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Consider a truncated octahedron composed by

- 24 vertices (4×6)
- 14 faces (contain 6 squares and 8 hexagons)
- 36 edges (4×6+6×82=36).

This truncated octahedron can pack and tessellate the 3-dimensional-space like this.

Question: What are the available methods to draw this in Mathematica? (My attempt was that I showed such packing is possible and prepared this figure [not using Mathematica..].)

1thanks +1, but I am not sure the object you draw can do packing/tessellation in 3D...? – wonderich – 2020-02-16T07:01:51.663

maybe of interests too https://mathematica.stackexchange.com/questions/214858

– wonderich – 2020-02-18T03:48:09.213