Clover Pyraminx Algorithms
This puzzle looks cool, turns wonderfully and appears simple enough. While it’s effectively just a 3×3 shape mod, I simply cannot visualize it as such. This tutorial helped me whittle the whole thing down to something digestible.
Step 1: Solve two-colored edges
These act like corners, so just find the proper plane and solve all three two-colored edges. This is an easy step and no image is necessary.
Step 2: Flatten Petals
Now you will be faced with one of three situations. If the two pieces are beside one another like shown here, place them on the right plane. Move this right side down, then move the bottom/left layer (here, the other green petal) down, then back up and up (R’, L, R, L’)
The second scenario is when the two incorrectly-placed pieces are on adjacent faces. Hold the tip of the triangle at you and the upright petals on the top-left and top-right. With the one stickered side facing you positioned on the left, turn this layer down 90°, then the right layer a full 180° and return the first face. I’ve included a video here for easier reference.
A third scenario exists where they’re on adjacent layers but on the same pivot. In this case, move one side away so it mirrors scenario #2. I believe this will be an easy fix.
Step 3: Solve all Petals
This step will involve either a two or a three-cycle. For the latter, hold pyramid tip at you, this swaps far left, top center and far right. Shown here, it’ll exchange the left red piece, the top yellow and the right blue. Do 180° flips between the two layers (DDUU – L2, R2, L2, R2). This is kind of intuitive and while it may involve commutators, for your basic purposes, it’s not difficult.
Now, sometimes you will encounter three that you can’t easily swap. You have two options here. A three-cycle may work (for instance, swapping two blues at once). But if you’re lost, which I often get, you may benefit from some two-cycles instead. Here, bring a face down with a 90° turn. This will look like a person wearing glasses looking at you (see pic). Now, your three-cycle maneuver (clockwise or CCW based on your needs) will cycle these just as you’d hope. This is a really-quick fix as, like before, you can swap the same-colored pieces to maneuver what you want without much thinking.
Step 4: Solve Centers/Corners
Any inverted (jutting out) centers here signify a hidden piece under a pyramid tip. Find it! OK, now leave it hidden in the tip of the pyramid. You are now going to swap this hidden piece with one that is jutting out, making sure the inverted piece is on top, also shown here. You’ll reveal it w/ a 90° right turn upwards (like shown in this image), then the usual algorithm (R, L’, R, L) but you’ll do this three times. This will also swap the two lower-layer centers as well, FYI. Do this as many times as necessary. You may get lucky and solve the puzzle this way. If not, move on to step #5.
Step 5: Swap Centers
Now that everything is flat, we can swap centers. You’re going to use the same algorithm as in step 4, but you don’t want to kick out those inverted pieces. First, find two centers you want to swap. (If you have more, just choose two and then repeat this step). Place these in front of you on the bottom as shown here. In order to prevent bumping out those inverted pieces, turn the top layer 90°. This way, those inner pieces will harmlessly swap. Do the same algorithm as before (again, three times) and your two bottom centers will be exchanged.