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Show HN: Scroll through all 43252003274489856000 Rubik's Cube states

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Re: Show HN: Scroll through all 43252003274489856000 Rubik's Cube states

#71

Post by xboxnolifes »

theginger wrote: post #69

Anyone else surprised how small the number is? It looks quite big without commas but if you add them in it looks like the sort of number that is almost conceivable 43,252,003,274,489,856,000 43 quintillion, that's the type of number i've vaguely heard of. Compared to the number of possibilities for a shuffled deck of cards 80,658,175,170,943,878,571,660,636,856,403,766,975,289,505,440,883,277,804,000,000,000,000 That…

It felt pretty big to me, considering Rubik's cubes only have 26 pieces, their valid slots are not all the same, and some of their states are mirrored.

Re: Show HN: Scroll through all 43252003274489856000 Rubik's Cube states

#72

Post by DonHopkins »

crucio wrote: post #68
noduerme wrote: post #41

I wrote a 3d rubiks cube slot machine for my old online casino. It scrambled the cube randomly 4 times and gave the player 60 seconds to solve it by twisting up to 3 times. Lots of weird quaternion math to handle the spinning and shift key twisting at the same time. All with simple geometry in Away3D / AS3. The real hard part of designing that game was creating the payout structure. The game paid an equal amount for…

any time there is skill in an online casino game where money is involved, there is cheating too

Just change the parity by swapping two stickers on a corner piece, and no amount of skill can solve it.

Re: Show HN: Scroll through all 43252003274489856000 Rubik's Cube states

#73

Post by dcanelhas »

This is a nice visualization. Are there any keyboard keys to just advance one position along the line? I tried the arrow keys but they jumped quite far.

I don't know how this was generated (BFS and flattening?) it seems adjacent indices aren't just one move apart ... but they could be!

There is a Hamiltonian circuit for Rubik's cube: https://bruce.cubing.net/ham333/rubikhamiltonexplanation.htm...

Following the circuit would be like Gray codes instead of binary digits. You only flip one bit at a time when going to the next number.

Re: Show HN: Scroll through all 43252003274489856000 Rubik's Cube states

#77

Post by nzealand »

avandekleut wrote: post #20
nzealand wrote: post #17

It took Ernő Rubik four years to develop the cube. He immediately scrambled it, then spent the next month figuring out if it could be solved. Luckily no one told him there were 43 quintillion valid combinations.

Solved theoretically? I figure you could at least intuit that reversing all the moves in the scramble in reverse order would solve it.

He spent the next month coming up with an algorithm to solve it, not knowing if such an algorithm was even possible.

After he sold the puzzle, he traveled around to various conferences, to prove it could be solved.

Re: Show HN: Scroll through all 43252003274489856000 Rubik's Cube states

#78

Post by gosub100 »

crucio wrote: post #68
noduerme wrote: post #41

I wrote a 3d rubiks cube slot machine for my old online casino. It scrambled the cube randomly 4 times and gave the player 60 seconds to solve it by twisting up to 3 times. Lots of weird quaternion math to handle the spinning and shift key twisting at the same time. All with simple geometry in Away3D / AS3. The real hard part of designing that game was creating the payout structure. The game paid an equal amount for…

any time there is skill in an online casino game where money is involved, there is cheating too

Plus this would seemingly violate compliance with laws protecting disabled people. For instance, someone with mobility issues might know the solution but wouldn't be able to hit the buttons in time.

Re: Show HN: Scroll through all 43252003274489856000 Rubik's Cube states

#80

Post by d4ng »

avadodin wrote: post #70
thih9 wrote: post #54

Earlier quoted context omitted.

In case someone is curious, NFTs were tradeable tokens popular for a short while in the early 2020s. > Initially pitched in 2017 as a new class of investment asset, NFT trading increased from US$82 million in 2020 to US$17 billion in 2021. Its market was occasionally compared to an economic bubble or a Ponzi scheme. In 2022, the NFT market collapsed; a May 2022 estimate was that the number of sales was down over 90%…

The reason NFTs "failed" is that the "assets" were jpegs with infinitesimal intrinsic value(pre–ai slop) and even less market appeal. We have people wasting money on jpegs and people wanting to own things outside of game inventory screens even today. Something akin to NFTs could still become a part of the economy.

Define intrinsic value in a measurable way that does not depend on any specific human’s subjective estimation.
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