Enneagonal antiprism

Uniform enneagonal antiprism
Type	Prismatic uniform polyhedron
Elements	F = 20, E = 36 V = 18 (χ = 2)
Faces by sides	18{3}+2{9}
Schläfli symbol	s{2,18} sr{2,9}
Wythoff symbol	| 2 2 9
Coxeter diagram
Symmetry group	D9d, [2+,18], (2*9), order 36
Rotation group	D9, [9,2]+, (922), order 18
References	U77(g)
Dual	Enneagonal trapezohedron
Properties	convex
Vertex figure 3.3.3.9

In geometry, the enneagonal antiprism (or nonagonal antiprism) is one in an infinite set of convex antiprisms formed by triangle sides and two regular polygon caps, in this case two enneagons.

Antiprisms are similar to prisms except the bases are twisted relative to each other, and that the side faces are triangles, rather than quadrilaterals.

In the case of a regular 9-sided base, one usually considers the case where its copy is twisted by an angle 180°/n. Extra regularity is obtained by the line connecting the base centers being perpendicular to the base planes, making it a right antiprism. As faces, it has the two n-gonal bases and, connecting those bases, 2n isosceles triangles.

If faces are all regular, it is a semiregular polyhedron.

See also[]

Family of uniform n-gonal antiprisms

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Antiprism name	Digonal antiprism	(Trigonal) Triangular antiprism	(Tetragonal) Square antiprism	Pentagonal antiprism	Hexagonal antiprism	Heptagonal antiprism	Octagonal antiprism	Enneagonal antiprism	Decagonal antiprism	Hendecagonal antiprism	Dodecagonal antiprism	...	Apeirogonal antiprism
Polyhedron image												...
Spherical tiling image												Plane tiling image
Vertex config.	2.3.3.3	3.3.3.3	4.3.3.3	5.3.3.3	6.3.3.3	7.3.3.3	8.3.3.3	9.3.3.3	10.3.3.3	11.3.3.3	12.3.3.3	...	∞.3.3.3

External links[]

• Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra
  • VRML model
• polyhedronisme A9

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