

It would be a great pity to go to the solution (LiveGraphics3D animation) without the pleasure to search.  
This object is a "burr puzzle"; it can be built in several ways, with more complex assemblings. Explore the burrs! (PDF version)
Here is a variant which I personally find more difficult.  


solution (LiveGraphics3D animation) 
The diagonal burr is made from six identical pieces, each having two notches; with the ends of the pieces bevelled we get a nice diagonal star : the assembling builds a stellated rhombic dodecahedron.
the assembling needs a clever intermediate state 
solution (LiveGraphics3D animation) 
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convex polyhedra  non convex polyhedra  interesting polyhedra  related subjects  February 2005 updated 27082021 