👉 A triakisicosahedron is a polyhedron composed of 10 equilateral triangles. It has 10 vertices, 12 edges, and 45 faces. The name "triakis" comes from the fact that all its faces are triangular and have side length equal to one-third of the diameter of the triakisicosahedron. Triakisicosahedrons are commonly used in crystallography for their properties as a model system for the structure