It was apparently titled "Starburst", from a puzzle company called Entex.
It's a cube made of a ring of cubes. You can fold it around until it turns inside out. But each cube is actually divided in half, so you can also fold it around until it comes apart into two star-shapes.
(Geometry neepery: each star is a stellated rhombic dodecahedron.)
(Images are links to larger, blurrier images. :)
I may start photographing many of the puzzles and toys I own. Or, maybe I won't. This one is a favor for K. -- enjoy.
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