| Type: | Near-miss Johnson solid |
| Faces: | 92: 60 isosceles triangles 12 pentagons 20 hexagons |
| Edges: | 180 |
| Vertices: | 90 |
| Vertex Config: | |
| Conway: | [1] |
| Symmetry: | order 120 |
| Rotation Group: | order 60 |
| Dual: | Rhombic enneacontahedron |
| Properties: | convex |
| Net: | Rectified truncated icosahedron net.png |
In geometry, the rectified truncated icosahedron is a convex polyhedron. It has 92 faces: 60 isosceles triangles, 12 regular pentagons, and 20 regular hexagons. It is constructed as a rectified, truncated icosahedron, rectification truncating vertices down to mid-edges.
As a near-miss Johnson solid, under icosahedral symmetry, the pentagons are always regular, although the hexagons, while having equal edge lengths, do not have the same edge lengths with the pentagons, having slightly different but alternating angles, causing the triangles to be isosceles instead. The shape is a symmetrohedron with notation I(1,2,*,[2])
By Conway polyhedron notation, the dual polyhedron can be called a joined truncated icosahedron, jtI, but it is topologically equivalent to the rhombic enneacontahedron with all rhombic faces.
The rectified truncated icosahedron can be seen in sequence of rectification and truncation operations from the truncated icosahedron. Further truncation, and alternation operations creates two more polyhedra: