2 by 3 by 4 Burr

The standard Burr is made of six pieces, each 2 by 2 by 6. A planar Burr is made of six pieces, each 1 by 4 by 6. Why not make a Burr from six pieces, each 2 by 3 by 4? An example, non-trivial, is shown below.

The pieces

The solution

start with red and black

add yellow

add blue (opposite yellow)

add white (opposite black)

adding green completes the puzzle