Related Polyhedra and Tilings
The pyritohedron is one of a family of duals to the uniform polyhedra related to the cube and regular octahedron.
| Symmetry:, (*432) | +, (432) | , (*332) | , (3*2) | ||||||
|---|---|---|---|---|---|---|---|---|---|
| {4,3} | t0,1{4,3} | t1{4,3} | t1,2{4,3} | {3,4} | t0,2{4,3} | t0,1,2{4,3} | s{4,3} | h{4,3} | h1,2{4,3} |
| Duals to uniform polyhedra | |||||||||
| V4.4.4 | V3.8.8 | V3.4.3.4 | V4.6.6 | V3.3.3.3 | V3.4.4.4 | V4.6.8 | V3.3.3.3.4 | V3.3.3 | V3.3.3.3.3 |
It is also constructed in half-symmetry of the tetrahedron, as a dual of the snub tetrahedron.
| Symmetry:, (*332) | +, (332) | ||||||
|---|---|---|---|---|---|---|---|
| {3,3} | t0,1{3,3} | t1{3,3} | t1,2{3,3} | t2{3,3} | t0,2{3,3} | t0,1,2{3,3} | s{3,3} |
| Duals to uniform polyhedra | |||||||
| V3.3.3 | V3.6.6 | V3.3.3.3 | V3.6.6 | V3.3.3 | V3.4.3.4 | V4.6.6 | V3.3.3.3.3 |
Read more about this topic: Pyritohedron
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