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by disago 573 days ago
Well, I had to try just for fun of it. The immediate reply was the following:

[...]

Starting with 0 paired with 1. If I think about functions or some formula that could map these values, but that might be too complicated.

Alternatively, perhaps these numbers represent something specific. For example, maybe they're representing the number of certain features in the number itself, like the number of closed loops in the digit's shape.

Let's think about that:

0 has one closed loop. 5 has no closed loops. 6 has one closed loop. 7 has no closed loops. 8 has two closed loops. 9 has one closed loop. Wait a minute, that seems to match the sequence:

0 (1 loop) - 1

5 (0 loops) - 0

6 (1 loop) - 1

7 (0 loops) - 0

8 (2 loops) - 2

So, if 9 has one closed loop, then it should be paired with 1.

But let's double-check this theory with the given pairs.

0 has one loop, paired with 1 – matches.

5 has no loops, paired with 0 – matches.

6 has one loop, paired with 1 – matches.

7 has no loops, paired with 0 – matches.

8 has two loops, paired with 2 – matches.

Yes, this seems consistent.

Therefore, 9 should have one closed loop, so it should be paired with 1.

[...]

Then it continued trying another approach related to the number of angles in the digit shape, but it discarded it. Then "Alternatively, perhaps it's related to the number of segments that are 'on' in a seven-segment display." and so on.