Recognised as Polyhedron
Truncated tetrahedron
- Archimedean
- 8 faces
- Dual: triakis tetrahedron
The truncated tetrahedron is a Archimedean solid with 8 faces, 18 edges and 12 vertices: 4 triangles and 4 hexagons. Its dual is the triakis tetrahedron, and its dihedral angle is 109.471°.
Faces, edges and vertices
Faces84 triangles and 4 hexagons
Edges18
Vertices12
Euler characteristicV − E + F = 12 − 18 + 8 = 2every convex polyhedron gives 2
FamilyArchimedeansemi-regular: regular faces of more than one kind, identical vertices
Dual polyhedrontriakis tetrahedron
Measurements at edge length 1
Volume2.710576cubic units for a unit edge
Surface area12.124356square units for a unit edge
Dihedral angle109.471°the angle between two adjacent faces
Volume at edge 102,710.576
Surface area at edge 101,212.4356
Isoperimetric ratio0.466231 for a sphere; higher means more efficiently packed
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