Crazy Comet is a twisty puzzle related to Rubik's Cube. This one is based on a rhombododecahedron.
Additional info for twisty-puzzle experts: Crazy Comet is an umodded, unbandaged version of Okamoto's Bevel Cube and Adam Cowan's Helicopter Cube. It is the smallest isometric twisty puzzle that "jumbles". According to the definition by Bram Cohen, a "jumbling twisty puzzle" is a non-doctrinaire twisty puzzle that cannot be unbandaged into a doctrinaire one. Got it?