The Augmented Tridiminished Icosahedron


The augmented tridiminished icosahedron is the 64th Johnson solid, or J64 for short. It is bounded by 7 regular triangles and 3 regular pentagons. It is constructed by augmenting a tridiminished icosahedron (J63) with a tetrahedron (as a triangular pyramid).

An augmented tridiminished
icosahedron

Due to the non-equivalence of its vertices, the augmented tridiminished icosahedron only has a single axis of symmetry: a 3-fold symmetry around the line passing through its apex and and the bottom triangle.

Projections

Here are some views of the augmented tridiminished icosahedron from various angles:

Projection Description

Top view.

Front view.

Side view.

Coordinates

The Cartesian coordinates of the augmented tridiminished icosahedron are:

where φ=(1+√5)/2 is the Golden Ratio.


Last updated 17 Jan 2019.

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