The Hexagonal Antiprism

The hexagonal antiprism is a 3D uniform polyhedron bounded by 14 polygons (2 hexagons and 12 triangles), 24 edges, and 12 vertices.

The hexagonal

The height of a hexagonal antiprism with an edge length of 2 is 2√(√3−1), or approximately 1.711199.

The hexagonal antiprism can be attached to a triangular cupola to form a gyroelongated triangular cupola (J22), a Johnson solid. Adding another cupola on the other side of the antiprism produces the gyroelongated triangular bicupola (J44).


Here are some views of the hexagonal antiprism from various angles:

Projection Envelope Description
Regular dodecagon

Parallel projection centered on hexagonal face.


Parallel projection parallel to square faces and a pair of triangles.


Parallel projection centered on an edge between two triangles.


Vertex-centered parallel projection.


The Cartesian coordinates of the hexagonal antiprism, centered on the origin and having edge length 2, are:

Last updated 17 Jun 2019.

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