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For the Ja perm I use the mirror of the Jb perm, which for me is as quick to execute as the Jb perm and both the Ja and Jb are my favourite perms because they are so quick to execute.

[L' U' L F] [L' U' L U] [L F'] [L2 U L] U
 
Pure COs with <R,U,D>

I'm sure this is already known, but this is a new discovery for me (and maybe for others too):

Here is a farely easy and well known algorithm for pure corner orientation, which rotates only DFL and DFR:

[([R, U])2, D] = [(R U R' U')2, D] = R U R' U' R U R' U' D U R U' R' U R U' R' D' =
R U R' U' R U R' D R U' R' U R U' R' D' (16 moves)

This uses only R, U and D. Based on that, I figured out a pure corner orientation with equal length, using R, U and D, but rotates DFL and UFL. The idea is to setup UFL to DFR with R U' R':

[[R:U'] : [([R, U])2, D]] = [R U' R' : [(R U R' U')2, D]] = R U' R' R U R' U' R U R' U' D U R U' R' U R U' R' D' R U R' =
U' R U R' D R U' R' U R U' R' D' R U R' (16 moves)

And for DFL and UFR: [U : previous_one] =
R U R' D R U' R' U R U' R' D' R U R' U' (16 moves)
 
WV/WVCP from back if you prefer RUF to RUL: R' F' R U R' U' R' F R2
Found this from the first part of an F perm.

E: adj flip
M' U' M U2 M' U' M' U' M' U2 M U' M2, or swap U's -> Us
 
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New Y Perm Algorithm

I'm pretty sure this has never been posted before I just 'discovered' it

I did an OLL 30 algorithm that I use for the case F R' F R2 U' R' U' R U R' F2

and I noticed when I did that and finished solving it from that algorithm with an F R U R' U' F' it came to a Y Perm

and when I cancelled them both into F R' F R2 U' R' U' R U R' F' R U R' U' F' I found it to not be a bad alg

F R U' R' U' R U R' F' R U R' U' R' F R F'
F R' F R2 U' R' U' R U R' F' R U R' U' F'

has one less move than Y perm and the fingertrick is decent

sorry if this is on the wrong topic
 
Awesome N perm algorithms!

First, I want to say that all credit goes to a guy on reddit, called Thatcraftingfox:

Na perm: (r' D r U2)x5

Nb perm: (r D r' U2)x5

Also note, that you can use D or D' for either of them, which is good because I prefer D'

Thank you
 
R' U2 R (F R U' R' U' R U R' F') R' U2 R U' R' U R -take out back pair with U2, do OLL 37 alg, solve pair into back-

R U R' F' L' U' L F

R' U2 R (F U R U' R' F') R' U' R U2 R' U R - take out back pair with U2, F inverse sexy F', solve pair into back-

P Shape 1 look last layers, created algs myself I promise you
 
Here's two perms that are cousins
They both use the same core alg: (R U2 R2 U2 R2 U2 R) which swaps UF-UR and RU-RD edges:
H-Perm (11f): R2 U2 (R U2 R2 U2 R2 U2 R) R2 U2
Z-Perm (15f): R2 U R2 U (R U2 R2 U2 R2 U2 R) U' R2 U' R2
The set-up moves simply place the edges to be swapped in the UF-UR and RU-RD slots
You place the edges, do the perm, and then put the edges back to their home slots
It's easy to learn - you can work the core perm into muscle memory as a stand-alone alg
Then add the pre & post moves for the type of perm you want to do
It's easy to see what the alg is actually doing
For me, understanding how an alg works is key to memorizing it

I prefer RU or LU algs because they lend themselves to my style of OH solving
Which - at the moment - is a variation of Mr Lars Petrus' technique

Have fun
- waw -
 
r U2 R' U' M (U R U' R') r U' r'

or

r U2 R' U' r' R (U R U' R') r U' r'

and it's inverses are U Perms from the back, the alg shown is a Ub Perm from the back. I don't think these have been posted anywhere before, they're pretty good actually
 
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