Sesquitruncated deltoidal icositetrahedron
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| Sesquitruncated deltoidal icositetrahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Near-miss |
| Elements | |
| Faces | 24+24+24 isosceles triangles, 8 triangles, 6 squares, 12 rectangles, 24 mirror-symmetric hendecagons |
| Edges | 12+24+24+24+24+24+24+24+24+24 |
| Vertices | 48+48+48+24+24+24+24+24+24 |
| Vertex figures | 24+24+24+24 isosceles triangles |
| 48 irregular tetragons | |
| 24 isosceles trapezoids | |
| Measures (edge length 1) | |
| Edge length ratio | 1.00854 |
| Central density | 1 |
| Number of external pieces | 122 |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Symmetry properties | |
| Symmetry | B3, order 48 |
| Other properties | |
| Convex | Yes |
| Nature | Tame |
The sesquitruncated deltoidal icositetrahedron is a near-miss Johnson solid. Its faces are 24+24 scalene triangles, 8 triangles, 6 squares and 24 mirror-symmetric hendecagons.
To construct it, one needs to inscribe an irregular hendecagon in every face of deltoidal icositetrahedron and fill all the remaining gaps with isosceles triangles, triangles, squares and rectangles.
