depending on how much want to do, I have seen kits for ~$30. Pretty sure I’ve seen some small kits taken for camping, so they can’t be too pricy. And if you can’t afford it, just start bringing it up around town! Maybe somebody will get excited and do it for you.

Fortunately containers can get bigger =)

While we aren’t all the same, there’s a difference between things that require holding 8 complicated things in mind at once, and things that require a little language learning and the intelligence to solve a crossword. This is closer to the latter - like doing a crossword in Spanish. You need to know a bunch of little things, but learning them is basically all tedium and not brilliant insights. (Taking these puzzles, creating a dozen new variants, and solving all of those probably does require managing a lot of complexity. But to understand the work of others, is not so bad)

If it’s any consolation, you are almost certainly within ~3 years of understanding the solution and a dozen variants. It’s not a super deep area. Probably doesn’t really require calculus (you need continuous as in ‘the lion doesn’t teleport; that’s cheating’, but I think not much more).

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)

It’s likely in some cultural groups - and has been true for a friend or two of mine. A particular example was someone going to a Psych ward, where their phone was kept in a vault. Obviously you know more context than me. But the probability is nonzero.

They’ve suddenly landed in a really controlling environment (be it a partner, parents, or a government), and wish to hide your relationship/keep you out of the crosshairs.

Eh - surely this is because one party (rightly) had a platform of cutting police funding. Selfish explains most of this, surely?

Ah, so it’s the probability you win by playing randomly. Gotcha. That makes sense, it becomes a choice between 2 doors

Why do you have a P(x1) = 1/2 at the start? I’m not sure what x1 means if we don’t specify a strategy.

Agree that this is a circuit you should never use. But theoretically it could be a circuit that does… something? Maybe?

Would the tears and their paths make interesting circuits? Salt water is probably a reasonable conductor, but I’m not sure how to model the eyes.

Does the ama help? If so, how?

I imagine it as distracting, which might be enough to cope? But I’m not sure.

Oh that’s cool - I had heard one or two examples only. Is there some popular writeup of the story from Savant’s view?

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.