The Parabiaugmented Dodecahedron


The parabiaugmented dodecahedron (J59) is the 59th Johnson solid. It has 22 vertices, 40 edges, and 20 faces (10 pentagons and 10 triangles). It can be constructed augmenting a dodecahedron with two pentagonal pyramids on opposite faces.

A parabiaugmented
dodecahedron

If one of the pentagonal pyramids is removed, the result is the augmented dodecahedron (J58).

Projections

Here are some views of the parabiaugmented dodecahedron from various angles:

Projection Description

Top view.

Side view.

Front view.

Coordinates

The Cartesian coordinates of the parabiaugmented dodecahedron, centered on the origin and with edge length 2, are:

where φ=(1+√5)/2 is the Golden Ratio.


Last updated 17 Nov 2018.

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