The Biaugmented Truncated Cube

The biaugmented truncated cube is the 67th Johnson solid, or J67 for short. It is bounded by 16 equilateral triangles, 10 squares, and 4 regular octagons, for a total of 30 faces, 60 edges, and 32 vertices. It is constructed by augmenting a truncated cube with two square cupolae (J4) on opposite sides.

A biaugmented truncated

If one square cupola is removed, the result is the augmented truncated cube (J66).


Here are some views of the biaugmented truncated cube from various angles:

Projection Description

Top view.

Front view.

Diagonal side view.


The Cartesian coordinates of the biaugmented truncated cube are:

Last updated 18 Jun 2019.

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