The Gyroelongated Triangular Cupola

The gyroelongated triangular cupola is the 22nd Johnson solid (J22). It has 15 vertices, 33 edges, and 20 faces (16 equilateral triangles, 3 squares, and 1 hexagon).

The gyroelongated
triangular cupola

The gyroelongated triangular cupola can be constructed by attaching a hexagonal antiprism to a triangular cupola (J3), thereby lengthening it. The gyro in the name refers to how the bottom hexagonal face is gyrated with respect to the hexagonal face of the constituent triangular cupola.

Adding a second cupola to the other side of the hexagonal antiprism produces the gyroelongated triangular bicupola (J44).


Here are some views of the gyroelongated triangular cupola from various angles:

Projection Envelope Description
Regular dodecagon

Top view.


Front view.


Side view, with many coincident edges.


The Cartesian coordinates of the gyroelongated triangular cupola with edge length 2 are:

Last updated 11 Sep 2020.

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