id |
caadria2023_93 |
authors |
Shiksha, Shiksha, Shekhawat, Krishnendra, Rastogi, Sujay, Kondaveeti, Aishwarya and Duarte, Jose´ P. |
year |
2023 |
title |
Rectangular Floorplans with Block Symmetry |
doi |
https://doi.org/10.52842/conf.caadria.2023.2.391
|
source |
Immanuel Koh, Dagmar Reinhardt, Mohammed Makki, Mona Khakhar, Nic Bao (eds.), HUMAN-CENTRIC - Proceedings of the 28th CAADRIA Conference, Ahmedabad, 18-24 March 2023, pp. 391–400 |
summary |
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 |
symmetry, floorplans, graph theory, algorithm, linear optimisation |
series |
CAADRIA |
email |
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full text |
file.pdf (1,073,619 bytes) |
references |
Content-type: text/plain
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Bisht, S., Shekhawat, K., Upasani, N., Jain, R., Tiwaskar, R., & Hebbar, C. (2022)
Transforming an Adjacency Graph Into Dimensioned Floorplan
, Computer Graphics Forum, 41(6), 5-22. Available at: https://doi.org/1.1111/cgf.14451
|
|
|
|
Hargittai, C. I., & Hargittai, M. (1994)
Symmetry: a Unifying Concept
, Bolinas, California: Shelter Publications
|
|
|
|
Ko Zminski, K., & Kinnen, E. (1985)
Rectangular Duals of Planar Graphs
, Networks, 15(2), 145--157
|
|
|
|
Shekhawat, K., Upasani, N., Bisht, S., & Jain, R. (2021)
A Tool for Computer Computer-generated Dimensioned Floorplans Based on Given Adjacencies
, Automation in Construction, 127, 1-22. Available at: https://doi.org/1.116/j.autcon.221.13718
|
|
|
|
Stiny, G., & Mitchell, W. J. (1978)
The Palladian Grammar
, Environment and Planning B, 5(1), 5-8
|
|
|
|
Stiny, G., & Mitchell, W. J. (1980)
The Grammar of Paradise: on the Generation of Mughul Gardens
, Environment and Planning B, 7(2), 29-226
|
|
|
|
Upasani, N., Shekhawat, K., & Sachdeva, G. (2020)
Automated Generation of Dimensioned Rectangular Floorplans
, Automation in Construction, 113, 13-149. Available at: https://doi.org/1.116/j.autcon.22.13149
|
|
|
|
Williams, K. (1999)
Symmetry in Architecture
, Visual Mathematics, 1(1)
|
|
|
|
Wu, W., Fan, L., Liu, L., & Wonka, P. (2018)
Miqp-based Layout Design for Building Interiors
, Computer Graphics Forum, 37(2), 511-521. Available at: https://doi.org/1.1111/cgf.1338
|
|
|
|
Wu, W., Fu, X.-M., Tang, R., Wang, Y., Qi, Y.-H., & Liu, L. (2019)
Data-driven Interior Plan Generation for Residential Buildings
, ACM Transactions on Graphics (TOG), 38(6), 1-12. Available at: https://doi.org/1.1145/335589.3356556
|
|
|
|
Xiao-Yu, W., Yin, Y., Kang, & Zhang. (2018)
Customization and Generation of Floorplans Based on Graph Transformations
, Automation in Construction, 94, 45-416. Available at: https://doi.org/1.116/j.autcon.218.7.17
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last changed |
2023/06/15 23:14 |
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