By extruding a monogem – a pentagon obtained by trisecting a regular hexagon – you obtain a monogem prism. Connecting multiple such prisms yields polygem prisms or stacked polygems.

There are 5 digem prisms and 25 trigem prisms.

The Trigem Prism Puzzle, whose 3D-printing templates are available for download, consists of 2 planar and 7 fully three-dimensional trigem-prism pieces.
The puzzle has four distinct solutions.

The 3D-print templates consist of 25 Trigem prism puzzle pieces and a box.