Kirjava
Colourful
MS2F
2 ATM
3 STM
5 HTM
4 SQTM
7 QTM
Metrics are fun.
2 ATM
3 STM
5 HTM
4 SQTM
7 QTM
Metrics are fun.
MS2F
2 ATM
3 STM
5 HTM
4 SQTM
7 QTM
Metrics are fun.
MS2F
2 ATM
3 STM
5 HTM
4 SQTM
7 QTM
Metrics are fun.
what are the highest orders for the other cubes? (2x2, 3x3 and 4x4)
I found these two papers online which concurs with the 765765 being the highest order for the 4x4x4. The first is in German, but the 2nd one appears to be very much related and in English.2x2 - 45
3x3 - 1260 without rotations, 2520 with rotations
4x4 - I think it's 765765
Confirmed (in SiGN: U l 2B' x'). 4 block turns is optimal, unless there was an error in my program.These papers give the following order-765765 maneuver: U Lw b' x'
Right, they're not. I like the "until it's solved" definition more, though, because it matches the way you'd play around with such sequences on a real cube - by doing them until the cube is solved again.On cubing sites, the order of a maneuver is often defined as the smallest number of times the maneuver must be performed (starting from a solved state) to make the cube solved again. These definitions are not equivalent!
Hmm, interesting. Where do these numbers come from?For the <U,D,L,R,F,B> 3x3x3 supercube group, the maximum order of an element is 1980. I'm not aware if the maximum order of the <U,x,y,z> 3x3x3 supercube group has been reported before. I am fairly convinced it is 5040. An element having that order is:
R L2 U S2 D L2 U L' E2 L U Rw2 D2 R2 D' L' E2 S L S Lw E' L' E' S2
If 5040 is not high enough for you, we can consider the illegal 3x3x3 supercube group (where disassembly reassembly is allowed, but not restickering) with cube rotations allowed. I'm pretty sure the highest order in that group is 7920.
For the <U,D,L,R,F,B> 3x3x3 supercube group, the maximum order of an element is 1980. I'm not aware if the maximum order of the <U,x,y,z> 3x3x3 supercube group has been reported before. I am fairly convinced it is 5040. An element having that order is:
R L2 U S2 D L2 U L' E2 L U Rw2 D2 R2 D' L' E2 S L S Lw E' L' E' S2
If 5040 is not high enough for you, we can consider the illegal 3x3x3 supercube group (where disassembly reassembly is allowed, but not restickering) with cube rotations allowed. I'm pretty sure the highest order in that group is 7920.
Hmm, interesting. Where do these numbers come from?
Is there a non-matching Block recognition bonus hidden somewhere?Alright, so what about an LL method that orients the corners and ensures that the edges aren't opposite each other?
15 + 12 (PLL) = 27
Is there a non-matching Block recognition bonus hidden somewhere?
U friend
I did some calculations and I'm pretty certain 10 realcubes underwater is possible. (Anyone agree/disagree?)