Concept The Tuttminx, desinged by Lee Tutt in 2005 and mass-produced by Verypuzzle 6 years later. Verypuzzle has made 3 designs so far, each one getting rid of a particular issue. The idea and geometric design of the shape can me simply put: it's the extension of a dodecahedron to a truncated icosahedron. (Maybe a bit easier: it's a football). Its surface consists of 12 pentagons and 20 hexagons, which makes 32 sides in total. But despite this massive amount of sides to wrap your head around, the puzzle isn't actually that hard compared to other puzzles which may seem easier at the start. It's a non-jumbling puzzle, which means that every piece lands into a spot it's supposed to land into, it doesn't get out of orbit (although I find this term rather deceptive). The previous versions of the Verypuzzle production were able to jumble, although this was never intended. Their last design got rid of this problem, altough it's still possible with the rig...
Every puzzle is solvable, once you unravel its secrets.