[harwwqve] Tilted cube of side 3

Create a physical demonstration of the Pythagorean quadruple 1^2 + 2^2 + 2^2 = 3^2.

I think one can draw a tilted cube of edge length 3 connecting points in a three dimensional lattice.  Similar to the square of side 5 from the 3-4-5 triple.

Perhaps a cube dissection with angular pieces.