Pyraminx‎ > ‎

## Overview

This method has two steps: the V and the last 4 edges. The V is 3 center pieces and 2 edges solved, which is basically one layer minus one edge. The V is solved intuitively. For the last 4 edges, there are 96 cases including the solved case, but this method can solve all the cases with visual cues and basic moves that cycles the pieces (e.g., R U R', L' U L, R' L' R L). However, not all the cases will be solved optimally using this method, but it is fairly fingertrick-friendly. This method solves 1 edge in a way that the last 3 edges can be solved in 3 or 4 moves plus adjusting the U layer, if necessary. This guide will assumes that you already know the notation and the names of the different types of piece for the pyraminx and some basic knowledge as well.

### The V

The V is 3 center pieces and 2 edges in the same layer permuted and oriented correctly. You should aim to solve this step with color neutrality and with less than 8 moves.  Place the V on the bottom with the unsolved edge in the front. The last center piece on the U layer does not have to be adjusted to its solved state yet.

### Last 4 Edges

At this point, you may encounter a case with one edge on the U layer already solved. "Solved" in this case means the edge is matching both of its adjacent centers. These cases can be solve in 3,4, or 6 moves plus adjusting the U layer before and/or after.  The cases with 3 or 4 moves are what we are trying to reduce the cases with 4 edges not solved down to, avoiding the 6-move cases. The 3 or 4 moves cases will be listed under the moves that solves the first edge along with any adjustments of the U layer, if necessary. Cases with 4 edges not solved are split into 4 sets depending on the location of the edge that has to go into the unsolved location (slot) on the same layer that contains the V. We'll call this edge the D-edge since it has to go to the D layer. If the D-edge is on the U layer, adjust the U layer so that the center on the front matches the D sticker of the edge in the slot. The edge in the slot is what we will solved first. The location between the two centers it needs to go in will be referred to as the "target". FL and FR locations are referred to as "opposites"

## Cases

The cases are split into 5 sets: last 3 edges, D-edge at the slot, D-edge at the target, D-edge at the back, D-edge at the opposite side of the target.

### Last 3 Edges

R U R' ================ L' U' L
These cases are recognized by having no edge-center match other than the solved edge and the remaining sticker of the bottom face is on the same face as the center not attached to the solved edge.
Place the D-edge at the back first.
R U' R'                                         L' U L
These cases are recognized by having no edge-center match other than the solved edge and the remaining sticker of the bottom face is on the same face as one of the centers attached to the solved edge.
Place the solved at the back first.
L R' L' R                                     R' L R L'
These cases are recognized by having one edge-center match in addition to the solved edge and the remaining sticker of the bottom face is on the same face as the matching edge-center.
Place the solved at the back first.
L R' L' R2 U' R'                           R' L R L2' U L
These cases are recognized by having one edge-center match in addition to the solved edge, but the remaining sticker of the bottom face is not on the same face as the matching edge-center.
Place the solved at the back first.

### D-edge at the slot

The D-edge is already permuted for this set. It may or may not be oriented correctly.

If the edge is oriented correctly, then solve it like you would if you were using LBL.

If the edge is not oriented correctly, then look for edges that have one of their stickers matching one of its adjacent centers, creating an edge-center match.

If there are two edges solved on the U-layer, you are left with 2 flipped edges. Execute the 2-edge flip. Try to learn it from different angles depending on the location of the edges.
L' U L                                        R U' R'
R U R'                                        L' U' L
These cases are recognized by having only one edge matching the sticker of its adjacent centers.
Place the matching edge-center on the face opposite of the direction the edge is relative to the center. If the edge is on the left of the center it is matching, then place them on the right face. If the edge is on the right of the center, place it on the left face.
L R' L' R                                       R' L R L'
U                                                 U'
L R' L' R                                       R' L R L'
These cases are recognized by having all 3 edges on the U layer having one of its stickers matching one of it adjacent centers. You can also recognize it by only looking for 2 edges matching an adjacent center.
No adjustment of the U layer before executing is necessary.
This case is recognized by having no edges solved and no edge-center matches. Insert an random edge in any way to get another case or use this algorithm:
U L' U L R U' B U' B' R'

### D-edge at the target

Cases in this set are when the edge at the slot has to go to a location that the D-edge is at.
"If the D-edge is on the U layer, adjust the U layer so that the center on the front matches the D sticker of the edge in the slot."
R U' R'                                         L' U L
R' L R L'                                      L R' L' R
These cases are recognized by having two edges matching the same center, creating a bar.
L' U' L                                        R U R'
U                                               U'
R U R'                                        L' U' L
L' U L                                          R U' R'
R U' R'                                         L' U L
These cases are recognized by having only one matching edge-center.
R U' R'                                         L' U L
U'                                                U
R U R'                                          L' U' L
These cases are recognized by having no matching edge-center.

### D-edge at the back

Cases in this set are when the D-edge is at the back.
"If the D-edge is on the U layer, adjust the U layer so that the center on the front matches the D sticker of the edge in the slot."

R' L R L'                                     L R' L' R
U                                                U'
L' U L                                         R U' R'
These cases are recognized by having only one matching edge-center.
L' U L                                         R U' R'
U'                                               U'
R U R'                                         L' U' L
This case is recognized by having no matching edge-center.

### D-edge at the opposite side of the target

Cases in this set are when the D-edge is on the opposite (left and right) side of the target. If the target is on the left, the D-edge is at the right for cases in this set. The edge inserted into the slot first is always the back edge.
"If the D-edge is on the U layer, adjust the U layer so that the center on the front matches the D sticker of the edge in the slot."
L' U' L                                        R U R'
U'                                              U
L R' L' R                                      R' L R L'
These cases are recognized by having only one matching edge-center.

L' U' L                                          R U R'
U'                                                U
R U' R'                                          L' U L
These cases are recognized by having no matching edge-center.