I don't know how well this puzzle will translate to a toot.
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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.
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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 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?
-
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 -_-
-
What symbols do you like I can do find replace?
@futurebird the more common unicode emojis might be safer... -
@futurebird the more common unicode emojis might be safer...
I gave you some ASCII for extra safety.
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@futurebird the more common unicode emojis might be safer...@futurebird (now i'm wondering if anyone's going to decide on their best "one true" answer by going in unicode order)
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@futurebird (now i'm wondering if anyone's going to decide on their best "one true" answer by going in unicode order)
Well I feel that there is a logic to:
▷
□
■
▣But, beyond the triangle I think you can reorder the other three.
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@futurebird oh wow this feels way easier
sorting into 3 groups by length, then sorting by first glyph in each... -
Well I feel that there is a logic to:
▷
□
■
▣But, beyond the triangle I think you can reorder the other three.
@futurebird @apophis ah i would have reversed the two last ones. But that wouldn't make a difference, would it?
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@golgaloth @futurebird I hate it when the file stage1.txt is followed by stage10.txt instead of stage2.txt, but it happens
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@futurebird oh wow this feels way easier
sorting into 3 groups by length, then sorting by first glyph in each...originally had "[" as 3 because i was thinking sloppily and figured "big string = big number" but the error was obvious once i'd sorted the [-initial 3-longs into their sequenced groups of 4 at the end and it was clearly skipping a few series
the -^ order was entirely arbitrary
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