Enneagrammic antiprism
{9/2} enneagrammic antiprism | |
---|---|
Type | Uniform polyhedron |
Faces |
2 {9/2} 18 {3} |
Edges | 36 |
Vertices | 18 |
Vertex configuration | 9/2.3.3.3 |
Wythoff symbol | |2 2 9/2 |
Schläfli symbol | sr{2,9/2} |
Coxeter diagram | |
Symmetry group | D9h, [2,9],(*299), order 36 |
Dual polyhedron | Enneagrammic deltohedron |
Properties | nonconvex |
Vertex figure | |
In geometry, anenneagrammic antiprism is a star antiprism constructed by enneagrammic bases. There are two forms, built on the two enneagrams {9/2} and {9/4}, and one crossed form {9/5}.
A nonuniform 9/7 cross-antiprism can be constructed without equal edge-lengths.
A 9/3 ratio is reducible and so represents a compound polyhedron of 3 triangular antiprisms with 120 degree rotations between them.
9/2
The first solution is a 9/2 antiprism.
9/4
{9/4} enneagrammic antiprism | |
---|---|
Type | Uniform polyhedron |
Faces |
2 |{9/4} 16 {3} |
Edges | 36 |
Vertices | 18 |
Vertex configuration | 9/4.3.3.3 |
Wythoff symbol | |2 2 9/4 |
Schläfli symbol | sr{2,9/4} |
Coxeter diagram | |
Symmetry group | D9h, [2,9],(*299), order 36 |
Dual polyhedron | Enneagrammic deltohedron |
Properties | nonconvex |
Vertex figure | |
9/4-antiprism
9/5
{9/5} enneagrammic crossed-antiprism | |
---|---|
Type | Uniform polyhedron |
Faces |
2 {9/5} 18 {3} |
Edges | 36 |
Vertices | 18 |
Vertex configuration | 9/5.3.3.3 |
Wythoff symbol | |2 2 9/5 |
Schläfli symbol |
s{2,18/5} sr{2,9/5} |
Coxeter diagram |
|
Symmetry group | D9d, [2+,18], (2*9), order 36 |
Dual polyhedron | Enneagrammic concave deltohedron |
Properties | nonconvex |
Vertex figure | |
9/5-antiprism
See also
External links
Wikimedia Commons has media related to Antiprisms. |
- Weisstein, Eric W., "Antiprism", MathWorld.
- Olshevsky, George, Antiprism at Glossary for Hyperspace.
- Paper models of prisms and antiprisms
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