Chiral cubic symmetry

From Polytope Wiki
(Redirected from BC3+)
Jump to navigation Jump to search
Chiral cubic symmetry
Rank3
SpaceSpherical
Order24
Info
Coxeter diagram
Elements
Axes3 × (BC2×A1)+, 4 × (A2)+, 6 × K3+

Chiral cubic symmetry, also known as chiral octahedral symmetry, kicubic symmetry, or notated as B3+ or BC3+, is a 3D spherical symmetry group. It is the symmetry group of the snub cube, or equivalently the symmetry group of the cube or octahedron with all the reflections removed.

Subgroups[edit | edit source]

Convex polytopes with B3+ symmetry[edit | edit source]