The Ben Paul Thurston Blog

If you have a graph like: Note that some of the edges are weighted, one vertex connects to itself, and one connection can cross another. ...

I found this nice relationship between the unit circle and a distribution I name in the picture... In words it is a distribution that i...

I found a rough correspondence between the formula under the Consider: and Pascal's triangle... I tried a few different rows and...

A video I made with some of my art and math set to a song I made.

Maple surprised me when I asked it to graph this: It's provable pretty easily from Euler's formula: e^(pi*i)=-1 (e^(pi*i))^x...

This substitution for x in an integral: which has a graph of: Makes this relationship true: For example say f(x) was 1/...

This shows how to get a lens effect from mirrors, they're shown as straight lines but they would actually be slightly concave so rays ot...