one of the crystal systems that is considered by some gem references to be a subsystem of the hexagonal system. A trigonal prism has the effect of being a three sided prism. See Crystal Systems & Forms. Found on http://gemologyproject.com/wiki/index.php?title=Glossary_of_Terms
(see crystal systems) Crystals forming under this system have a three fold axis of symmetry 3 horizontal reference axis, equal in length and at 120 degrees to each other.
Found on https://www.encyclo.co.uk/local/20501
A crystal system is described by 3 basis vectors. In crystallography, the trigonal crystal system is one of the 7 lattice point groups. Quartz is represented as D3 in the Schoenflies notation of Point groups in 3 dimensions. Found on https://www.encyclo.co.uk/local/22070