The basic element of a PolyCairoPrism is a pentagon with two right interior angles, called a MonoCairo. Extruding this pentagon produces a MonoCairo prism. Joining several such prisms creates PolyCairoPrisms.

There are 3 DiCairoPrisms and 11 TriCairoPrisms.

The illustrations show some shapes assembled from all 11 TriCairoPrisms.

The 3D-printed puzzle itself consists of 10 TriCairoPrisms and one DiCairoPrism, chosen to achieve greater symmetry.

The eleventh TriCairoPrism is also included in the 3D-printing templates, so all the illustrated shapes can be built.

The 3D-printing templates include 11 TriCairoPrisms, one DiCairoPrism, and a box with a sliding lid.