Characteristics of the development and evolution of structural elements pertaining to lightweight sculptural assemblies


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 or 35. It is the dual of the dodecahedron, which is represented by {5,3}, having three pentagonal faces around each vertex.

Net Folding

Construction of the Icosahedron primitive

Rectas "Icosaedro desarrollo" by Rectas - Own work. Licensed under CC0 via Wikimedia Commons.

Segment construction

Twenty faces replicated and assembled to produce the full icosahedron sphere subframe.