The Elongated Pentagonal Cupola

The elongated pentagonal cupola is the 20th Johnson solid (J20). It has 25 vertices, 45 edges, and 22 faces (5 equilateral triangles, 15 squares, 1 pentagon, and 1 decagon).

The elongated pentagonal

The elongated pentagonal cupola can be constructed by attaching a decagonal prism to a pentagonal cupola (J5), lengthening it; hence the name elongated.


Here are some views of the elongated pentagonal cupola from various angles:

Projection Envelope Description
Regular decagon

Top view.


Front view.


Side view.


The Cartesian coordinates of the elongated pentagonal cupola with edge length 2 are:

where φ=(1+√5)/2 is the Golden Ratio.

Last updated 18 Jun 2019.

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