https://manifold.markets/jacksonpolack/will-anyone-post-an-interesting-mat-9aa517820f9c

oh this should've already resolved YES because of the packing comment

you're gonna lose that $15 lol

close date extended as im only no holder

Let me try. Please try to pack one 2*2*2 cube, one 1*2*2 square, three 1*1*3 rods and thirteen 1*2*4 planks into a 5*5*5 box.

@giojoai this one is fun! And hard! Spent 20 minutes on it, with no solution. Might try again later.

Was the intent to allow computer-assisted solutions, or manual math + thinking only?

@jacksonpolack i suggest avoiding computers, to avoid missing the aha moment.

@jacksonpolack actually this may be harder than 30min+, may I post it in your 1h+ market?

yeah. I don't think i'm getting within 30min on this

Kind of feels like something you need to build to play it properly. My head for spatial reasoning is right around 4x4x4 in size, so I'm struggling to get past halfway.

I used paper and pencil for this one, and drew 4 attempts to near completion, before getting stuck. There's no way this is solvable in under 15

Note: crossposted to 1h+ market

@giojoai not to brag, but I solved it in 5 minutes. at least if my solution is correct. Am i allowed to post it here?

@hmys meant to tag maymeta ah sorry

@hmys Might be more polite to DM it to any interested parties, so nobody gets spoiled while scanning the comments.

@hmys Or link it? I don't think the original poster here has recommended against us offering him the info.

I recall that this took me over an hour, though it seemed simple enough:
If you're buying a box of 12 donuts, and the shop sells 6 varieties, how many possible combinations of donuts can you get? (Order doesn't matter.)

@TylerColeman Thx! This one was fun. Took me 19 minutes.

Is my solution correct? https://pastebin.com/raw/MZNcxZaK

@MayMeta I think so. It took me far too long to solve it (I didn't/don't know the formulas, lol) to check your work without some study. Bonus challenge: try to check your work by doing it without the formulas?! I enjoyed that process, at least.

Haven't started these yet (other stuff to do, will extend close date if I don't get to them this week), but if you don't know the 'right way' to do something, spending a bit of time trying to figure it out yourself before learning the 'right way' is worth doing. Whether you figure it out, don't, or figure it out partially, it's good practice for problems nobody knows the answers to

@TylerColeman done https://pastebin.com/raw/DnXuaWhv 😉👌
Although I used python to generate this list, so it wasn't quite 'by hand' haha

@MayMeta Haha! Fair enough, computers are math's future!

did this. i might still spend >30min on it trying to get a better intuition for why thats the formula though, rederived from just algebra and sums and induction but dont really feel why

@jacksonpolack I agree, it's not exactly intuitive. Let me know if you have an "Aha!" moment.