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

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