Pyritohedral symmetry

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Pyritohedral symmetry
Rank3
SpaceSpherical
Order24
Elements
Axes3 × K3, 4 × (G2+×A1)/2

Pyritohedral symmetry, also known as pyritic symmetry and notated as B3/2, is a 3D spherical symmetry group. It is the symmetry group of the pyritohedral icosahedron and its dual pyritohedron. It is similar to cubic symmetry, but the square axes turn into rectangular axes and the triangular axes turn into chiral triangular ones. Unlike full cubic or tetrahedral symmetries, it is a subgroup of dodecahedral symmetry.

Subgroups[edit | edit source]

Convex polytopes with B3/2 symmetry[edit | edit source]