Sesquitruncated hexagonal bifrustum
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| Sesquitruncated hexagonal bifrustum | |
|---|---|
 | |
| Rank | 3 |
| Type | Near-miss |
| Elements | |
| Faces | 12+12+12 isosceles triangles, 6 rectangles, 12 decagons, 2 dodecagons |
| Edges | 24+24+24+12+12+12+12+12+6 |
| Vertices | 24+24+12+12+12 |
| Vertex figures | 12+12+12 isosceles triangles |
| 24 scalene triangles | |
| 24 irregular quadrilaterals | |
| Measures (edge length 1) | |
| Edge length ratio | 1.03288 |
| Central density | 1 |
| Number of external pieces | 56 |
| Related polytopes | |
| Conjugate | None |
| Abstract & topological properties | |
| Euler characteristic | 2 |
| Surface | Sphere |
| Orientable | Yes |
| Genus | 0 |
| Properties | |
| Symmetry | G2×A1, order 24 |
| Convex | Yes |
| Nature | Tame |
The sesquitruncated hexagonal bifrustum is a near-miss Johnson solid. Its faces are 12+12+12 isosceles triangles, 6 rectangles, 12 decagons and 2 dodecagons
To construct it, one needs to inscribe a decagon in every trapezoid and a dodecagon in every hexagon of a hexagonal bifrustum, than fill all the remaining gaps with isosceles triangles and rectangles.
