The Augmented Pentagonal Prism

The augmented pentagonal prism (J52) is the 52nd Johnson solid. It has 11 vertices, 19 edges, and 10 polygons (4 triangles, 4 squares, and 2 pentagons).

An augmented pentagonal

It can be constructed augmenting a pentagonal prism with a square pyramid. A second square pyramid can be added in one of the non-adjacent positions of the prism to make a biaugmented pentagonal prism (J53).


Here are some views of the augmented pentagonal prism from various angles:

Projection Description

Top view.

Front view.

Side view.

72° rotated side view.

144° rotated side view.


The Cartesian coordinates of the augmented pentagonal prism, centered on the origin and with edge length 2, are:

where φ=(1+√5)/2 is the Golden Ratio.

Last updated 19 Jun 2018.

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