I don't know how well this puzzle will translate to a toot.

[ingalovinde@embracing.space]

@futurebird once again we have four characters, four cards with each of the characters, and 12 cards with two-character combinations, so I'm just going to assume it's like the last time, base-4.
On 12 two-character cards, we get one with two triangles, one with two filled circles, one with two squares, but none with two empty circles. Therefore empty circle is zero.
Now from the card with empty circle and triangle we can deduce that if we write digits in the same order as usual, more senior to the left, less senior to the right, then the correct orientation of triangle is the one where the right angle is to the bottom left of diagonal.
Rotating all cards with triangles to their right orientation, we see that in three-digit numbers, triangles only occur in the rightmost position, and in the leftmost it's always filled circle. This probably means that filled circle means 1.
"Filled circle, square, empty circle" card is oriented properly because empty circle is zero. But we never see a three-digit number with triangle in the middle. Assuming, like in the previous puzzle, that the numbers are consequential, we get that square is 2 and triangle is 3.

The numbers on the cards are, in base-4 with Arabic digits:
32 in the second (only) column of the top row.
31, 20, 11, 2.
113, 103, 100, 13.
0, 3, 102, 12 or 21 (impossible to determine if it's upside down or not).
120, 101, 30, 22.
112, 110, 33, 1.
111, 21 or 12, 23, 10.

[lufthans@mastodon.social]

@futurebird @xarvos There are 24 lines in your box empty, box full, box outline, triangle example. I swapped to , " : > to work in terminal

It seems one more or one fewer would allow determining which is the 3rd and which is 4th symbol

Your card example has 25 cards, and a beetle assistant, so I skipped to 3 symbol cards and I believe the 25th card solidifies the order as:

circle
earth
square
triangle

For the cards also had to figure out left to right order, but I think I got that correct

[lufthans@mastodon.social]

@futurebird @buddhawilliams woohoo! Got it right

Granted, if I understand it correctly, that was a 50/50 on correct or incorrect :)

[futurebird@sauropods.win]

@c9a

1. I'm confused by your ordering. It's not alphabettized, and it's not a base 4 analog. That doesn't mean it's not logical, hmmm.

2. I'm impressed by the little application. What language did you use? My CS club students are making some web games and they want to do things like save scores and let users compare answers so this could work.
As such JavaScript isn't sufficent. Too client side. We've been trying PHP.

I used to be a web dev but that was two decades ago.

[mensrea@freeradical.zone]

@futurebird without other context we can assume that it is potentially in the correct order already, as these could be words rather than just random groups of symbols

[bri7@social.treehouse.systems]

@futurebird @c9a looking at the criteria, it’s a valid grey code, making it transformable to a base 4 ordering by reflection rules, and also transformable to a valid towers of hanoi solution

in theory. i haven’t validated any of these claims

[bri7@social.treehouse.systems]

@futurebird @c9a if valid, by “reflection rules” i mean that splitting it in half, and reversing one of the halves… then repeating on each half recursively, should result in a base4

[futurebird@sauropods.win]

@bri7 @c9a

Ah! grey. That makes more sense.

[danyow@norden.social]

@futurebird

▷
□
▣
■
□▷
□□
□▣
□■
▣▷
▣□
▣▣
▣■
■▷
■□
■▣
■■
□▷▷
□▷□
□▷▣
□▷■
□□▷
□□▣
□□□
□□■

(I believe there is an equally valid solution exchanging the meaning of the digits ▣ and ■.)

[mspcommentary@mastodon.online]

@futurebird I think you need some additional information. In particular: do the items represent numbers (whole numbers) and, if so, is it a continuous series?

[swelljoe@mas.to]

@futurebird @c9a JavaScript can be server-side with nodejs or bun or deno. I generally don't like JavaScript on the backend but it has the benefit of being the same language on the frontend and backend. PHP is still a reasonable option, and it runs easily on cheap shared hosts. There are better backend service language options (I prefer Go) but JavaScript or PHP is entirely defensible for students just learning how to do things on the web. Python is another good teaching option.