This site is one of those rabbit-hole things that one dreams of stumbling upon when spelunking though the internet. I came across this several years ago when procrastinating in graduate school....

This site is one of those rabbit-hole things that one dreams of stumbling upon when spelunking though the internet. I came across this several years ago when procrastinating in graduate school. Personally, I find the connection between cellular automata and fractals spectacular, and I found the voice of the author especially engaging (wait til you get to the part about "cowsine"). Relatedly, Stephen Wolfram described a class of cellular automata, some of which have varying behaviors. In my procrastination I ended up writing a program to enumerate all of Wolfram’s automata. Some of the automata produce Sierpinski triangles.

Anyone else know of any deep-dive, but lighthearted explorations of esoteric subjects similar to this?

Anyone have experience with Mathematica or the Wolfram language?

Kinda related, there was a really interesting paper from early this year about electrons in a Sierpinski geometry. Essentially the electrons inherit the fractal nature of the system which is...

Kinda related, there was a really interesting paper from early this year about electrons in a Sierpinski geometry. Essentially the electrons inherit the fractal nature of the system which is really cool I think.

Most fascinating to me was the way the Tower of Hanoi was related to the Sierpinski Triangle even though the author says it's not a true analogue. In my field we use visual and manipulative models...

Most fascinating to me was the way the Tower of Hanoi was related to the Sierpinski Triangle even though the author says it's not a true analogue. In my field we use visual and manipulative models to stimulate children, even very young children, to play with and get intuitive exposure to higher math and science concepts.

The author has a rather flippant way of dismissing things that I think was partly sarcastic. The graph stuff is a bit of a stretch, though, as the same graph could be represented in ways that...

The author has a rather flippant way of dismissing things that I think was partly sarcastic. The graph stuff is a bit of a stretch, though, as the same graph could be represented in ways that visually have no similarity to the Sierpinski triangle. I don’t know enough about graph theory to say if there is something special about the graphical representation that the author chose, but I think that’s why the author dismisses it.

This site is one of those rabbit-hole things that one dreams of stumbling upon when spelunking though the internet. I came across this several years ago when procrastinating in graduate school. Personally, I find the connection between cellular automata and fractals spectacular, and I found the voice of the author especially engaging (wait til you get to the part about "cowsine"). Relatedly, Stephen Wolfram described a class of cellular automata, some of which have varying behaviors. In my procrastination I ended up writing a program to enumerate all of Wolfram’s automata. Some of the automata produce Sierpinski triangles.

Anyone else know of any deep-dive, but lighthearted explorations of esoteric subjects similar to this?

Anyone have experience with Mathematica or the Wolfram language?

Kinda related, there was a really interesting paper from early this year about electrons in a Sierpinski geometry. Essentially the electrons inherit the fractal nature of the system which is really cool I think.

Most fascinating to me was the way the Tower of Hanoi was related to the Sierpinski Triangle even though the author says it's not a true analogue. In my field we use visual and manipulative models to stimulate children, even very young children, to play with and get intuitive exposure to higher math and science concepts.

The author has a rather flippant way of dismissing things that I think was partly sarcastic. The graph stuff is a bit of a stretch, though, as the same graph could be represented in ways that visually have no similarity to the Sierpinski triangle. I don’t know enough about graph theory to say if there is something special about the graphical representation that the author chose, but I think that’s why the author dismisses it.