Digonal prismatic symmetry
(Redirected from K3)
| Digonal prismatic symmetry | |
|---|---|
| Rank | 3 |
| Space | Spherical |
| Order | 8 |
| Info | |
| Coxeter diagram |   |
| Elements | |
| Axes | 2 × K2×I |
| Related polytopes | |
| Omnitruncate | Cuboid |
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.
Subgroups[edit | edit source]
- 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[edit | edit source]
- Cuboid (isogonal)/Rhombic tegum (isotopic)