Triangular prismatic symmetry

Triangular prismatic symmetry
Rank	3
Space	Spherical
Order	12
Info
Coxeter diagram
Elements
Axes	1 × A2×A1, 3 × K2×I
Related polytopes
Omnitruncate	Ditrigonal prism

Triangular prismatic symmetry, also known as trippic symmetry and notated as A₂×A₁, is a 3D spherical Coxeter group. It is the symmetry group of the triangular prism.

Subgroups

• (A₂×A₁)+ (maximal)
• A₂×I (maximal)
• A₂+×A₁ (maximal)
• A₂+×I
• K₂×I (maximal)
• K₂+×I
• A₁×I×I
• I×I×I

Convex polytopes with A₂×A₁ symmetry

• Triangular prism (isogonal)/Triangular tegum (isotopic)
• Ditrigonal prism (isogonal)/Triambic tegum (isotopic)