Not clicking an x link, but good to hear

Is there an explanation for this that isn't on X?

This is cool! Something seems broken in the representation for 1850 and 1765, squares are strangely intersecting.

edit: Or maybe something wrong with the way my browser (brave) is rendering it.

More on the 11-squares packing:

https://startupfortune.com/ai-models-formally-proved-walter-...

https://vplevris.medium.com/eleven-squares-one-tiny-gap-and-... (written just days before the new proof!)

https://jlevy.github.io/squares/cases/11.html

Can someone explain why 83 and 87 can't get any smaller?

"God is dead and the optimal packing of squares killed him." I will never not think of this meme when looking at these horrors. I see it, but I don't like it. ;)

I like geometry. These packings show there are ugly numbers, like 51.

There's a cool figure here: https://x.com/ojoshe/status/2107590622005924265

The readme also appears to be entirely LLM-written.

I really don't get it. If you think you've done something cool, why wouldn't you want to talk about it in your own words?

I had the same thought! Pics please.

EDIT: I found it a few links down. https://jlevy.github.io/squares/cases/11.html

Pics or it didn't happen

It’s unintuitive that a messy configuration of squares can be more optimal than neatly arranging them aligned. And by looking at all the current best solutions it does appear that the neat configurations are usually the best , but not always. How does one explain the messy cases?? Is that about how division can result in irrational numbers, and when the number of optimal squares approach one you end up with the messy squares?

It takes less time for you to try to read about the question than to type this comment. I know the link doesn't contain visualization, but... come on.

The whole point is that you can fit more than by naively stacking them...

Look at some of the other links people have posted for optimal packings. The optimal 11 square packing looks nothing like what you're describing ("just stack the cubes next to each other").