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4x4 Parity

by Luke Terzich 04 Nov 2024

Learn how to solve the 4x4 Parity cases. 

Why do I get Parity??

Parity occurs on all 4x4 cubes because they have no fixed centers. But hold on, what does that mean? On a 3x3, the center pieces cannot be moved, Yellow will always be opposite white, Red opposite Orange and Green opposite Blue. 

In basic terms, on a 4x4 you actually build these centers yourself. In the images below, you can see the white face has a logo on one of center pieces, this piece has 4 locations it can actually go in, either 1 of the 4 center blocks that makes up the center 2x2 block. If you put it in the wrong place, you'll get parity.

What is 4x4 OLL Parity?

4x4 OLL Parity occurs when you 4x4 has 2 flipped adjacent edge pieces. There is only case of 4x4 OLL parity and luckily, it's quite an easy algorithm to remember.

What is 4x4 PLL Parity?

4x4 PLL parity consists of 4 cases where your cube appears to be unsolvable when in a 3x3 state. For example, you may have 2 adjacent (or diagonal) corners that need swapping, this is not possible on a standard 3x3 cube.

OLL #1 Image
OLL #1
r2 B2 U2 l U2 r' U2 r U2 F2 r F2 l' B2 r2

PLL #1 Image
PLL #1
r2 U2 r2 Uw2 r2 u2

PLL #2 Image
PLL #2
L2 D Fw2 Lw2 F2 l2 F2 Lw2 Fw2 D' L2

PLL #3 Image
PLL #3
Uw2 Lw2 U2 l2 U2 Lw2 Uw2 F' U' F U F R' F2 U F U F' U' F R

PLL #4 Image
PLL #4
Uw2 Lw2 U2 l2 U2 Lw2 Uw2 R U' L U2 R' U R L' U' L U2 R' U L' U

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