Speedsolving.com Wiki - User contributions [en]

Superflip

2010-11-18T23:50:46Z

Bryce: fixed STM solution #

[[Image:Superflip.png|frame|The superflip.]]

The '''superflip''' is a famous position of the [[3x3x3]] where all corners are solved, and all edges are in the correct location but flipped. Despite its symmetry, this is an extremely difficult pattern, which is known to require 20 moves [[HTM]] to solve (in fact it was the first position that was proven to require that many moves). No position has ever been found which requires more moves than this, so many people believe that 20 moves is in fact the maximum number of moves that any 3x3 pattern could take to solve.

The superflip also has a few interesting properties because of the way it interacts with the [[Rubik's cube group]]. If you do a [[commutator]] with the superflip and any other algorithm, you will always end up back at the solved state; the superflip is also self-inverse, which means doing it twice will bring you back to the solved state. Also, because the superflip is completely symmetrical but not solved, any move will bring it to a position that is easier to solve.

One optimal solution in HTM for the superflip is U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2. The superflip also requires a minimum of 24 quarter turns to solve, and a minimum of 16 slice turns. One example of an optimal solution which requires 16 slice turns is S U B2 D2 M D' M2 S U R2 D M2 U B2 U S2. Another solution which requires 24 turns [[STM]] is MU'MU'MU'MU'yz'MU'MU'MU'MU'yz'MU'MU'MU'MU'. This is particularly easy to remember, as it is simply (MU')x4 followed by a yz'. This is repeated three times.

== See Also ==
* [[Super Twist]]
* [[God's Algorithm]]
* [[Puzzle Theory]]

[[Category:Puzzle Theory]]
[[Category:Algorithms]]

COALL

2010-09-16T12:14:55Z

Bryce:

{{Method Infobox
|name=Coall
|image=Winter variation.gif
|proposers=
|year=
|anames=ww
|variants=[[Zb]], [[Fridrich]], [[Vh]]
|steps=4
|algs=63(unique)+21(pll)+27(f2ll w/o mirrors)= 111(all)
|moves=est. 35-50
|purpose=
* [[Speedsolving]]
}}
Coall(corner oreintation and last layer) is an experimental 3x3 method that is a variation of the zb method. that orients the corners when inserting the last f2l pair (Winter variation). Then solves edge orientation and pll in one step. Orienting the corners first rather than orienting edges(like in zb) has the advantage of using less algorithms(using only 111 total compared to zb's 300). It is unknown if and very doudtful if it has ever been used before.

To solve using Coall first solve cross and 3 f2l slots like in fridrich(or any way one wishes). Next make the last f2l pair and use the Winter variation to insert it to orient last layer corners. Finnaly solve eoll and pll in one algorithm.

Pros
Uses a fairly large amount of algorithms(21 of which are pll algs).Almost as fast as zb using much less algorithms. Fair reconization.

Cons
Has some bad algorithms and having to do another look when enserting F2l for Co in [[Winter variation]].

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Experimental Methods]]

COALL

2010-09-16T12:14:05Z

Bryce: moved Ww method to Coall: Already been done

{{Method Infobox
|name=WW
|image=Winter variation.gif
|proposers=
|year=
|anames=ww
|variants=[[Zb]], [[Fridrich]], [[Vh]]
|steps=4
|algs=63(unique)+21(pll)+27(f2ll w/o mirrors)= 111(all)
|moves=est. 35-50
|purpose=
* [[Speedsolving]]
}}
Coall(corner oreintation and last layer) is an experimental 3x3 method that is a variation of the zb method. that orients the corners when inserting the last f2l pair (Winter variation). Then solves edge orientation and pll in one step. Orienting the corners first rather than orienting edges(like in zb) has the advantage of using less algorithms(using only 111 total compared to zb's 300). It is unknown if and very doudtful if it has ever been used before.

To solve using Coall first solve cross and 3 f2l slots like in fridrich(or any way one wishes). Next make the last f2l pair and use the Winter variation to insert it to orient last layer corners. Finnaly solve eoll and pll in one algorithm.

Pros
Uses a fairly large amount of algorithms(21 of which are pll algs).Almost as fast as zb using much less algorithms. Fair reconization.

Cons
Has some bad algorithms and having to do another look when enserting F2l for Co in [[Winter variation]].

