Recognised as Polyhedron
Truncated octahedron
- Archimedean
- 14 faces
- Dual: tetrakis hexahedron
The truncated octahedron is a Archimedean solid with 14 faces, 36 edges and 24 vertices: 6 squares and 8 hexagons. Its dual is the tetrakis hexahedron, and its dihedral angle is 125.264°. It is the only Archimedean solid that tiles space on its own.
Faces, edges and vertices
Faces146 squares and 8 hexagons
Edges36
Vertices24
Euler characteristicV − E + F = 24 − 36 + 14 = 2every convex polyhedron gives 2
FamilyArchimedeansemi-regular: regular faces of more than one kind, identical vertices
Dual polyhedrontetrakis hexahedron
Measurements at edge length 1
Volume11.313708cubic units for a unit edge
Surface area26.78461square units for a unit edge
Dihedral angle125.264°the angle between two adjacent faces
Volume at edge 1011,313.7085
Surface area at edge 102,678.461
Isoperimetric ratio0.753371 for a sphere; higher means more efficiently packed
Keep nerding
Every link below is a page Nerdulator can generate from what it already knows about this value.
Nerdulate something else
Nothing in mind? Surprise me · today’s page