Made them for Teachers' Day, specifically for the math and physics teachers. Hope they'll try to arrange them in the non-repeating pattern before eating them.
Took me 5.5h to make, including cutting by hand using a cutout paper shape..
I wanna sleep (i have to wake up in 1h)
I made this animation of the quantum harmonic oscillator, including the connection between its derivations and the shapes of its states.
The mathematical structure is a Gaussian envelope multiplied by a Hermite polynomial. Normalizability selects the allowed energy levels, while ladder operators connect neighboring states. An individual energy eigenstate changes phase without changing its probability density; superpositions introduce interference, and a coherent state gives a localized packet whose center oscillates.
The video builds those ideas visually, starting from both the power-series and operator derivations. It assumes calculus and introductory quantum mechanics; the full explanation is about 13 minutes.
Hey,
Just wanted to share a little project. Not claiming any crazy math proof here, just a representation of Collatz using **balanced ternary** (`+`, `o`, `-`) instead of normal binary or base-10.
Because of how balanced ternary works, you can basically bypass normal CPU math and run the operations as simple text replacement rules on a string.
How it works:
Piped the output through `sed` to colorize the trits (`o` = green, `+` = white, `-` = red) so it generates a neat cellular automaton history grid in the terminal as it collapses down to 1.
The photos are seeds of 100, 2^(31) -1, and 27 respectively
Just a cool toy. Let me know what you think or if anyone else has messed with block decomposition for base-3 halving.
A 3D Menger Sponge : infinite surface area, zero volume