Equilibrium of Compression-Only Structures Made of Convex Polyhedra
An equilibrium analysis method for procedural buildings will be discussed along with its application on assemblies of convex polyhedra. A structure made of simple bricks put together without reinforcement (e.g., glue or mortar) may sound counterintuitive; however, math and history show otherwise. Formally speaking, given the geometry of the blocks and the assumption of rigid bodies, we can determine if a structure can support itself under gravity load (feasible structure). Furthermore, we can find the minimum forces required for unfeasible structures to become feasible. We apply this analysis on assemblies made of convex building blocks (e.g., Platonic Solids and Antiprisms).