Probability

This project focuses on researching and applying the Wave Function Collapse (WFC) algorithm to architectural design, aiming to create innovative, algorithm-driven modular layouts. The exploration is pivotal in advancing architectural computation, integrating sustainability and functionality in modern urban development.

WFC is not a growth algorithm — it always generates a complete, valid aggregate (or no solution at all), leaving no slots empty. This has important implications for design, architecture and urban planning: the aggregates are not branching but rhizomatic structures; there is no overlapping and there are no untreated areas.

When assessing different tools for discrete design, the WFC algorithm shows clear advantages in logical coherence, rule complexity and design diversity. It can not only simulate natural processes but also offers user interactivity and computational efficiency.

The project developed various module types, including residential modules (double rooms, single rooms, offices), connection modules (platforms, elevators, staircases) and connectors in various directions. For a given slot shape, the algorithm identifies the current condition of the slots and provides a solution for it.