Polyprism Symmetries

A polyprism is a solid formed by joining equal equilateral triangular prisms at matching faces. A polyprism can have any of 32 forms of symmetry, including asymmetry. Here are minimal examples of them. Not all are uniquely minimal.

1-Fold Symmetry (Asymmetry)

This tetraprism has no symmetry.

2-Fold Symmetry

Polyprisms have 7 types of binary symmetry.

3-Fold Symmetry

Polyprisms may have one form of ternary symmetry, generated by rotations on the vertical coordinate axis.

4-Fold Symmetry

Polyprisms have 7 types of quaternary symmetry.

6-Fold Symmetry

Polyprisms have 7 types of senary symmetry.

8-Fold Symmetry

Polyprisms have one form of octonary symmetry.

12-Fold Symmetry

Polyprisms have 7 types of duodenary symmetry.

24-Fold Symmetry

Polyprisms have one form of 24-fold symmetry.

Last revised 2020-07-18.

Back to Polyform Catalogues < Polyform Curiosities

Col. George Sicherman [ HOME | MAIL ]