Discrete Optimization in Architecture

Quantization in Architecture & Urban Design:<br><br>1. Tessellation of space<br>1.1 Traditional grid/guideline systems (before the computer era)<br>1.1.1 Architecture<br>1.1.2 Urban Design<br><br>1.2 Modern (of the computer era) grid systems<br>1.2.1 “Collateral” systems, that is, derived from existing image pixelation<br>1.2.2. Space discretization serving optimization<br>1.2.3 Novel architectonic grid systems<br>1.2.3.1 Fine grid (“one cell = one agent”)<br>1.2.3.1.1 Agent based modeling for crowd simulation<br>1.2.3.1.2 Simulation in regular tessellations: Square, Triangular<br>& Hexagonal<br>1.2.3.2 Coarse grid (“cell side = minimal corridor width” )<br><br>2. Discretization of Time<br>2.1 The role of time in architectural (and urban design?)<br>2.1.1 Crowd simulations<br>2.1.2 Daylight simulations<br><br>3. Module as a building component<br>3.1 Definition of a modular system and an overview of existing modular systems<br>3.2. Principles of two novel modular systems: Pipe-Z (PZ) & Truss-Z (TZ)<br>3.2.1 Deployability of PZ & TZ<br><br>4. Bringing it all together: Overview of the cellular automaton (CA) shading as a system with discrete time<br>& space and realized with congruent modules.<br>4.1 Building Envelope and Daylighting<br>4.2 Why cellular automata (CA) to drive shading of building envelopes?<br>4.3 One-dimensional CA applied on surfaces<br>4.3.1 Various CA in square grid<br>4.3.2 Other regular tessellations: hexagonal and triangular<br/>4.3.3 Rotating polarized film shading system<br>4.4 Two-dimensional CA on surfaces<br>4.4.1 Triangular CA<br>4.4.2 CA on triangulated free-form surfaces<br>4.5 Application of evolutionary algorithms for optimization of CA shading<br>4.6 Prototypes<br><br>