Bongard Christmas

Bongard problems were first devised by the Russian computer scientist Mikhail Moiseevich Bongard 1924–1971. The first publication I know was in a 1967 book. They were intended to be a test for artificial intelligence. In order to keep things controallable, he based them on geometry, which he supposed was culture free.

This months puzzle is absolutely not culture free. Personally, I suppose real artificial intelligence should also be able to deal with cultural aspects.
I wish you all a Merry Christmas!

Bongard problem Christmas^**/*****

New puzzles are published at least once a month on Fridays. Solutions are published after one or more weeks. You are welcome to remark on the difficulty level of the puzzles, discuss alternate solutions, and so on. Puzzles are rated on a scale of 1 to 5 stars. You can check your solutions here.

Rule finding game

Today, have a look at these 6 numbers. Not difficult, huh?

1) devise five different rules^**/*****
Now devise five different rules to divide these 6 numbers into two groups of three numbers.
Spoiler: one rule might be: even numbers go left, odd numbers go right. Or : both groups add up to 15.

2) devise eight different rules^**/*****
Devise as many dufferent rules to divide these 8 numbers into 2 groups of 4 numbers.

This game was described by “The Barrcast” in a youtube film titled “Rule finding games”.

New puzzles are published at least once a month on Fridays. Solutions are published after one or more weeks. You are welcome to remark on the difficulty level of the puzzles, discuss alternate solutions, and so on. Puzzles are rated on a scale of 1 to 5 stars. You can find 8 rules here, but if you think hard enough you will probably be able to come up with additional rules.