Tessellations Upon a Theme by Archimedes

The nine vectors which determine the Archimedean Truncated Cuboctahedron may be used to form tilings, using the Generalized Dual Method. Here two different tilings, each arising from 3*9=27 planes, are gradually built up, from an axis of 3-fold symmetry, outward. The first has a central region tiled by Truncated Cuboctahedra, Cubes, and Truncated Octahedra. The second has a central region tiled by Truncated Cuboctahedra and Octagonal Prisms.