Recognised as Polyhedron
Cuboctahedron
- Archimedean
- 14 faces
- Dual: rhombic dodecahedron
The cuboctahedron is a Archimedean solid with 14 faces, 24 edges and 12 vertices: 8 triangles and 6 squares. Its dual is the rhombic dodecahedron, and its dihedral angle is 125.264°.
Faces, edges and vertices
Faces148 triangles and 6 squares
Edges24
Vertices12
Euler characteristicV − E + F = 12 − 24 + 14 = 2every convex polyhedron gives 2
FamilyArchimedeansemi-regular: regular faces of more than one kind, identical vertices
Dual polyhedronrhombic dodecahedron
Measurements at edge length 1
Volume2.357023cubic units for a unit edge
Surface area9.464102square units for a unit edge
Dihedral angle125.264°the angle between two adjacent faces
Volume at edge 102,357.0226
Surface area at edge 10946.4102
Isoperimetric ratio0.741211 for a sphere; higher means more efficiently packed
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