I don't know how well this puzzle will translate to a toot.
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There is more than one logical order if you want it to be like base 3
But with that restriction I think there are only two.
...
WAIT.
I gave a bad hint.
□□▣ is last.
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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?
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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 -_-
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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
*
[
-
^
[*
[[
[-
[^
-*
-[
--
-^
^*
^[
^-
^^
[**
[*[
[*-
[*^
[[*
[[[
[[-
[[^ -
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 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 □".
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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
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