I don't know how well this puzzle will translate to a toot.
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@futurebird You're connecting it to your digits definitely gave me a lot, I don't know if I'd have had a first thought without it.
▷ : only ever occurs on the right side in "▷", has something to its left otherwise. So numbers go right-to-left and "▷" is 0.
□ : is the only thing that's on the right of a three-symbol sequence. So since there's only one symbol in that position, it's a 1.
That said, I think there are TWO equivent orders. You could have either removed 1 card, or added up to 7 cards, or added 9 to... maybe 38, I think, and made it unambiguous, but what was given was ambiguous:
▷
□▣
■□▷
□□□▣
□■▣▷
▣□▣▣
▣■■▷
■□■▣
■■□▷▷
□▷□□▷▣
□▷■□□▷
□□□□□▣
□□■--
The remaining symbols are "▣" and "■", and they occur entirely symmetrically. So we can use the shapes themselves to judge --
either it goes ▷, □, ▣, ■ -- filling more of the square each time,
or else it goes ▷, □, ■, ▣ -- where □+■=▣ because ▣ is "a filled square ■ in an outline □".
@futurebird ... also tho, are the cards oriented.
Because if □□▣ can alternatively be ▣□□, I haven't tried it out but I'm pretty sure that changes things.
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is this alphabetized?
@futurebird You said order. I'm a writer.
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@futurebird ... also tho, are the cards oriented.
Because if □□▣ can alternatively be ▣□□, I haven't tried it out but I'm pretty sure that changes things.
Two cards that could be flipped where the last two the students fit into their pattern.
They decided that having a repeat made no sense.
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@futurebird You said order. I'm a writer.
@golgaloth you win the writers' internet today
@futurebird -
I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
@futurebird
□
□□
□□□
□□■
□□▣
□□▷
□■
□▣
□▷
□▷□
□▷■
□▷▣
□▷▷
■
■□
■■
■▣
■▷
▣
▣□
▣■
▣▣
▣▷
▷ -
I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
@futurebird I really like this. Makes me want to grab a bunch of sticky notes and try this with my own kids.
But despite not having committed anything to sticky notes, I can kind of see two distinct versions of a pattern here.
One of them looks like a "counting pattern". Like a base 2 or base 3 counting up. 24 entries, this looks like a round number for something like base 3.
But I can also see a "moving shapes pattern". Where the shapes are moving through each other in an artistic fashion. In some ways, that might actually be counting, but I think the artistic order is different from the counting order.
Darn it, I feel like I'm being nerd sniped

