leonardo m.2d ago

My Bongard problem n. 20. We're back to problems created by me. Quality may vary, etc. This topic is rich in ideas so I'll offer several more problems on it. Try to write your solution (with a spoiler if you want), and to spot any mistakes of mine. I'll give my solution to this problem under a spoiler in two days.

For more info about Bongard problems in general take a look at my first messages:
https://mathstodon.xyz/@leonardom/116110015131667314
https://mathstodon.xyz/@leonardom/116110093951382315

Sometimes you see a solution of a Bongard problem in few seconds. Sometimes you find a rule idea only after many minutes. And it may take more minutes to be reasonably sure your rule is true/false for all the given boxes. In several cases I have had to read things to find solutions or even to express the solution with correct formal words. In some cases I had to write down some Python/Rust code and process the box contents to be sure of the correctness of a solution of mine. So the amount of time needed by BPs varies a lot.

#bongardproblem #mathpuzzle #puzzle #visualmath

Show threadGrégoire Locqueville

@leonardom
Planar graphs on the left.

With graphs I basically have a finite list of properties I can think of, so with a problem like that I'll just see if any of those properties matches. If one does, that's it; if none does, the problem becomes much more difficult.

Mar 21 at 12:11pmWeb