whauk
Veteran
i felt just like making a discussion thread for crazy cubes. (you can buy them at mefferts)
1. how many possible states do they have? (and they are different)
for venus (the only one i have) it should be: (venus is where two opoosite faces are "1" and the rest is "0")
3^7*8! <- outer corners
12!*2^11 <- outer edges
/2 <- because you cant swap two outer pieces alone without swapping two different outer pieces
4*4/2 <- the set of inner edges that can only rotate around U and D (yes really)
16!/(4!^2*2^4) <- the rest of the inner edges
24!/(4!^6) <- inner corners
/4 <- i am not sure about this. i'd say you cant swap two inner corners and inner edges when the outer pieces are fixed... but i am really not sure...
this leaves: 3^7*8!*12!*2^11/2*4*4/2*16!/(4!^2*2^4)*24!/(4!^6)/4=
637604789150832843817394015840501760000000000 or 6.37*10^44
i am also not sure about the others since i dont have them... (add them if you want)
2. how do you solve them
i found an interestind site proposing solution methods: http://tw.myblog.yahoo.com/jclei0411/article?mid=3359&prev=3387&next=3337
(my venus cube is still unsolved since i want to find out how to do it on my own) feel free to discuss solution methods here.
1. how many possible states do they have? (and they are different)
for venus (the only one i have) it should be: (venus is where two opoosite faces are "1" and the rest is "0")
3^7*8! <- outer corners
12!*2^11 <- outer edges
/2 <- because you cant swap two outer pieces alone without swapping two different outer pieces
4*4/2 <- the set of inner edges that can only rotate around U and D (yes really)
16!/(4!^2*2^4) <- the rest of the inner edges
24!/(4!^6) <- inner corners
/4 <- i am not sure about this. i'd say you cant swap two inner corners and inner edges when the outer pieces are fixed... but i am really not sure...
this leaves: 3^7*8!*12!*2^11/2*4*4/2*16!/(4!^2*2^4)*24!/(4!^6)/4=
637604789150832843817394015840501760000000000 or 6.37*10^44
i am also not sure about the others since i dont have them... (add them if you want)
2. how do you solve them
i found an interestind site proposing solution methods: http://tw.myblog.yahoo.com/jclei0411/article?mid=3359&prev=3387&next=3337
(my venus cube is still unsolved since i want to find out how to do it on my own) feel free to discuss solution methods here.
