I don't know how well this puzzle will translate to a toot.
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@futurebird Digits fixed, now that I've identified the zero, and it is base 4:
0 ▷
1 □
2 ▣
3 ■
10 □▷
11 □□
12 □▣
13 □■
20 ▣▷
21 ▣□
22 ▣▣
23 ▣■
30 ■▷
31 ■□
32 ■▣
33 ■■
100 □▷▷
101 □▷□
102 □▷▣
103 □▷■
110 □□▷
111 □□□
112 □□▣
113 □□■@futurebird If you were to remove the zero card and add a 120 card, then the order would be unambiguous. The symbols for 2 and 3 are currently interchangeable, leaving two solutions.
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Here is the real puzzle. l
@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. -
There is more than one valid solution.
@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
triangleFor the cards also had to figure out left to right order, but I think I got that correct
