A polyhedron
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).
As
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
right triangle.
Print the PDF
with the paper model (shown in fig. 3) to make
your own compound of two cubes.
Read
more: from
MathWorld.
Origami
Variant
David
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.
Instructions:
see the video below.
Source: origami instructions found in Dave’s
book: Brilliant
Origami.
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