A pentagon with two right interior angles is called a mono-Cairo. Extruding this pentagon produces a MonoCairo prism. By joining several such prisms, one obtains PolyCairo prisms.

There are 3 DiCairo prisms and 11 TriCairo prisms.

In the illustrations, some shapes are shown that are assembled from all 11 TriCairo prisms.
However, the 3D-printed puzzle itself consists of 10 TriCairo prisms and one DiCairo prism, chosen to achieve greater symmetry.
The missing eleventh TriCairo prism is included in the 3D-printing template collection, so all illustrated shapes can be reconstructed as well.

The 3D-print templates consist of 11 TriCairoPrisms and one DiCairoPrism and a box.