Digonal prismatic symmetry

Digonal prismatic symmetry, also known as brick symmetry or cuboidal symmetry and notated as K₃, is a 3D spherical Coxeter group. It is the symmetry group of the cuboid or rectangular box, and appears as a subgroup of octahedral and icosahedral symmetries.

Digonal prismatic symmetry
Rank	3
Space	Spherical
Order	8
Info
Coxeter diagram
Elements
Axes	2 × K2×I
Related polytopes
Omnitruncate	Cuboid

Subgroups

• Prodigonal prismatic symmetry (maximal)
• Chiral digonal prismatic symmetry (maximal)
• Rectangular pyramidal symmetry (maximal)
• Chiral digonal pyramidal symmetry
• Inversion symmetry
• Reflection symmetry
• Identity symmetry

Convex polytopes with K₃ symmetry

• Cuboid (isogonal)/Rhombic tegum (isotopic)