Toroidal blend of 38 octahedra

The  is a Stewart toroid that consists of 208 triangles. It can be obtained by outer-blending thirty-eight octahedra together in eight-membered loops that resemble rhombi, forming a virtual rhombic dodecahedron. The 14 octahedra at the virtual polyhedron's vertices are all oriented in the same way; the other 24 serve as triangular antiprisms.

Relations
The toroid can be made out of copies of any other Platonic or Archimedean solid that shares the faceplanes of the octahedron, including the icosahedron and some of its truncations.