PDQF Method

PDQF, or Pseudo Domino Quadrangular Francisco, is an experimental method created in December 2019 by Rowan Fortier. It was completely forgotten about, until it was rediscovered, and then fully developed in August of 2020. PDQF is primarily based on Domino Reduction, the Belt Method, and a little bit of Quadrangular Francisco.
Contents
Steps
1. EOEdge (EOLine but with the BL & FL edges)
2. Separation + Domino Reduction
2a. Make a pseudo1x2x3 rectangle on the D face with the D color. Put this rectangle under the EoEdge
2b. Make a pseudo square in the back left (like a cross edge + F2L pair, but pseudo)
2c. Make a pseudo F2L pair and use Winter Variation to insert the pair while orienting the U layer corners. At this point, the D and U colours should be on separate sides
3. Use PLLP, PLL algorithms with parity, to solve the top layer. Then do an x2 or z2 rotation
4. Use PLL to finish solving the cube
Statistics
70 algorithms. 27 Winter Variation, 22 PLLP, & 21 PLL
Average movecount should be around 5055, but more like <60 for humans
Pros
 Fewer algorithms than CFOP
 After EOEdge, the solve only needs <RUF> & <MU> moves to solve the cube
 You can predict PLL while building the pseudo1x2x3 rectangle
 PLLP can have just as good recognition as PLL
Cons
 x2 or z2 rotation takes a lot of time
 Having 3 algorithmic steps in a row (WV, PLLP, PLL) can be tiring
 Pseudo1x2x3 rectangle uses D moves a lot and has bad lookahead
 PLLP algorithms are worse than PLL algorithms
Example Solves
Example Solve:
B2 D B2 L2 D2 R2 U2 B2 U F2 U' B L2 R2 D2 R' U' R' U' L' (White top, green front)
EOEdge: R2 L F L’ F2
Pseudo1x2x3: R U R’ D M’ U2 M D2
Square: U R U’ R’ U’ R
Pair: U R U2 R’ U
WV: R U R2 U’ R2 U’ R2 U2 R
PLLP: U’ R U' F U' R' U' R U F' M2 U2 M2 R' x2
PLL: U2 R U R’ U’ R’ F R2 U’ R’ U’ R U R’ F’ D
Moves: 63
Example Solve 2:
D2 L2 D' R2 U B2 U2 L2 B2 R2 D L' B2 U' R2 U2 B R2 U2 R' F2 (White top, green front)
EOEdge: R’ F2 U2 B’ L’ B2
Pseudo1x2x3: D U R2 D U R2 D
Square: U2 R2 U2 R
(Pair skip)
WV: R U’ R’ U R U’ R’ U R U2 R’
PLL: M2 U’ M2 U2 M2 U’ M2 U x2
PLL: (r D r’ U2)*5
Moves: 56
Variants
PDQF2:
1. EOEdge (EOLine but with the BL & FL edges)
2. Separation + Domino Reduction
2a. Make a pseudo1x2x3 rectangle on the D face with the D color. Put this rectangle under the EoEdge
2b. Make a pseudo right block
3. Use COLL to solve the corners
4. Use EPLLP (EPLL+EPLL algs with parity) to solve the top layer. Then do a x2 or z2 rotation
5. Use PLL to solve the cube
PDQF3:
1. EOEdge (EOLine but with the BL & FL edges)
2. Separation + Domino Reduction
2a. Make a pseudo1x2x3 rectangle on the D face with the D color. Put this rectangle under the EoEdge
2b. Make a pseudo square in the back left (like a cross edge + F2L pair, but pseudo)
2c. Make a pseudo F2L pair and use Winter Variation to insert the pair while orienting the U layer corners. At this point, the D and U colours should be on separate sides
3. Use CP algorithms (not generated yet) to permute the corners on both layers
4. Use L8E algorithms to permute the edges on both sides
Improvements
 Adjust the D face before doing a PLLP algorithm to influence which PLL you will get
 Use OLS algorithms to reduce movecount instead of having to do Winter Variation