@pjk can we get a big brain react for stuff like this?God's number for solving 1 side on the 3x3 Cube?
I have a feature request for my mosaicbuilding tool to output "scrambles" to apply to solved cubes and make mosaics even faster. I'm thinking of implementing a breadth first search to find shortest solutions for each cube. I've done this already
in C++ but here we're talking about JS and a few hundreds of cubes so I'm trying to come up with the best approach atm in case I have free time for this stuff which I always happen to find because I love doing stupid things that literally only a few people on the planet may find useful
For #3 and #4:I don't mind it being explained with group theory if that gives a good description of why.
I can see why you're confused about this, as the same knowledge to derive an algorithm for the single dedge flip!Is there an explanation why you (without affecting anything else):
Can swap 2 edges and 2 corners
I don't mind it being explained with group theory if that gives a good description of why.
I don't think this is a fair comparison. On the surface, it looks like WV has only 27 algs and COLL has 42 (40 not counting PLL), but:What's still good is WV is less algs. Of course 40 algs with harder recognition sucks in front of 27 algs with somewhat easier recognition.
So should i just learn wv and zbll?COLL is a first step for learning ZBLL but by itself, it actually is not that great. WV on the other hand is actually great because you don't get OLL skips often and learning the easy cases helps and the odds of an OLL skip (With CFOP)is reduced from 1/216 to 1/8.
So, from the above facts, it is indeed WV FTW.
Moreover, COLL Recognition is hard at first and WV recognition is somewhat easier.
What's still good is WV is less algs. Of course 40 algs with harder recognition sucks in front of 27 algs with somewhat easier recognition.
On top of all this, OLL skips are a big boost to solves if you have good PLL algs and fingertricks as they cut down at least a second or two from your times.
(I don't know full WV and I'm in the process of learning it. I know somewhere north of 15 cases but still it helps and all the stuff I've written above is all my experience. Btw I know almost all of COLL too.)
Ok thanks but does learning wv mean id never get a coll?I don't think this is a fair comparison. On the surface, it looks like WV has only 27 algs and COLL has 42 (40 not counting PLL), but:
(i) Most people skip the S/AS subsets of COLL, bringing that down to 28 algs. Or really, 28 − 5 = 23 new algs on top of OLL/PLL. Contrast with 27 − 2 = 25 new algs for WV.
(ii) WV is 25 algs for one slot in one specific orientation only, and 50 if you want to be able to do it with two slots. If you want to count mirrors as the same cases, then you should do the same for COLL as well, which brings the alg counts from
50 (WV) versus 23 (COLL sans S/AS) versus 33 (full COLL)
25 (WV) versus 18 (COLL sans S/AS) versus 23 (full COLL).
Actually you could get COLL with some sledge inserts or advanced F2L solutions for last pair that don‘t use R U‘ R‘ inserts.Learn OLL/PLL if you're doing CFOP. Then learn the 4 or 5 worthwhile WV cases that are easy (R U' R', R U2 R', R U R' U' R U' R', L' U R U' R' L, L' U2 R U R' U2 L). Then learn the COLL cases that are worth it (all of TUL, all but one of H and Pi). Full of either set isn't worth it.
Yes, WV means you never get COLL.
Now I'm thinking that the centers can spin separately from each other for 4x4x4x4x4x4 for 4096 different ways. Can anyone confirm or deny my guess?
^Actually, it´s (4^6)/2 = 2048. One quarter turn rotates the center piece by 90 degrees, but also makes corners and edges unsolvable while keeping that center piece rotated - so only 1/2 of combinations which can be reached by executing quarter turns are solvable.
What you are describing is a supercube, if you are only interested in centers, click here.
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