The principle of symmetry has beneficial applications in architecture. Symmetry mainly creates order and equilibrium in complex designs. This study presents a graph theoretic approach for the automatic generation of rectangular floorplans with block symmetry. Existing graph theoretical approaches focus on the floorplan’s outer boundary design, different room shapes, and spatial arrangements. This paper introduces block symmetry as a new concept in floorplan generation. Based on this concept, an algorithm is proposed for generating a rectangular floorplan with rectangular blocks for a given adjacency graph if one exists. Further, suppose two blocks are required to be symmetric, i.e., of equal size. In that case, an optimisation framework is used to equate the widths and heights of the blocks, resulting in the generation of a rectangular floorplan with block symmetry. A GUI is provided for users to perform the automatic generation of floorplans. Keywords.
| Authors | Shiksha Shiksha and Krishnendra Shekhawat and Sujay Rastogi and Aishwarya Kondaveeti and Jose´ P. Duarte |
|---|---|
| Year | 2023 |
| Venue | Proceedings of the International Conference on Computer-Aided Architectural Design Research in Asia |
| DOI | 10.52842/CONF.CAADRIA.2023.2.391 |
| Source Database | Seed (CumInCAD) |
| Bridge-to-GNN | Category Seed |
| GNN Architecture | Not yet extracted from PDF |
| Graph Encoding | Room Adjacency Graph (inferred from title) |
| AEC Task | Not yet extracted from PDF |
| Cohort | Consolidation (2023) |
| Key Finding | block symmetry as a new concept in floorplan generation (heuristic — verify) |
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| GNN architectures detected | Knowledge Graph Embedding (TransE/RotatE/DistMult) |
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| Dataset stats found | 12 vertices |
| Quality (heuristic, 6-flag) | 0/6 · rigor: Low Code/Data: —Benchmark: —Baseline: —CV/Split: —Ablation: —Reproducible: — |
Part of the GML/GNN in AEC Systematic Review (PRISMA 2020) — 112 papers, 2020–2026