Chiral cubic symmetry

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Chiral cubic symmetry
Coxeter diagramCDel node h2.pngCDel 4.pngCDel node h2.pngCDel 3.pngCDel node h2.png
CDel node g.pngCDel 4g.pngCDel node g.pngCDel 3hg.pngCDel node g.png
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 BC3+ symmetry[edit | edit source]