Superpositions, Sudoku, the Wave Function Collapse algorithm.

Never thought about comparing it to sudoku, that's such a smart way of describing it!

With a name like Wave Function Collapse, I was expecting some really advanced mathematics, but this is actually beautifully simple and intuitive.

This is literally the best explanation for how this algorithm works.

This is one of the most well-presented videos, on a technical subject, that I have ever watched on youtube. Great work, looking forward to more content.

Terrific explanation! I recently finished reading "Doors of Eden" (by Adrian Tchaikovsky), a novel in which wave function collapse influences the plot outcome significantly. I'm going to share the link for this video with my wife and a friend who've also recently read the book but who are both humanities scholars rather than techies, because if they simply stop at the beginning of the programming section, they will get an extremely lucid and approachable explanation of the theory. Well done, and thanks for sharing.

Watched more than 3 hours of implementations and explanations about wave function collapse, Can confirm that this one was the best from every aspect, Thank you!.

This is super useful for generating levels with a set number of points of interest. You add whatever things you want to have in a level at random points and maybe add roads between them and after that you can make this algorithm do its magic to fill in the details. Very nice!

Normally my brain hurts when I try to grasp new concepts, but that just didn't happen now. You have a way of explaining things making the concepts very easy to understand

Best WFC explanation I've watch. Thanks !

That was mind-bending! Really some food for thought! And you've convinced me to take up Sudoku! I really love that you relate Sudoku to wave function collapse in this way! Really helped something click in my brain; thank you!

Nicely presented! I thought you were going to talk about physics but I watched the whole video because this algo idea is so fun, and all the info was a good mix of visual demo and technical details, perfect for morning coffee :D

This is honestly not only extremely well explained, but also beautiful too

The idea to just analyze an example level to determine valid sockets is great. I did not even think about that. Makes it much easier to create complex rules and have the computer imitate the style of a human Level Designer.

Wow, this was amazing. So well organized, articulated, and indeed respectful of my time. You sir have earned a sub + bell. Thank you for this I'm sure I'll end up referring back to this one day.

If you add recursive backtracking to this algorithm, you'll end up with a classic algorithm for SAT solving, called DPLL. Also, DPLL is very old and outdated, so if your constraints are too complex to find a solution with it, consider taking inspiration from CDCL algorithm, or just use the off the shelf SAT/SMT solver, like Z3.

Man you're so good! cant believe this channel is so small :O really helped me out with my next project :)

This is by far the clearest and most detailed explanation i saw on the subject, thanx a lot ! I was wondering, just like for sudoku, is it possible that the algirithm runs into a dead end by selecting a combination of tiles that doesn't allow a suitable neighbour in some cases? Is there a strategy for the algorithm to backtrack and correct that, or is it better to start over again or carefully craft a tileset that allows every possible combinations?

Excellent! I'll be eagerly watching your future videos. Are you also using Doom Emacs with the gdscript layer? If you have any suggestions for improvements they're welcome on the repository.

I've been reading about wave function collapse for a few days, and four minutes into your video I already understand it better than everything else I've seen combined. Fantastic job

Best WFC Explanation never thought of comparing it to Sudoku. Nice Vid!!