I talk about clouds, broken neon signs, plasma balls, prime numbers, glass, cement, grids of colors and numbers until whomever I'm talking to begins to cry.
a very simple model of electrons in a mixed, sort of metal. The Xs and Os are electrons with spin up and spin down (the only two choices) and the +s and -s are the metal or insulators that mediate the interaction. Much like us, electrons want to be like their neighbors, but also don't want to change. It seems like it might have interesting behavior, but you'd be mistaken.
¯\_(ツ)_/¯
the fortran code on codeberg if you want to play around with it
the above is the numerical solution in fortran of a body, say, a planet orbiting under a central gravitational force using the symplectic Eulerian method which is surprisingly good, although not Runge-Kutta good. The yellow is an actual circle. The blue is the numerical simulation. I know what you are thinking, someone spent hours making an almost circle. What can I say, I have a lot of free time. the fortran code
My advisor, mentor and friend James Nearing wrote an excellent book of maths for physics students. He wanted it to always be available for free on the Internet, however the U Miami physics dept server is no more so here it is for you to enjoy. It is quite good. You can also buy a copy from Dover publishing from Amazon
Music: On soundcloud (doesn't work for some people) as mp3s if the above doesn't work Fun:

