How many clock combos are there?

[FenTheGoat]

I’m assuming it’s 12^18, there’s 12 combos for each clock, and 18 clocks, I don’t know enough about clock to be 100% sure on this, I would like some help on theirs.

 

[Mastermind2368]

I believe it would be 12^14 combinations. There are only 4 corner pieces - the corners on the front and back move together. This is of course not including different pin combinations, and it doesn't account for symmetrical cases.

 

[FenTheGoat]

I believe it would be 12^14 combinations. There are only 4 corner pieces - the corners on the front and back move together. This is of course not including different pin combinations, and it doesn't account for symmetrical cases.

So, accounting for symmetrical cases, it’s (12^14)2? Or am I messing up my math?

 

[OtaMota]

*16 for pins

 

[Mastermind2368]

So, accounting for symmetrical cases, it’s (12^14)2? Or am I messing up my math?

I believe it would be (12^14)/2, as the original calculation allows for 2 symmetrical cases to each be counted. Since there are two sides, the amount of distinct cases are halved.

 

[OtaMota]

Is the final calculation (12^14)*16/2?

That equals about 10 quadrillion

 

[Billabob]

Rubik's Clock

www.cube20.org

Apparently just 12^14. It's silly to include pins in the calculation as the pins are irrelevant to the solved state according to WCA guidelines. Symmetries do reduce the amount of states by a large factor.

 

[OtaMota]

Pins state is included in different scramble states though.

 

[abunickabhi]

12^14 makes sense. Thanks for sharing the calculation yo.