# Procedural Generation with Heterogeneous Polyhedral Units using pseudo-Boolean Satisfiability

> DO NOT TOUCH, FOR MATHEMATICAL DEFINITION ONLY

`Primitive Atom`: An indivisible volumetric unit whose geometry is a single convex polyhedron.
Atom Type: An equivalence class of primitive atoms under rigid motions of ℝ³.

`Adjacency Relation`: A symmetric binary relation over primitive atoms indicating admissible face-to-face contact.

`Aggregate`: A finite set of primitive atoms whose induced adjacency graph is connected and whose internal adjacencies are fixed.

`Placement instance:` A rigid motion mapping an aggregate’s atoms into the global adjacency graph such that all internal and external adjacency constraints are satisfied.