Recognised as Polyhedron
Icosidodecahedron
- Archimedean
- 32 faces
- Dual: rhombic triacontahedron
The icosidodecahedron is a Archimedean solid with 32 faces, 60 edges and 30 vertices: 20 triangles and 12 pentagons. Its dual is the rhombic triacontahedron, and its dihedral angle is 142.623°.
Faces, edges and vertices
Faces3220 triangles and 12 pentagons
Edges60
Vertices30
Euler characteristicV − E + F = 30 − 60 + 32 = 2every convex polyhedron gives 2
FamilyArchimedeansemi-regular: regular faces of more than one kind, identical vertices
Dual polyhedronrhombic triacontahedron
Measurements at edge length 1
Volume17.337719cubic units for a unit edge
Surface area29.305983square units for a unit edge
Dihedral angle142.623°the angle between two adjacent faces
Volume at edge 1017,337.7185
Surface area at edge 102,930.5983
Isoperimetric ratio1.350731 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