Theorem O-Tessellation

Theorem O-Tessellation

There exists a tessellation of the entire 3D space with truncated regular octahedra.

Solution

Construct 2 OTC modules: a red one and a blue one.

Promote the blue module to the default Build module (double click on its name in the list) and generate the lattice shown below (using Nabla operations).

Promote the red module to the default Build module and use it to generate the lattice shown (using Gamma operations).

Rotate the ensemble to notice that the red modules are connected with Nabla operations.