Octagrammic cupola
In geometry, the octagrammic cupola is a star-cupola made from an octagram, {8/3} and parallel hexadecagram, {16/3}, connected by 8 equilateral triangles and squares.
| Octagrammic cupola | |
|---|---|
 | |
| Type | Star-cupola |
| Faces | 8 triangles 8 squares 1 {8/3} 1 {16/3} |
| Edges | 40 |
| Vertices | 24 |
| Schläfli symbol | {8/3} || t{8/3} |
| Symmetry group | C8v, [8], (*88) |
| Rotation group | C8, [8]+, (88) |
| Dual polyhedron | - |
Related polyhedra
| {n/d} | 4 | 5 | 7 | 8 |
|---|---|---|---|---|
| 3 |  {4/3} Crossed square cupola |
 {5/3} Crossed pentragrammic cupola |
 {7/3} Heptagrammic cupola |
{8/3} Octagrammic cupola |
| 5 | — | — |  {7/5} Crossed heptagrammic cupola |
 {8/5} Crossed octogrammic cupola |
Crossed octagrammic cupola
| Crossed octagrammic cupola | |
|---|---|
| |
| Type | Star-cupola |
| Faces | 8 triangles 8 squares 1 {8/3} 1 {16/3} |
| Edges | 40 |
| Vertices | 24 |
| Schläfli symbol | {8/5} || t{8/5} |
| Symmetry group | C8v, [8], (*88) |
| Rotation group | C8, [8]+, (88) |
| Dual polyhedron | - |
The crossed octagrammic cupola is a star-cupola made from an octagram, {8/5} and parallel hexadecagram, {16/5}, connected by 8 equilateral triangles and squares.
References
- Jim McNeill, Cupola OR Semicupola
- Richard Klitzing, Axial-Symmetrical Edge Facetings of Uniform Polyhedra
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