Sesquitruncated square pyramid
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| Sesquitruncated square pyramid | |
|---|---|
 | |
| Rank | 3 |
| Type | Near-miss |
| Elements | |
| Faces | 4+4 isosceles triangles, 1 square, 4 mirror-symmetric heptagons and 1 quad-symmetric octagon |
| Edges | 8+8+4+4+4+4 |
| Vertices | 8+4+4+4 |
| Vertex figures | 8 scalene triangles |
| 3+3 isosceles triangles | |
| 4 isosceles trapezoids | |
| Measures (edge length 1) | |
| Edge length ratio | 1.12883 |
| Central density | 1 |
| Number of external pieces | 14 |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | B2×I, order 8 |
| Convex | Yes |
| Nature | Tame |
The sesquitruncated square pyramid is a near-miss Johnson solid. Its faces are 4+4 isosceles triangles, 1 square, 4 mirror-symmetric heptagons and 1 quad-symmetric octagon
To construct it, one needs to inscribe a heptagon in every triangle and an octagon in a square of a square pyramid, than fill all the remaining gaps with isosceles triangles, and a square.
Although its edge ratio is higher than 1.1, it is still notable for being the simplest non-degenerate sesquitruncated polyhedron possible.
