Hah. Neat. I love projects like this just for fun.
For my old (2010-era) Bitcoin casino, I wrote a slot machine based on a Rubik's cube. When you would "spin" the slot, the cube would reset to a perfect position and then scramble itself randomly 4-6 times. You had 60 seconds (with max 3 moves) to solve as many lines as possible. Payout was based on how many triplets you had.
I never wrote a solver for it. But the goal was for it to be skill-based. Determining the payout odds involved a LOT of monte carlo solving. I wanted the expected value for a perfect player to be 100%.
Very few people ever actually played it. And those who did mostly played the "dumb" version where the payouts were higher per line, but you didn't get the 3 manipulations after the spin. That version was calibrated to about 92% EV, if I remember right.
Diving into the math of it was one of the most entertaining things I've ever done as a programmer. A universal poker hand evaluator (from 3 card to 5 to 7 Holdem and Omaha) in 200 lines of PHP, was the second.
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Hah. Neat. I love projects like this just for fun.
For my old (2010-era) Bitcoin casino, I wrote a slot machine based on a Rubik's cube. When you would "spin" the slot, the cube would reset to a perfect position and then scramble itself randomly 4-6 times. You had 60 seconds (with max 3 moves) to solve as many lines as possible. Payout was based on how many triplets you had.
I never wrote a solver for it. But the goal was for it to be skill-based. Determining the payout odds involved a LOT of monte carlo solving. I wanted the expected value for a perfect player to be 100%.
Very few people ever actually played it. And those who did mostly played the "dumb" version where the payouts were higher per line, but you didn't get the 3 manipulations after the spin. That version was calibrated to about 92% EV, if I remember right.
Diving into the math of it was one of the most entertaining things I've ever done as a programmer. A universal poker hand evaluator (from 3 card to 5 to 7 Holdem and Omaha) in 200 lines of PHP, was the second.