Author First name, Last name, Institution

Document Type

Article

Source of Publication

Buildings

Publication Date

8-1-2026

Abstract

Façade design has long oscillated between repetitive order and visual disorder, and computational tools now make controlled irregularity easy to generate but hard to build; comparatively few studies follow a stochastic envelope from algorithm to a completed building. This paper examines controlled randomness as a deliberate, constructible strategy for façade composition. A parametric Grasshopper workflow erodes a square grid of wall modules through a seeded random-reduction rule—a deterministic, rule-based procedure that uses no machine learning or artificial intelligence—whose intensity increases up the building, producing a depth-modulated, quarry-like relief realized with one ordinary product—40 × 20 cm concrete blocks in four thicknesses—set to a color-coded projection key. The method is documented through a completed mid-rise residential building in Aramoun, Mount Lebanon, and evaluated for aesthetics, environmental function, structure, and constructability. Across 200 seeds, box-counting fractal dimension and lacunarity show that the generated pattern occupies a narrow, reproducible band of complexity—stable to within about 0.5%—statistically distinct from both periodic order and free disorder. A module-by-module comparison of the as-built record against the model shows the designed pattern reproduced across all 2978 units without projection-class error, the only departures being sub-centimeter positional shifts in the base plane absorbed from a structural tolerance. Bounded by explicit rules and parameterized in a standard masonry block, randomness behaves as a controllable, buildable design parameter rather than noise.

ISSN

2075-5309

Publisher

MDPI AG

Volume

16

Issue

15

Disciplines

Architecture

Keywords

computational architecture, controlled randomness, design-to-construction, fractal dimension, generative design, Grasshopper, parametric façade, stochastic geometry

Scopus ID

105047033405

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Indexed in Scopus

yes

Open Access

yes

Open Access Type

Gold: This publication is openly available in an open access journal/series

Included in

Architecture Commons

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