Beaux-Arts Hyperdimensional Cartography

Beaux-Arts Latent Space Navigator

An exploration into hyperdimensional cartography and architectural interpolation. By training Generative Adversarial Networks (GANs) on classical Beaux-Arts plans and elevations, I engineered a system to map, navigate, and smoothly interpolate the latent design space of historical architectural topologies.

Publication: Log 50

The computational methodologies and resulting visual topologies from this research were published in Log 50 — "Shadowplays: Models, Drawings, Cognitions", demonstrating the capacity for neural networks to act as rigorous, exploratory tools in architectural theory.

Log 50 cover
Log 50 spread 1
Log 50 spread 2

Curating the Architectural Dataset

To train the generative models, I curated and pre-processed a vast dataset of 17th and 18th-century Beaux-Arts drawings. The technical challenge was ensuring the network could learn the strict, rule-based constraints of classical architectural representation before attempting to hybridize them.

Beaux-Arts dataset sprite

Real Images

Real Beaux-Arts drawings

Training in Progress

GAN training progress

Vector Arithmetic & Latent Navigation

The true value of these generative networks lies in their continuous latent organization. I built an interactive navigator to explore this space. By applying vector arithmetic, an interpolation between a rigid plan and a section image reveals entirely novel, mathematical architectural hybrids that maintain structural coherence.

Latent space smooth interpolation 1
Latent space varied interpolation 1
Latent space smooth interpolation 2
Latent space varied interpolation 2
Latent vector arithmetic

Dimensionality Reduction & Geometric Projection

Navigating a high-dimensional latent space requires legible tooling. I applied methods of geometric projection and developability to flatten the hyperdimensional latent space into a readable 2D map. This allows designers to visually identify local neighborhoods of stylistic variants and plot deliberate trajectories through the latent space.

2D latent space map
Geometric projection diagram