Lotsofsloths
Member
How many possibilities are there for the Last Layer, and would you please explain how you found this figure?
How many possibilities are there for the Last Layer
I used google.and would you please explain how you found this figure?
...How you got this figure, like what multiplies or adds up to it?I used google.and would you please explain how you found this figure?
Three. Top layer, middle layer, bottom layer.How many possibilities are there for the Last Layer, and would you please explain how you found this figure?
How many possibilities are there for the Last Layer, and would you please explain how you found this figure?
Nope. C'mon. If you can explain the 43 quintillion, you can also do the last layer.the whole cube is to 43 quintillion as last layer is to 1221?
I don't understand why you're laughing about that. I suppose for the same reason noncubers think it's funny when they tell us that they used to peel the stickers off?
I suppose for the same reason noncubers think it's funny when they tell us that they used to peel the stickers off?
Ok, fine.Please stop It's like nails on a chalk board.
I don't understand why their first instinct is to take the stickers off. Why not just take it apart?
I don't understand why their first instinct is to take the stickers off. Why not just take it apart?
If you are serious about this one, it's not hard to calculate the the 43*10^18.haha, I cannot explain the 43 quintillion, Just another number I memorized!
If you are serious about this one, it's not hard to calculate the the 43*10^18.haha, I cannot explain the 43 quintillion, Just another number I memorized!
First, let's assume a standard orientation such as white on top and green in front. The edge pieces and corner pieces are placed with respect to these.
Edges. The first edge can go into any of 12 locations. Once that is placed, the next edge can go into any of the remaining 11 locations. Once those are placed, the 3rd edge can go into one of the remaining 10 locations. Follow this logic for the remaining edge pieces. This means the edges can be arranged in 12*11*10*9*8*7*6*5*4*3*2*1 = 12! possible ways. Assuming each edge can be flipped or not flipped we have 2^12 ways edges can be flipped. But, we know the number of edges flipped cannot be odd. It must be even, so there are actually only 2^11 ways of flipping the edges.
Corners. By similar logic there are 8! ways to position corners with respect to the centers. A corner can be oriented normally or CW or CCW, and the twists must all cancel to normal. (One CW and CCW cancel and 3 CW cancel and 3CCW cancel to normal.) So there are 3^7 ways the corners can be twisted.
PLL parity. There can never be only 2 edges needing to be swapped without requiring 2 corners to be swapped too. So, we should divide our results by 2.
Results. 12! * 2^11 * 8! * 3^7 / 2 = 43,252,003,274,498,856,000.