Comment by ๐Ÿ’Ž istvan

=> Re: "A standard deck of US playing cards has 54 cards including..." | In: u/jsreed5

I suppose this means you can also represent the state of a cube with a base64 encoded string of 54 characters length.

=> ๐Ÿ’Ž istvan

2024-04-28 ยท 9 months ago

2 Later Comments โ†“

=> ๐Ÿฆ wasolili [...] ยท 2024-04-29 at 00:29:

Rubik's cubes' stickers can't be placed in completely arbitrary positions. They're limited by the type of piece they're on (corner, edge, center) and there are some positions which are impossible (a single flipped piece, for example).

When all that's accounted for, there are only 43 quintillion possible states for a rubik's cube, so you could get away with only 21 cards

=> ๐Ÿš€ jsreed5 [OP] ยท 2024-04-29 at 18:02:

It would be interesting to analyze various mappings of Rubik's Cube positions to orderings of a "deck" of 21 cards. For example, what mapping leads to the fewest average twists on the cube to go to a corresponding arrangement of the deck where N cards change places? What class of deck arrangements are unreachable?

Original Post

=> ๐Ÿš€ jsreed5

A standard deck of US playing cards has 54 cards including Jokers, and the standard Rubik's Cube has 54 stickers. Therefore it 's possible to represent the state of Rubik's Cube with a deck of playing cards--and it's possible to "solve" Rubik's Cube with them.

=> ๐Ÿ’ฌ 4 comments ยท 1 like ยท 2024-04-27 ยท 9 months ago

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