God's algorithm discovered for OLL parity edge flip (theory)

[Christopher Mowla]

would you mind to post the Holy Grail in standard notation - thanks.

I prefer not to for the 6x6x6 and 7x7x7 (just see the cube applet below for them, play one move at a time, and write it in your own notation).

On the 4x4x4:
z (Dd)' M D (Ll)' (Uu)' r' (Uu) (Ll) (Uu)' (Ll)'2 (Bb)' r' (Bb) (Rr)' R' u y' M' (Uu) x2 z'
= z Dw' M D Lw' Uw' r' Uw Lw Uw' Lw'2 Bw' r' Bw Rw' R' u y' M' Uw x2 z'

For the 5x5x5, just include the central slice with the bold moves above.


On the inner-orbit of the 6X6X6: 20q/19h
z 3d' 4m D 3l' 3u' 3R' 3u 3l 3u' 3l'2 2R' 3b' 3R' 3b 3r' R' 2-3u y' 4m' 3u x2 z'

On the outer-orbit of the 6X6X6: 19q/19h
z 3d' 4m D 3l' 3u' 2R' 3u 3l 3u' 3l'2 3R' 3b' 2R' 3b 3r' R' 2-3u y' 4m' 3u x2 z'
=
z 3d' 4m D 3l' 3u' 2R' 3u 3l 3u' 4l 3l 3b' 2R' 3b 3r' R' 2-3u y' 4m' 3u x2 z'

On the inner-orbit of the 7X7X7: 20q/19h
z 3d' 5m D 4l' 3u' 3R' 3u 4l 3u' 4l'2 2R' 3b' 3R' 3b 3r' R' 2-4u y' 5m' 3u x2 z'

On the outer-orbit of the 7X7X7: 19q/19h
z 3d' 5m D 4l' 3u' 2R' 3u 4l 3u' 4l'2 3R' 3b' 2R' 3b 3r' R' 2-4u y' 5m' 3u x2 z'
=
z 3d' 5m D 4l' 3u' 2R' 3u 4l 3u' 5l 4l 3b' 2R' 3b 3r' R' 2-4u y' 5m' 3u x2 z'