TOPOLOGICAL
GRAPHS IN
ARCHITECTURE

preliminaries 

 contribution 

 outcome 

 conclusion

  • Graphs and Topology in Architecture
  • Feedback in Early Design Stages
  • Machine Learning in Architectural Design
  • Synthetic Architecture Datasets

PRELIMINARIES

graph theory 

 topology 

 space syntax 

 space partitioning

GRAPH THEORY

Nodes

Edges

Graph

GRAPH THEORY

Taj Mahal

La Rotonda

Villa Savoye

Taj Mahal

La Rotonda

Villa Savoye

Taj Mahal

La Rotonda

Villa Savoye

GRAPH THEORY

Degree

Betweenness

Closeness

GRAPH THEORY

Shortest Path

Spanning Tree

Visibility Graph

TOPOLOGY

SPACE SYNTAX

Axial Map

Convex Space

Isovist

SPACE PARTITIONING

Subdivision

SPACE PARTITIONING

Aggregation

CONTRIBUTION

dataset generation 

 machine learning

Design for Manufacturing Principle

GENERATION PIPELINE

Input

Binary Tree

Outline

SPACE PARTITIONING

Input

Binary Tree

Outline

Iteration 1

Iteration 2

Iteration 3

POST-PROCESSING

2D Layout

Extrusion

Window Placement

POST-PROCESSING

Connectivity Graph

MST

Door Placement

ARCHITECTURAL RULES

Low Ratio

Sharp Angle

Good Layout

ENERGY SIMULATION

GRAPH-RETRIEVAL

BIM Model

Topologic Graph

MACHINE LEARNING

Classification

Regression

Classification

Regression

Classification

Regression

GRAPH NEURAL NETWORKS

OUTCOME

Dataset

Dataset

Dataset

DGCNN Regressor

DGCNN Classifier

Classification

Regression

CONCLUSION

  • Graphs and Topology in Architecture
  • Feedback in Early Design Stages
  • Machine Learning in Architectural Design
  • Synthetic Architecture Datasets

Graphs and Topology in Architecture

Kreuzberg

Axial Graph

Length

Centrality

La Rotonda

Topological Graph

Degree

Depth

Design Feedback through Machine Learning

Synthetic Architecture Datasets

Professor of Architecture

Wassim Jabi