The Basic Plot
- Solve Edges
- Reduce Triangles
- Place Triangles
- Solve Corners
1. Solve Edges
The circle edges are turned into place with simple turns. They cannot leave their orbits so there are no surprises.
The outer edges are then solved using the edge piece series or simple turns. This ensures that all circle parts are kept intact.
2. Reduce Triangles
To reduce the triangles, we want to attach the small triangles to their outer edges. To do this, we'll use the bottom (yellow) face to turn them where we want them. Once these are all in place (meaning all circle parts are solved), we can place the trapezia.
To solve the trapezia, we'll use a sequence which cycles 3 trapezia. It also involves corners, but that's not relevant to us since we haven't solved them yet. It's simply a double edge piece series flip, interspersed with a turn of a separate face. The sequence is
This will cycle U(L)->DL(U)->DL(L)
3. Place Triangles
The large triangles are placed by using a double edge piece series flip. This move is
L' R L R' F R' F' R
This flips the UFL and UFR corners. It also flips the two sets of triangles connected to those corners which are on the Up face. For our purposes, we don't care about corners, so we can flip triangles in this way. Most of the time, you will need one or two setup moves to position appropriate triangles so they can be flipped.
If you're down to the last two triangles, or just need another pair of the same colour to flip, you can perform the setup move R DR. This will place a pair of triangles of the same colour at the UFR position, meaning that only the triangles in UFL will be involved in the flip.
4. Solve Corners
The last stage of the solve is to place the corners. To do this, we will use a sequence based on the edge piece series. This sequence is
L' R L R' B DL B' DL' R L' R' L DL B DL' B'
This first cycles three corners on the front face. It then replaces the upper corner with another unused corner. Then it undoes these moves. The overall effect is to cycle the three corners at FD->UFL->UB.
The mirror can also be used, namely
R L' R' L B' DR' B DR L' R L R' DR' B' DR B
If the last two corners are in position but flipped, then move them out of position using the sequence above and involving a 3rd corner. Then place them back into position correctly oriented.
And that's it. Your Crazy Octahedron Mercury is now solved. I trust this site has been helpful. If you have any questions or want some clarifications, please use the comments to do so. To buy this puzzle, click here.