compound of two cubes is obtained by allowing two
cubes to share opposite polyhedron vertices, and then
rotating one a sixth of a turn about the axis that joins
the two opposite vertices (see fig. 1 below).
you can see from fig. 2, the two-cube compound is made
up of 12 pyramidal modules. Each pyramidal module is composed
of two right triangles with ratio 2:1 and one isosceles
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with the paper model (shown in fig. 3) to make
your own compound of two cubes.
Brill devised an original way to make the compound of two
cubes by using modular origami folding technique. You will
need 12 square papers, 6 of one color + 6 of another, and
a lot of patience to build your polyhedron compound.
see the video below.
Source: origami instructions found in Dave’s