Structure 1: *'Icosahedron'* Platonic solid

One of the five Platonic solids. A convex polyhedron with 20 faces, 30 edges and 12 vertices. It has five equilateral triangular faces meeting at each vertex. It is represented by its Schläfli symbol {3,5}, or sometimes by its vertex figure as 3.3.3.3.3 or 35. It is the dual of the dodecahedron, which is represented by {5,3}, having three pentagonal faces around each vertex.

Construction of the Icosahedron primitive

"Icosaedro desarrollo" by Rectas - Own work. Licensed under CC0 via Wikimedia Commons.Twenty faces replicated and assembled to produce the full icosahedron sphere subframe.