Examples Of Triakisicosahedron. In geometry, a triakis octahedron is an archimedean dual solid, or a catalan solid. This is a modular origami and the units are the same from my excavated dodecahedron.

If you have three different colors of paper you can make a version of the model where no two units of the same color touch one. Another difficulty is the complexity of relationship of stellation facets. The triakis icosahedron is a simple example of such constructions.