Message #4086

From: Luna Harran <scarecrowfish@gmail.com>
Subject: Re: [MC4D] 2x2x2x2: List of useful algorithms (please add yours)
Date: Tue, 31 Jul 2018 17:03:15 +0100

Here’s my (still massively incomplete) set of algs for 2^4 OLC. They’re
designed for the virtual puzzle, but some can be used easily on the
physical puzzle.

http://wiki.superliminal.com/wiki/2%5E4_algs

Feel free to add your own algs or cases, just try to keep to the system
already there.

~Luna

On Sat, 28 Jul 2018, 22:46 Marc Ringuette ringuette@solarmirror.com
[4D_Cubing], <4D_Cubing@yahoogroups.com> wrote:

>
>
> Let’s start compiling a list of useful 2x2x2x2 algorithms, both physical
> and virtual. Feel free to provide them either written out, or on
> video, or as MC4D macros, and in whatever move set you like.
>
> I suggest that we put a fairly strong emphasis on fewest-moves as a
> primary criterion for a good algorithm.
>
> Does anybody have a collection of move-efficient algorithms for the
> virtual 2^4 or 3^4 ?
>
> My focus is on generally useful algorithms like 3-cycles. However,
> toward the bottom I have put some important "translation" algorithms for
> copying virtual moves on the physical puzzle and vice versa.
>
> More, please!!
>
> Cheers
> Marc
>
> =============
>
> 2x2x2x2 algorithm list v1.00:
>
> 3-cycle: https://www.youtube.com/watch?v=S8hm3CupPJA (16 moves
> canonical)
> in Marc’s virtual+physical notation: LF’ (FO2 LO’ FO2 LO FO2)
> LF OR2 LF’ (FO2 LO’ FO2 LO FO2) LF OR2
> in ROIL xyz notation: Lz’ (Fz2 Lx Fz2 Lx’ Fz2) Lz Ox2 Lz’
> (Fz2 Lx Fz2 Lx’ Fz2) Lz Ox2
>
> Two 2-cycles: (34 moves canonical, by commuting the above 3-cycle with
> Ry – but I’m sure we can do far better)
>
> Two opposite twists: https://youtu.be/k6ZSu0xOPbQ?t=1m50s (14 moves
> physical using ROIL Zero)
> in ROIL Zero notation: R [ R U R’ U R U2 R’ B U2 B’ U’ B U’ B’ ]
> Translated to 28 moves canonical: Ox Rz Ox Rz’ Ox’ Rz Ox Rz’ Ox
> Rz Ox2 Rz’ Ox’ Ry Ox Rz Ox2 Rz’ Ox’ Rz Ox’ Rz’ Ox Rz Ox’ Rz’
> Ox’ Ry’
>
> Monoflip: https://www.youtube.com/watch?v=k6ZSu0xOPbQ (35 moves
> physical using ROIL Zero, 88 moves virtual)
>
> Monoflip, solving In+Out faces only: (12 moves physical using ROIL
> Zero, 3 cases)
> RUFI by x2: Rzy I [ U F U’ F U F2 U’ ] Iy Lx2 Iy’ Rz’
> RUFI by y2: Ry’z’ I [ U F U’ F U F2 U’ ] Iy Lx2 Iy’ Ry
> RUFI by z2: Rzy Iy Lx2 Iy’ I [ U F2 U’ F’ U F’ U’ ] Rz’
> (those are sideways Sune, Sune, and Antisune, inside the brackets)
>
> Exchange a twist between L and R subcubes:
> from Andy F: Iy2 R [ U’ R’ U’ R U2 ] Iy2 (7 moves physical
> using ROIL Zero, preserves neither L nor R fully, use before first OLL)
>
> Gyros:
> Melinda’s gyro (which is a FOro to Marc):
> https://www.youtube.com/watch?v=d2Fh_1m0UVY
> ROIL FOro: Iy Oy’ Rx2 Bz2 Uy2 Rx2
> https://www.youtube.com/watch?v=3gvrda5fMto
> FUro using double long restack:
> https://www.youtube.com/watch?v=htTTn7qY35M
>
> Physical Iy on virtual: https://www.youtube.com/watch?v=zaYY7T1zwE0
> Based on this from Michael Gottlieb: Iy (physical) = IU’ RO2 IF
> RO2 IU RO2 IF’ RO2 IU (virtual)
>
> Virtual IU and IF on physical:
> IU (virt) == I [ F2 U2 R2 F B ] (phys) (ROIL Zero, from Michael
> Gottlieb)
> IF (virt) == I [ U2 F2 L2 U D ] (phys) (ROIL Zero, from Michael
> Gottlieb)
>
> [end]
>
>
>