Yes, This icosahedrons geometrical form can be distorted as a lower pyritohedral symmetry.
An icosahedron is a polyhedron with 20 faces. it has no.of edges=30and no. of Vertices=12.it is a geometrical shape.
A 3D spherical symmetry group with the symbol B3/2 is called pyritohedral symmetry, also referred to as pyritic symmetry. The pyritohedral icosahedron and its dual pyritohedron make up this symmetry group.
Snub octahedrons, snub tetratetrahedrons, snub tetrahedrons, and pseudo-icosahedrons are all names for conventional icosahedrons that have been deformed or marked up as having a lower pyritohedral symmetry. An alternating truncated octahedron can be seen in this.
Hence , This icosahedrons geometrical form can be distorted as a lower pyritohedral symmetry
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