Rectified truncated cube
| Rectified truncated cube | |
|---|---|
 | |
| Schläfli symbol | rt{4,3} |
| Conway notation | atC |
| Faces | 38: 8 {3} 24 { }∨( ) 6 {8} |
| Edges | 72 |
| Vertices | 12+24 |
| Symmetry group | Oh, [4,3], (*432) order 48 |
| Rotation group | O, [4,3]+, (432), order 24 |
| Dual polyhedron | Joined truncated cube |
| Properties | convex |
 Net | |
The rectified truncated cube is a polyhedron, constructed as a rectified truncated cube. It has 92 faces: 8 equilateral triangles, 24 isosceles triangles, and 6 octagons.
Related polyhedra
The rectified truncated cube can be seen in sequence of rectification and truncation operations from the cube. Further truncation, and alternation operations creates two more polyhedra:
| Name | Truncated cube |
Rectified truncated cube |
Truncated rectified truncated cube |
Snub rectified truncated cube |
|---|---|---|---|---|
| Coxeter | tC | rtC | trtC | srtC |
| Conway | atC | btC | stC | |
| Image |  |
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See also
- Rectified truncated tetrahedron
- Rectified truncated octahedron
- Rectified truncated dodecahedron
- Rectified truncated icosahedron
References
- Coxeter Regular Polytopes, Third edition, (1973), Dover edition, ISBN 0-486-61480-8 (pp. 145–154 Chapter 8: Truncation)
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, ISBN 978-1-56881-220-5
External links
- George Hart's Conway interpreter: generates polyhedra in VRML, taking Conway notation as input
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