Megaminx
The Megaminx is a puzzle in the shape of a dodecahedron that is produced by Uwe Meffert, who has the rights to some of the patents. A variant where the cuts are a little deeper, so that each face has a five-pointed star on it, is known as the Hungarian Supernova, but since it is similar these names are often interchanged.
The way the Megaminx functions is very similar to the 3x3x3: it has fixed centers, edges with two orientations, and corners with three orientations, and each turn moves the same number of edges and corners. Because of this it can be (and usually is) solved with a variant on a 3x3x3 method, either by placing edges and then corner/edge pairs (like the Fridrich method) or simply building a series of blocks (like the Petrus method).
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