|
|
I explore extending Pascal's Triangle to 3 and 4 dimensions.
2025LinkAs an undergrad, I made a snake game for Windows and Linux where the snake is on a real projective plane. This was meant to be a little educational, but mostly for fun.
2010LinkWe’re all too familiar with the normal distribution. But why? One may answer that the normal distribution shows up empirically very often. Someone else may answer that the normal distribution plays an important role in the central limit theorem. But I’d argue that the most special thing about normal distributions is their stability, and that these other properties are owing to the stability.
2023LinkIn this post, I make new trig-like functions using threes. I call them threegonomic functions. These functions have no obvious use, but they’re fun and their construction may help us appreciate the usual trig functions.
2023LinkWe can talk about probability with a shared understanding. But what does it mean to say the odds of rolling a 4 is 1/6? The exact meaning is a little difficult to say. In this blog, I’ll talk about the formal interpretation of probability, why it matters, and why interpreting is difficult.
2022LinkThis article is on “half derivatives,” defined within. Though there are lots of ways to talk about this topic, I’ve chosen to structure this to touch on a few math topics, making potentially surprising connections.
2020Link