Circles and hyperbolas are, in a sense, surprisingly similar shapes. In this video, we explore the mystery behind their strange connection and step into a world of “rotation” and “angle” with meanings quite different from the usual ones. The key to this story lies in hyperbolic functions, which share many properties with trigonometric functions.

This video was really helpful in understanding the hyperbolic functions! Was happy to see that a connection I saw to spacetime is actually an application of them.

Ben Sparks explores hidden depths of a seemingly simple game.

Tic-tac-toe on a magic square. Hella neat, and hammers home how important representation is in mathematics.

Ed Copeland goes deep as we explore how we cracked an infinite sum relating to black holes.

Lots of great techniques.

Ed Copeland continues from the main video

Lots of great techniques.

Not really sure where this video came from, I came downstairs in the morning and it was already fully uploaded. Dan doesn’t know anything about it either. Doesn’t seem like it’ll get me in trouble though so F it, we’ll let it rock. Weirdly enough it sounds like he’s listening to Shoegazer Watched The Stars from NMH2 for most of the video. With a brief appearance by 1811 from Lost Judgement.

Absolutely hilarious.

Merging the Trump and CHH personas together: How would I talk about my Substack if I were Trump? / This 15-minute, one-take improvised Trump impression brought to you by mental illness.

This has no right to be this good.

Let’s learn and grow. New things are cool!

Simple economic arguments for why solar, batteries, and other renewable energy technologies are possible RN and clearly the future.

And then some much needed discussion of politics.

The Game Awards 2025 sparked yet another round of indie discourse with Expedition 33‘s historical sweep causing many to ask what does it actually mean for a game to be “indie”?

The pain of semantic drift.

The tsundere is a well-known anime trope, that many people still love to this day. But something happened to it since its inception, and I want to talk about that.

The “database” is a very interesting comparative media concept; will keep it in mind.

Waifus are a very well-known part of anime culture. So many have strong opinions on them, and yet very few know the full story.

Great way of explaining this classis paradox in analysis using uniform convergence.

One of most people’s biggest complaints about anime is the abundance of fanservice. But what is it? And is it always bad? Let’s take a deep dive into anime fanservice and find out.

This is a good video, and I especially appreciate its sex-positivity, but I do wish the author applied more of a feminist lens. People reacting poorly to fanservice as a concept goes far beyond it being utilized poorly and Puritanism, me thinks.

A viral tweet made me curious about looking into the history of fanmade adult content, and I ended up diving into a rabbit hole that goes further than you could ever expect

via: https://youtu.be/yUVWXyNkR2I

On April 7th, 2013, history was made.

So even Yu-Gi-Oh! is capable of Magic-like shenanigans.

The hook is way too good.

via: https://nebula.tv/videos/notdavid-are-men-actually-lying-about-heights-on-dating-apps/

Talk from the Roguelike Celebration 2018

Very nice software architecture talk. Patterns discussed: composition over inheritance, type objects, commands/actions.

Meadow Elementary Science Fair 2023 Bronze Medal!

The Pauli matrices are used to study the angular momentum of spin-1/2 particles.   I won’t merely tell you what they are: I’ll work them out from scratch, and in the process we’ll learn a bit about what ‘observables’ are in quantum physics.

The physics and math of spin-1/2 particles: how states of a spin-1/2 correspond to points on a sphere.