Parametric Timber Urbanism: Algorithmic Wooden Megastructures for Low-Entropy, High-Density Land Use

Introduction:
Rapid urbanisation intensifies land entropy—manifested as spatial disorder, escalating resource dissipation, and ecological fragmentation—especially in cities that continue to sprawl horizontally. This paper advances Parametric Timber Urbanism, a design paradigm in which algorithmically generated cross-laminated-timber (CLT) and glulam megastructures stack mixed-use neighbourhoods vertically, shrinking urban footprints while lowering material and energy entropy and maintaining architectural flexibility.

Methods:
A three-tier workflow was adopted:

1. Generative Modelling—Rhino-Grasshopper scripts evolved mass-timber superstructures from a 12 m × 12 m grid, incorporating variable core positions and modular facade panels.

2. Multi-Objective Optimisation—A genetic algorithm balanced floor-area ratio, daylight autonomy, carbon sequestration, and structural efficiency, producing hundreds of candidate morphologies.

3. Entropy-Based Assessment—Integrated lifecycle inventory and exergy accounting quantified embodied energy, cumulative entropy generation, and circular-material loops. Benchmark scenarios compared timber towers to conventional steel–concrete high-rise typologies across three global climate zones.

Results:
Optimised timber megastructures achieved a 65% reduction in embodied carbon and a 48% drop in cumulative exergy loss relative to steel–concrete towers of equivalent composition. Land-use efficiency rose from 3.5 to 9.2 in floor-area ratio, enabling a 72% decrease in ground coverage while preserving gross floor area. Passive-environmental performance improved: daylight and natural-ventilation indices increased by 28%, and thermal-mass modulation cut annual operational energy by 21%. Modular plug-in units allow 30-year lifecycle reconfigurations with <5 % additional material, demonstrating adaptive capacity without intensifying entropy.

Conclusions:
Algorithmic mass-timber systems can deliver high-density, low-entropy urban morphologies that outperform conventional high-rise construction across environmental, structural, and socio-economic metrics. By pairing parametric optimisation with entropy-based evaluation, Parametric Timber Urbanism offers a scalable template for sustainable vertical expansion, aligning urban growth with carbon neutrality and circular resource flows.