The Gear / Caution Cube is very easy to solve. Due to the restrictions of its motion it has very few states. That doesn't stop it from being very elegent in the way it twists and turns.

Step one

First solve the corners. This is really easy.

Match up two corners so they are correct. When you do this, the other matching pair will be somewhere else on the cube. Bring the two pairs together and you will have solved one face worth of corners. At the same time, you'll have solved the opposing face. Align the two faces so all the corners match if necessary.

Step two

Orient the edges to return the puzzle to a cube shape. This is done by taking each centre slice and turning the side next to it through 360 degrees until the edges lay flat.

Step three

Solve the edges.

Again these are done on each centre slice independently, so you can even merge this with the previous step. There are two ways in which the edges can be wrong. It could be either, neither or a combination of both.

a) The centre is a 180 twist out. Give a side next to it a 1080 twist, which is 6 complete half turns.

b) The edges FU and FD edges need swapped, and the BU and BD edges need swapped. Perform B R R B' R' R' and it will swap the edges. Note that the edge gears go out of cube alignment during this algorithm.

The end

The centers are always solved if the corners and edges are good.

That was pretty easy, wasn't it? Ah, well, it's still one of the coolest looking puzzles and really dangerous to boot. Have fun!