a course he gave here in 1933.
Birkhoff quantified