The world's growing urban population has created a pressing need for more residential buildings. To address this challenge, this project has leveraged the power of combinatorics and fabrication-aware digital timber to create modular housing. The project proposes liveable units using discrete elements which are combined to form single houses. A constraint-based solver was then used to aggregate the single houses, creating multi-level habitats. Additionally, 3D graphic statics were used to form-find a stable column design, which was then materialised. To achieve custom bespoke joinery for the nodes, we used robotic additive manufacturing and tested various slicing techniques in order to save time and resources. Our innovative approach to modular housing has the potential to provide sustainable and affordable housing solutions for communities around the world.