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Experimental Methods]]

COALL

2010-09-16T12:02:20Z

Bryce:

COALL

2010-09-16T05:28:58Z

Bryce:

{{Method Infobox
|name=WW
|image=Winter variation.gif
|proposers=[[Bryce Whittaker]]
|year=2010
|anames=Whittaker-Winter,
|variants=[[Zb]], [[Fridrich]]
|steps=3
|algs=63(unique)+21(pll)+27(f2ll w/o mirrors)= 111(all)
|moves=est. 35-50
|purpose=
* [[Speedsolving]]
}}
'''WW'''(Whittaker-Winter) is an experimental 3x3 method that is a variation of the zb method. that orients the corners when inserting the last f2l pair (Winter variation). Then solves edge orientation and pll in one step. Orienting the corners first rather than orienting edges(like in zb) has the advantage of using far less algorithms(using only 90 total compared to zb's 300). It is unknown if and very doudtful if it has ever been used before.

To solve using WW first solve cross and 3 f2l slots like in fridrich(or any way one wishes). Next use the Winter variation to insert the last f2l pair and orient last layer corners. Finnaly solve eoll and pll in one algorithm.

Pros
Uses a fairly large amount of algorithms(21 of which are pll algs). As fast(or faster; better reconization) as zb using much less algorithms. Fair reconization.

Cons
It is unknown if the downfall of this method is having bad algorithms,or bad look ahead. Never been used.

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Experimental Methods]]

COALL

2010-09-16T04:55:23Z

Bryce:

{{Method Infobox
|name=WW
|image=
|proposers=[[Bryce Whittaker]]
|year=2010
|anames=Whittaker-Winter,
|variants=[[Zb]], [[Fridrich]]
|steps=3
|algs=90
|moves=est. 35-50
|purpose=
* [[Speedsolving]]
}}
'''WW'''(Whittaker-Winter) is an experimental 3x3 method that is a variation of the zb method. that orients the corners when inserting the last f2l pair (Winter variation). Then solves edge orientation and pll in one step. Orienting the corners first rather than orienting edges(like in zb) has the advantage of using far less algorithms(using only 90 total compared to zb's 300). It is unknown if and very doudtful if it has ever been used before.

To solve using WW first solve cross and 3 f2l slots like in fridrich(or any way one wishes). Next use the Winter variation to insert the last f2l pair and orient last layer corners. Finnaly solve eoll and pll in one algorithm.

Pros
Uses a fairly large amount of algorithms(21 of which are pll algs). Should be just as fast(or faster since less time remebering alot of algs) as zb using much less algorithms.
Cons
It is unknown if the downfall of this method is having bad algorithms,or bad look ahead/ reconization.Never been used.

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Experimental Methods]]

COALL

2010-09-16T04:50:26Z

Bryce: added categorys

'''WW'''(Whittaker-Winter) is an experimental 3x3 method that is a variation of the zb method. that orients the corners when inserting the last f2l pair (Winter variation). Then solves edge orientation and pll in one step. Orienting the corners first rather than orienting edges(like in zb) has the advantage of using far less algorithms(using only 90 total compared to zb's 300). It is unknown if and very doudtful if it has ever been used before.

To solve using WW first solve cross and 3 f2l slots like in fridrich(or any way one wishes). Next use the Winter variation to insert the last f2l pair and orient last layer corners. Finnaly solve eoll and pll in one algorithm.

Pros
Uses a fairly large amount of algorithms(21 of which are pll algs). Should be just as fast(or faster since less time remebering alot of algs) as zb using much less algorithms.
Cons
It is unknown if the downfall of this method is having bad algorithms,or bad look ahead/ reconization.Never been used.

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Experimental Methods]]

COALL

2010-09-16T04:35:05Z

Bryce:

COALL

2010-09-16T04:33:27Z

Bryce: The method I thought of.

'''WW'''(Whittaker-Winter) is an experimental 3x3 method that is a variation of the zb method. that orients the corners when inserting the last f2l pair (Winter variation). Then solves edge orientation and pll in one step. Orienting the corners first rather than orienting edges(like in zb) has the advantage of using far less algorithms(using only 90 total compared to zb's 300). It is unknown if and very doudtful if it has ever been used before.

To solve using WW first solve cross and 3 f2l slots like in fridrich(or any way one wishes). Next use the Winter variation to insert the last f2l pair and orient last layer corners. Finnaly solve epll and pll in one algorithm.

Pros
Uses a fairly large amount of algorithms(21 of which are pll algs). Should be just as fast(or faster since less time remebering alot of algs) as zb using much less algorithms.
Cons
It is unknown if the downfall of this method is having bad algorithms,or bad look ahead/ reconization.Never been used.