RKT Cancel Algorithms

These won’t help you solve a puzzle for the first time

You do not need to learn RKT cancel algs to solve any puzzle. RKT can and should be done completely intuitively unless you are already speedsolving at a high level and wish to improve this step.

• See Notation and Commutator notation first.
• Single letter moves are the “Big 3D” moves. (R = RO, U = UO, etc.)

RKT Cancel Algorithms

4⁴ edge swap parity

Image	Description	RKT Cancel Algorithm
	UF and UR edges swapped	[f' l': [[r' U' l': D2], Iy2]]

EOLL

Image	Name	RKT Cancel Algorithm
	Dots	F (R U R' U') F' 2Oy2 Fw (R U R' U') Fw'
	Backwards L	F (R U R' U') {1-2}Ozx2 (R U R' U') {1-2}Ozx2 F'
	Line	F (R U {1-2}Ozx2 R' U' {1-2}Ozx2) F'

OCLL

Image	Name	RKT Cancel Algorithm
	Sune	R U R' {1-2}Ozx2 U R {1-2}Ozx2 U2 R'
	Antisune	R U2 {1-2}Ozx2 R' U' {1-2}Ozx2 R U' R'
	H	R U2 R' U' {1-2}Ozx2 R U R' U' {1-2}Ozx2 R U' R'
	U	(R U R' U R U2 R') Iy (R U2 R' U' R U' R') Iy'
	T	(R U R' U R U2 R') Iy' (R U2 R' U' R U' R') Iy
	L	(R U R' U R U2 R') Iy2 (R U2 R' U' R U' R') Iy2
	Pi	R U2 {1-2}Ozx2 R2 U' R2 U' R2 {1-2}Ozx2 U2 R

CPLL

Image	Name	RKT Cancel Algorithm
	Aa	(Ix) R' U {1-2}Oz R' D2 R {1-2}Oz' U' R' D2 {1-2}Oz' R2
	Ab	(Ix) R2 {1-2}Oz D2 R U {1-2}Oz R' D2 R {1-2}Oz' U' R
	Na	R U' L U2 R' U L' {1-2}Oy2 R U' L U2 R' U L'
TODO	Nb

EPLL

Image	Name	RKT Cancel Algorithm
	Ub	R2 U R U {1-2}Ozx2 R' U' R' U' R' {1-2}Ozx2 U R'
	Ua	R U' {1-2}Ozx2 R U R U R {1-2}Ozx2 U' R' U' R2
	Z	(R U' R U R U R U' R' U' R2) Iy2 (R2 U R U R' U' R' U' R' U R') Iy2 alternate: M2 U' M U2 M' Iy2 M U2 M' U M2
	H	M2 U' M2 U2 M Iy2 M' U2 M Iy2 M U M2 alternate: R2 U2 R U2 {1-2}Ozx2 R2 U2 R2 {1-2}Ozx2 U2 R U2 R2

2RKT Cancel Algorithms

Image	Description	2RKT Cancel Algorithm
	Double Sexy Move	R U {1-2}Ozx2 R' U' {1-2}Azx2 R U {1-2}Ozx2 R' U' {1-2}Azx2

OCLL

Image	Name	RKT Cancel Algorithm
	H	R U2 {1-2}Azx2 R' U' {1-2}Ozx2 R U {1-2}Azx2 R' U' {1-2}Ozx2 R U' R'
	U	(R U R' {1-2}Azx2 U R {1-2}Azx2 U2 R') Iy (R U2 {1-2}Azx2 R' U' {1-2}Azx2 R U' R') Iy'
	T	(R U R' {1-2}Azx2U R {1-2}Azx2 U2 R') Iy' (R U2 {1-2}Azx2 R' U' {1-2}Azx2 R U' R') Iy
	L	(R U R' {1-2}Azx2 U R {1-2}Azx2 U2 R') Iy2 (R U2 {1-2}Azx2 R' U' {1-2}Azx2 R U' R') Iy2

EPLL

Image	Name	RKT Cancel Algorithm
	Z	(R U' {1-2}Azx2R U R U R {1-2}Azx2 U' R' U' R2) Iy2 (R2 U R U {1-2}Azx2 R' U' R' U' R' {1-2}Azx2 U R') Iy2