Proposal - system for orienting LL edges during F2L

pipkiksass

Veteran
Joined
Jan 1, 2013
Messages
1,081
YouTube
Visit Channel
I've recently been thinking about working on a set of algs for inserting the last F2L pair while orienting all LL edges, leaving a corners-only OLL. Kind of like winter variation, but orienting edges instead of corners. I believe there should be less cases than Winter variation, but this is pending further analysis. I'd be interested to hear if anyone would find this interesting, think it might be useful, or if it already exists, but I haven't been able to find it!? For now I'll call it the Pip variation!

As there are only 27 possible OLL states after Pip variation (:p) this would mean a 1/27 instead of 1/216 chance of OLL skip. Not as good as Winter variation, but still pretty good!

Using full COLL from here would give a 1/12 chance of PLL skip (instead of 1/72) [1/12 chance of H perm, 1/6 chance of Z perm and the remaining 3/4 chance of a U perm].

The overall chance of a full LL skip with this method would be 1/324, rather than 1/15,552 (i.e. a 48x greater chance of full LL skip).

Any thoughts?
 
The overall chance of a full LL skip with this method would be 1/324, rather than 1/15,552 (i.e. a 48x greater chance of full LL skip).

Any thoughts?

That is incorrect. You don't actually increase the chances of a full LL skip by saying you will use COLL/EPLL instead of OCLL/PLL. You only increase the chance that the last step will be skipped, not the whole last layer.

You chance of a Full LL skip would include any LL case that has edges oriented while WV includes all LL cases with corners oriented (assuming edges are not pre-oriented). What your proposing actually would have a lower chance of a full LL skip than WV.


I don't know if this is a very good option because it is not too difficult to intuitively orient edges while solving F2L where corners are much more difficult to orient efficiently.
 
That is incorrect. You don't actually increase the chances of a full LL skip by saying you will use COLL/EPLL instead of OCLL/PLL. You only increase the chance that the last step will be skipped, not the whole last layer.

You are right, it's 1/27 * 1/72 = 1/1944. I didn't think about the fact that COLL influences the PLL, and so any PLL case is still possible. Thanks for pointing that out.

You chance of a Full LL skip would include any LL case that has edges oriented while WV includes all LL cases with corners oriented (assuming edges are not pre-oriented). What your proposing actually would have a lower chance of a full LL skip than WV.

D'oh!

I don't know if this is a very good option because it is not too difficult to intuitively orient edges while solving F2L where corners are much more difficult to orient efficiently.

Fair enough. I'd already decided not to go ahead with this - but I find the maths interesting nonetheless. I appreciate your input. :-D
 
Back
Top