TriCairoPrism – The Pieces

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.

11 tri-Cairo prisms
11 TriCairo prisms

TriCairoPrism-Puzzles

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.

Some PolyCairo Prisms shapes
TriCairo Prism shape 1
TriCairo Prism shape 1 solution
TriCairo Prism shape 2
TriCairo Prism shape 2 solution
TriCairo Prism shape 3
TriCairo Prism shape 3 solution
TriCairo Prism shape 4
TriCairo Prism shape 4 solution
TriCairo Prism shape 5
TriCairo Prism shape 5 solution
TriCairo Prism shape 6
TriCairo Prism shape 6 solution

Resources & Downloads

3D Print Templates

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

3D printed TriCairoPrism-Puzzle
3D printed TriCairoPrismparts

Solution program

screenshot TriCairoPrism Solver

The software collection available for download on itch.io includes a solver for creating and solving TriCairo-prism shapes. It is for Windows only.

The displayed solutions are not symmetry-reduced; that is, if two solutions differ only by a symmetry transformation, both are counted and shown as distinct solutions.

The program also computes solutions for shapes composed of fewer than 11 TriCairo-prism pieces (from 2 to 10 pieces).

IMPORTANT: For a trouble-free installation, please read the instructions before unpacking!