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@fell @futurebird I decided that ▷ must be 0 since it never appears leftmost in any multi-symbol card. (And there is no symbol with that property on the right.)
I'm with you on this one. Line 16 to 17 transition looks weird. I would have expected triangle in the far left column, but instead I just get three open blocks.
It's also notable that open block symbol is dramatically more prevalent. Kind of makes it seem like "the zero" to me.
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I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
I don't see a way to determine if ■ is two or three, and ▣ is whichever of those that ■ is not. ▷ is zero. □ is one. Thus, depending on how you assign the two filled-in squares, the order is either
▷
□
■
▣
□ ▷
□ □
□ ■
□ ▣
■ ▷
■ □
■ ■
■ ▣
▣ ▷
▣ □
▣ ■
▣ ▣
□ ▷ ▷
□ ▷ □
□ ▷ ■
□ ▷ ▣
□ □ ▷
□ □ □
□ □ ■
□ □ ▣or
▷
□
▣
■
□ ▷
□ □
□ ▣
□ ■
▣ ▷
▣ □
▣ ▣
▣ ■
■ ▷
■ □
■ ▣
■ ■
□ ▷ ▷
□ ▷ □
□ ▷ ▣
□ ▷ ■
□ □ ▷
□ □ □
□ □ ▣
□ □ ■I suspect the ordering of ■ and ▣ is arbitrary given that □ is definitely 1, which makes them all somewhat out of order if we consider the unicode values.
▷ 25b7
□ 25a1
■ 25a0
▣ 25a3I like patterns. Thank you again.
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I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
@futurebird ▷ 001
□ 002
▣ 003
■ 004
□▷ 021
□□ 022
□▣ 023
□■ 024
▣▷ 031
▣□ 032
▣▣ 033
▣■ 034
■▷ 041
■□ 042
■▣ 043
■■ 044
□▷▷ 211
□▷□ 212
□▷▣ 213
□▷■ 214
□□▷ 221
□□□ 222
□□▣ 223
□□■ 224 -
I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
@futurebird I'm an adult, and this looks like numbers to me. There are only four letters and too many combinations made of these letters, so it's unlikely that they are words rather than numbers in base-4. (Words written with alphabet typically have much more redundant encoding with much fewer allowed combinations)
There are four single-character numbers and 12 two-character, with all possible combinations of the characters except the leading triangle in two-character numbers, no language behaves like that.
None of the numbers (besides single-character triangle) start with triangle, so I'd guess that's 0 and they're written in the same direction as our Arabic numerals. And another guess is that the list is a contiguous chunk of numbers (because at least it contains all numbers from 0 to 15)
All three-digit numbers start with empty square, so I'd guess that's 1.
All three-digit numbers start with either 10 or 11, further confirming the "contiguous range" hypothesis. There are all four possible combinations starting with 10, but only three starting with 11, so they must be 110, 111 (we already know how these look like) and 112. Therefore, nested squares is 2.Final answer:
* It's a base-4 alphabet, encoding all integers from 0 to 112 (22 in decimal)
* Triangle is 0
* Empty square is 1
* Empty square with nested filled square is 2
* Filled square is 3 -
I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
I think assignment of ▣ and ■ is arbitrary, so I'm going to choose 2 and 3 just to make it easier to remember:
0 -> empty -> □
1 -> partial -> ▣
2 -> filled -> ■
3 -> triangle -> ▷
I can then sort the cards easily
0 to 23 in base 10, or
0 to 113 in base 4, or
□ to ▣▣▷ with the cards -
I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
Here is the real puzzle. l
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F myrmepropagandist shared this topic
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I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
@futurebird linear ordering?
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Here is the real puzzle. l
@futurebird two of these things are not like the others
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Here is the real puzzle. l
@futurebird The puzzle would probably take me hours to solve; I'll just admire the giant stag beetle (I think?) for a while.

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I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
@futurebird Assuming you're using ▷ to represent the red triangle, it seems to me like there's a card that appears twice in the image but not in your list. Namely the one at the top and at the bottom right, which I'd render as ▷■. At the top the triangle is rotated differently so it's perhaps ■▷? Still, I can't find both of those in the textual representation
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I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
@futurebird Have you seen the game "A Little to the Left"? It's very cute and this post leads me to think you would enjoy it

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I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
@futurebird I haven't checked exhaustively, but it seems to me that interpreting this as base 4 is sensible, and you can deduce that ▷=0 and □=1, but I don't see a way to pin down the values of ▣■…
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Here is the real puzzle. l
@futurebird I am confident the beetle will solve it
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I don't know how well this puzzle will translate to a toot. Imagine each line is on a card:
□□▷
□□□
■■
■
□■
□▷▣
▣
□▣
■▷
■▣
▣▷
□□■
□▷
▣▣
□□
□
▣□
□□▣
■□
▷
□▷□
□▷■
▣■
□▷▷Put them in order.
(The 5th graders could do it, but they did have a helpful example first... There may be more than one solution, but I think there is ONE really good order. Can you find it?)(I should also mention that every adult I've shown this to gives up. But I only showed it to two rather grouchy teachers.)
1 □
2 ■
3 ▣
4 ▷
11 □□
12 □■
13 □▣
14 □▷
21 ■□
22 ■■
23 ■▣
24 ■▷
31 ▣□
32 ▣■
33 ▣▣
34 ▣▷
111 □□□
112 □□■
113 □□▣
114 □□▷
141 □▷□
142 □▷■
143 □▷▣
144 □▷▷