I sewed a button back on for the first time in many years.
Archive: June 2025
the logistic map, audio version
I've been making audio versions of the logistic map. The idea I'm using is to create a sound such that its spectrogram looks like the bifurcation diagram of the logistic map. So far I've made two versions.
The second version is lower in pitch, has panning according to pitch (lower pitch more left, higher pitch more right), gets louder when there is "more" chaos, and more quickly reaches the first bifurcation.
new dice problem collection addition
Not much of an addition, but I added some probabilities related to the game Can't Stop (which I only learned about recently) to the collection (see problem 73). I calculated these with some simple code to run through all 1296 possibilities, very straightforward. The game is very complicated; see, e.g., this paper by James Glenn and Christian Aloi. I'm not sure what problems related to the game I might add, but I wanted to get these probabilities added for my own curiosity and in case anyone else is interested.