Bravo for bringing the notes. On a first glance, some of these feel like they require subjectivity (like, do we really believe the political spectrum is 1d?), but I agree I could run the computation myself from this.

I'm a little sad nobody with the relevant mathematics background has jumped in. These puzzles are considered; a simple version is the lion-hunting-man where both have the same speed and infinite turning speed (eg, this paper, where the arena they play in varies).

I think this is the proper way to treat games that you're done developing. My only requests might be:

• Adding a way to self-host an instance (with mod tools)
• Open sourcing (so the community can fix their own bugs)

to anyone who understand this behavior - what's the man trying to do here? Is there any charitable read? Having a hard time imagining it.

I mean... missiles are the most direct 'degrowth' implementation I've seen.

Favorite so far was probably Talos Principle 2. It was excellent, best movie of the year. And the puzzles were fun too.

It's very weird to me that you're only listing loud things children do... Like, have you ever been around a sleeping child? Do they bother you? What about in a classroom, watching a movie, or running in the distance (out of earshot)?

Average volume of a child is higher than adults, but only by a factor of 2 or so. And their noises are interpretable, you can definitely figure out what they mean, unlike the adult noises.

Make a New Year's Theme instead - CGP grey had a video on this. Then, when the first things you try related to the theme fail (or feel bad, or don't make sense anymore), pick something else in the theme and try that instead.

Productivity themed year got me to:

• Learn AutoHotkey
• Setup a central collection of notes
• Use a calendar app properly
• Finish several (profession related) books
• Track my internet time

and more! And, for maybe the first time, I finally feel like I did something with this whole resolution thing.

An arithmetic miracle:

Let's define a sequence. We will start with 1 and 1.

To get the next number, square the last, add 1, and divide by the second to last. a(n+1) = ( a(n)^2 +1 )/ a(n-1) So the fourth number is (2*2+1)/1 =5, while the next is (25+1)/2 = 13. The sequence is thus:

1, 1, 2, 5, 13, 34, ...

If you keep computing (the numbers get large) you'll see that every time we get an integer. But every step involves a division! Usually dividing things gives fractions.

This last is called the somos sequence, and it shows up in fairly deep algebra.

I now recall there was a numberphile with exactly that visualisation! It's a clever visual

For the uninitiated, the monty Hall problem is a good one.

Start with 3 closed doors, and an announcer who knows what's behind each. The announcer says that behind 2 of the doors is a goat, and behind the third door is ~~a car~~ student debt relief, but doesn't tell you which door leads to which. They then let you pick a door, and you will get what's behind the door. Before you open it, they open a different door than your choice and reveal a goat. Then the announcer says you are allowed to change your choice.

So should you switch?

The answer turns out to be yes. 2/3rds of the time you are better off switching. But even famous mathematicians didn't believe it at first.

Note you'll need the regions to be connected (or allow yourself to color things differently if they are the same 'country' but disconnected). I forget if this causes problems for any world map.