I don't know how well this puzzle will translate to a toot.
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Imagine you have been learning to count in base 2, 3, 4 just before being asked to do this.
However, if the order can be explained with a few simple rules it's valid IMO.
@futurebird
Okay, that's the sort of context that makes it fun
@dahukanna -
@futurebird This was so satisfying! My text editor (KWrite) has shortcuts for moving lines up and down. That made it a lot easier.
□
▣
■
▷
□□
□▣
□■
□▷
▣□
▣▣
▣■
▣▷
■□
■▣
■■
■▷
□□□
□□▣
□□■
□□▷
□▷□
□▷▣
□▷■
□▷▷@futurebird I just kind of intuitively decided on the "values" represented by □, ▣, ■ and ▷. I wonder what that says about my way of thinking. These symbols also give me Voyager Golden Record vibes.
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@futurebird
This is a question that makes me unreasonably annoyed if not angry. Without having seen an existing order there's huge amount of possible and equally valid sollutions.Easy one is to arbitarily assign each symbol a number and read the card as base ten, e.g. first one could be 112 or 443. Then there's the question of how each value is ordered. Ascending, descending or by maybe divide them into subgroups by some arcane mathematical rule and order those someway.
Just... Reminds me of school in the Not Good way
Ok what if I tell you
▷ is first
WRONG: □▷▷ is last
RIGHT: □□▣ is last
I think that narrows down the valid solutions a lot.
I apologize. I gave an unhelpful hint here. It's late.
(I glanced over at the incorrect list.)
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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 can’t type the symbols on my phone, but I would rank the three sided open first, then the four sided open second, four sided closed third, and four sided double color highest. Then rearrange based on that from left to right and build lowest to highest.
Hopefully that makes sense lol
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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.)
▷ : 0 or 3
□ : 1 or 4
▣ : 2 or 8
■ : 3 or 4
□▷ : 10 or 7
□□ : 11 or 8
□▣ : 12 or 12
□■ : 13 or 8
▣▷ : 20 or 7
▣□ : 21 or 12
▣▣ : 22 or 16
▣■ : 23 or 12
■▷ : 30 or 7
■□ : 31 or 8
■▣ : 32 or 12
■■ : 33 or 8
□▷▷ : 100 or 10
□▷□ : 101 or 11
□▷▣ : 102 or 15
□▷■ : 103 or 11
□□▷ : 110 or 11
□□□ : 111 or 12
□□▣ : 112 or 16
□□■ : 113 or 12the numbers are my two guesses at a "number value
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▷ : 0 or 3
□ : 1 or 4
▣ : 2 or 8
■ : 3 or 4
□▷ : 10 or 7
□□ : 11 or 8
□▣ : 12 or 12
□■ : 13 or 8
▣▷ : 20 or 7
▣□ : 21 or 12
▣▣ : 22 or 16
▣■ : 23 or 12
■▷ : 30 or 7
■□ : 31 or 8
■▣ : 32 or 12
■■ : 33 or 8
□▷▷ : 100 or 10
□▷□ : 101 or 11
□▷▣ : 102 or 15
□▷■ : 103 or 11
□□▷ : 110 or 11
□□□ : 111 or 12
□□▣ : 112 or 16
□□■ : 113 or 12the numbers are my two guesses at a "number value
@futurebird i didn't really feel like i had an "a-ha" while doing this, it only felt like i had the right answer when i sorted them all and realized there were no gaps in the "base 4" ordering, that was the point at which it felt like I had a satisfying answer rather than an arbitrary one
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▷ : 0 or 3
□ : 1 or 4
▣ : 2 or 8
■ : 3 or 4
□▷ : 10 or 7
□□ : 11 or 8
□▣ : 12 or 12
□■ : 13 or 8
▣▷ : 20 or 7
▣□ : 21 or 12
▣▣ : 22 or 16
▣■ : 23 or 12
■▷ : 30 or 7
■□ : 31 or 8
■▣ : 32 or 12
■■ : 33 or 8
□▷▷ : 100 or 10
□▷□ : 101 or 11
□▷▣ : 102 or 15
□▷■ : 103 or 11
□□▷ : 110 or 11
□□□ : 111 or 12
□□▣ : 112 or 16
□□■ : 113 or 12the numbers are my two guesses at a "number value
This works IMO.
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@futurebird I just kind of intuitively decided on the "values" represented by □, ▣, ■ and ▷. I wonder what that says about my way of thinking. These symbols also give me Voyager Golden Record vibes.
@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.)
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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@sauropods.win is it base 4? -
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
which symbol represents which digit is arbitrary but I liked this way▷
□
▣
■
□▷
□□
□▣
□■
▣▷
▣□
▣▣
▣■
■▷
■□
■▣
■■
□▷▷
□▷□
□▷▣
□▷■
□□▷
□□□
□□▣
□□■ -
@futurebird@sauropods.win is it base 4?
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@futurebird@sauropods.win other than 0 which never starts a multi-digit number i don't see how can one assign other digits to symbols
There is more than one valid solution.
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@futurebird
which symbol represents which digit is arbitrary but I liked this way▷
□
▣
■
□▷
□□
□▣
□■
▣▷
▣□
▣▣
▣■
■▷
■□
■▣
■■
□▷▷
□▷□
□▷▣
□▷■
□□▷
□□□
□□▣
□□■Works!
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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 like this. When I teach people about bases, I try to break them free from the symbols having values, and we often end up having them do something in base 3 with circles, squares, and triangles.
-
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 Good puzzle. ‘The proof is left as an exercise for the reader.”
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@futurebird I like this. When I teach people about bases, I try to break them free from the symbols having values, and we often end up having them do something in base 3 with circles, squares, and triangles.
Funny you should mention that.
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Yeah this is harder without cards to move around and put in arrays. But I think it's still possible.
@futurebird i tried copypasting into a plaintext editor but some of the line-initial "▣"s got garbled into tofu -_- -
@futurebird i tried copypasting into a plaintext editor but some of the line-initial "▣"s got garbled into tofu -_-
What symbols do you like I can do find replace?
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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.)
4 symbols, so maybe base-4 number system
24 "cards" so assume 0-23
Only 1 base-4 number in that range has 3 of the same digit: 111 (21). So □ must be 1.
Only 9 3-digit numbers in that range, and only 1 of them is 1 followed by 2 digits: 100 (16). So ▷ must be 0.
Digits 2 & 3 will have to wait until I get home. -
@futurebird i tried copypasting into a plaintext editor but some of the line-initial "▣"s got garbled into tofu -_-
