JQ method

JQ method Image above is showcasing CPSB state Information about the method Proposer: Jack Triton Proposed: 2024 Alt Names: JT, JQT, JTQ Variants: Advanced JQ No. Steps: 4 - 5 No. Algs: 10 - 91 Slash Counts: 20 - 40 Purpose(s): Speedsolving

The JQ method is a speedsolving method for the Square-1 puzzle. Shares some similarity with Roux, Lin and Screw (method).

Scrambled Square-1 >> Cube Shape >> First Block >> CPSB >> Pairing Edges >> L6PE >> Solved! The JQ Method is a method to solve the Square-1.

Steps

• 1. Turn the puzzle into a cubic shape.
• 2. Build the first block (Corner - Edge - Corner) on DL using any D corners.
• 3. CPSB (Corner Permute Second Block) [6 cases]

• 3-1. Create Corner - Edge on UFL, place the pair corner on DFR.
• 3-2. Recognize the case using 3 other corners on top and execute it.

• 4. Pairing Edges [3 cases]

Recognize the case by opposite edge pairs.

For example, White-Red edge and White-Orange edge is opposite edge pair.

• 5. L6PE (Last 6 Paired Edges) [1 parity, 3 useful algs]

Pros

• Like Roux, Screw (method) or Lin, having low number of algorithms (at least 15 algorithms) results in faster recognition of cases.
• CSP is not necessary (although to fasten the method, still needs to be implemented).
• Easy to look-a-head cases, especially for CPSB and Pairing Edges.

Cons

• Block building can be difficult for beginners to get used to it.
• While CPSB, forming corner-edge set would need practices to get used to it.

Advancements

Advancements with (Pr) means that it is proposed but the algorithms are not fully developed.

• 2-1 CPSB (24 cases)

Pair 2 (Corner-Edge) on top, 1 on bottom Second Block cases in every situation.

• Full CPSB (48 cases)

Pair 1 on top, 2 on bottom Second Block cases as well.
Knowing 2-1 CPSB results in knowing full cases because of edge relation.

• CPPE (Corner Permute Pairing Edge) (16 cases)

Proposed by xyzzy, this allows you to permute corner and pair edges at the same time.

• SFFB

While creating First block, form 2-1 or 1-2 pair of Second block as well.
This results in Full CPSB cases.

• BB (Both Blocks)

Form both First and Second blocks at the same time.
This results in CPPE cases.

• PES (Pairing Edge Slot) (36 cases)

Responding by the slot edge: UR or UF according the pattern, insert it to the right place while Pairing Edge.
This results in L4PE (7 cases).

Using CSP, you can solve entire cube on the last step.

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CPSB algs

Assume you have followed Step 3-1., look at the UB and UR faces.

• Both faces are paired

(4, -3) / (0, -3) / (3, 0) / (-3, 0) / (3, 6) / (-1, 0)

• UR is paired

(1, 0) / (-3, 0) / (-1, 0)

• UB is paired

(1, 0) / (0, -3) / (0, -3) / (3, 0) / (-3, 0) / (-3, 6) / (-1, 0)

• Both faces are opposite

(1, -3) / (3, 0) / (-3, 0) / (-3, 3) / (-1, 0)

• UR is opposite

(4, 6) / (3, 0) / (0, 3) / (6, 3) / (6, -3) / (-1, 0)

• UB is opposite

(4, 0) / (0, 3) / (3, 6) / (0, 3) / (0, 3) / (-1, 0)

Pairing Edge algs

• UF and UL are pair and UB and DF are pair

(1, 0) / (-3, 0) / (-3, 0) / (-4, -1) / (-2, 1) / (-3, 0) /

• UF and UB are pair and UR and DF are pair

(4, 0) / (3, 0) / (-3, 0) / (-1, -1) / (4, 1) / (-3, 0) /

• UF and UR are pair and UB and UL are pair

(1, 0) / (2, -1) / (4, 1) / (3, 0) / (-3, 0) / (5, -1) / (-2, 1) /

L6PE algs

• UL and UR Parity

/ (3, 3) / (-1, 0) /(2, -4) / (4, -2) / (0, -2) / (-4, 2) / (1, -5) / (3, 0) / (3, 3) / (3, 0)

• UF and UB, DF and DB

(1, 0) / (5, -1) / (1, 1) / (6, 0) /

• H-perm

(1, 0) / (5, -1) / (-5, 1) / (3, 0) / (5, -1) / (-5, 1) /

• Z-perm (UF and UL, UB and UR)

/ (3, 3) / (0, 3) / (1, 1) / (-1, -4) / (-3, -3) /

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See also

• List of methods
• Square-1 methods
• Roux n Skrew
• Vandenbergh
• Lin
• Screw (method)
• Roux on other puzzles

External links

• Video guide of JQ Method (English)
• Tutorial of JQ method with images (Japanese)
• Original post about JQ method and algorithms (English)
• Full CPSB
• Tutorial of Advanced JQ Method