There really isn’t enough silliness in maths. Samuel has tried to inject some throughout the series, sometimes more successfully than others. This is the episode where he finally nails the silliness.
Diegetic Plots, Chapter 2 is a nice finale to a generally good season of Relatively Prime. Dealing with sketches and haiku from the mathematical domain, we get a glimpse of the daft side of maths.
I’d have written it as $r = 1 – \theta$, myself, but even then it’s not much of a heart. However, that’s pretty much my biggest gripe about this episode, the penultimate in series 2 of Samuel Hansen’s one-of-a-kind mathematics podcast, Relatively Prime.
Episode 7 is subtitled “Dating in the mathematical domain”, and looks at the maths involved in dating and relationships, and begins with some of the comments Sam’s dating profile received from non-mathematicians. Now, denizens of the dating world: Samuel has many flaws and failings; picking on the fact that he’s a mathematician seems a little arbitrary and unfair, like deciding not to vote for Donald Trump because you don’t like his tie. I have this unfamiliar sensation. Could it be… surely not? It appears that I feel a little sorry for Samuel. Don’t tell him, ok?
I’ve been looking forward to this one: cities in the mathematical domain. This is the kind of applied maths I can really get behind.
Samuel starts with Mike Batty of University College, London’s Centre for Advanced Spatial Analysis discussing how cities grow and organise themselves. The structure is frequently fractal; how does one calculate the dimension of a city?
From a top-level view of cities, he moves on to a low-level description of one of the biggest problem in cities: traffic (another thing that fascinates me). We get a glimpse of traffic waves, and the unfairness that the person responsible for the average jam doesn’t suffer from the effects. And we learn that Gábor Orosz (University of Michigan) tests his hypotheses using robots as well as simulations.
For about 40 minutes of this week’s episode of Relatively Prime (Number 5 of 8, already? Good heavens!), Samuel Hansen looks like he’s managed to escape from his shameful, borderline criminal, past in Las Vegas. But he’s pulled back in for one last job, which is a debacle, of course.
On top of the usual disclosures, I should add that Dave Gale and I interviewed Samuel Hansen this week for our Wrong, But Useful podcast, which you might like to listen to for a deeper insight into Samuel’s brain.
During the conversation, he warned me I wouldn’t like Episode 4 of the new Relatively Prime, “Diegetic Plots, Chapter 1”. I don’t know if that was expectation management or an elaborate double bluff, but the joke’s on you, Hansen: I jolly well did like it, so there!
Pythagoria is a puzzle game for PCs. It’s the same idea as Naoki Inaba’s Area Maze: you’re shown a geometric construction, not drawn to scale, and you have to work out a missing length or an area.
Each puzzle is constructed so that it can be solved without ever dealing with fractions, though what exactly that means is up for debate. Whatever it means, it keeps you from breaking out pen and paper to solve a problem algebraically, when you know there should be a way of doing it in your head.