新年好, everyone! It was Chinese New Year on Monday, starting the year of the monkey. I didn’t really pay attention last year, so I didn’t know that it had been the year of the goat. I also wasn’t aware until just now when I looked it up that next year will be the year of the rooster.
You're reading: Main
Open Season: Pancake Flipping
In this series of articles, I’m writing about mathematical questions we don’t know the answer to – which haven’t yet been proven or disproven. This edition is a topical one, for Pancake Day (Shrove Tuesday, celebrated in the UK this year on 9th February).
Some of the best mathematical teasers are those which originate in a real-world problem – although the problem for pure mathematicians is that that happens much less often than it does for applied mathematicians, who are presented with interesting real-world problems all the time. That’s why it’s especially nice when a more pure one pops up, and that’s exactly what happened to mathematician Jacob E Goodman, back in 1975.
GCHQ Christmas puzzles winners and solutions announced
Before Christmas, the benign megasurveillance bods at GCHQ released a set of festive puzzles, in the form of a Christmas card and associated website. An initial nonogram puzzle led to a sequence of increasingly fiendish teasers, and solvers of the final set of puzzles were invited to email in their answers, with the correctest winning a fancy paperweight, signed book and, GCHQ were at pains to stress, not an Imitation-Game-style secret job offer.
Relatively Prime Recap: Season 2, Episode 5: Other Duties As Assigned
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.
Relatively Prime Recap: Season 2, Episode 4: Diegetic Plots, Chapter 1
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!
Review: Pythagoria
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.
Learning to play Go: computer edition
In a remarkable example of us being psychic (or, what’s also known as ‘a coincidence’), our recently posted introduction to the game of Go has been made more topical by actual Go-related news.
The game of Go has long been considered a difficult game for artificial intelligences to play – much more so than chess, which has plenty of computer players. A Wired article from 2014 describes Go as ‘the ancient game that computers still can’t win’. As well as having a much larger set of possible games ($10^{761}$, as opposed to $10^{120}$ in chess), Go also has highly complicated strategy, compared to its simple rules, and moves made early on in the game can result in important changes to the state of the board further down the line.