Abstract
An important task in the initial stages of most architectural design processes is the design of planar floor plans, that are composed of non-overlapping rooms divided from each other by walls while satisfying given topological and dimensional constraints. The work described in this paper is part of a larger research aimed at developing the mathematical theory for examining the feasibility of given topological constraints and providing a generic floor plan solution for all possible design briefs. In this paper, we mathematically describe universal (or generic) rectangular floor plans with n rooms, that is, the floor plans that topologically contain all possible rectangular floor plans with n rooms. Then, we present a graph-theoretical approach for enumerating generic rectangular floor plans upto nine rooms. At the end, we demonstrate the transformation of generic floor plans into a floor plan corresponding to a given graph.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 331-350 |
| Number of pages | 20 |
| Journal | Artificial Intelligence for Engineering Design, Analysis and Manufacturing: AIEDAM |
| Volume | 32 |
| Issue number | 3 |
| DOIs | |
| State | Published - Aug 1 2018 |
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All Science Journal Classification (ASJC) codes
- Industrial and Manufacturing Engineering
- Artificial Intelligence
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Introduction to generic rectangular floor plans. / Shekhawat, Krishnendra; Pinto Duarte, Jose M.
In: Artificial Intelligence for Engineering Design, Analysis and Manufacturing: AIEDAM, Vol. 32, No. 3, 01.08.2018, p. 331-350.Research output: Contribution to journal › Article
TY - JOUR
T1 - Introduction to generic rectangular floor plans
AU - Shekhawat, Krishnendra
AU - Pinto Duarte, Jose M.
PY - 2018/8/1
Y1 - 2018/8/1
N2 - An important task in the initial stages of most architectural design processes is the design of planar floor plans, that are composed of non-overlapping rooms divided from each other by walls while satisfying given topological and dimensional constraints. The work described in this paper is part of a larger research aimed at developing the mathematical theory for examining the feasibility of given topological constraints and providing a generic floor plan solution for all possible design briefs. In this paper, we mathematically describe universal (or generic) rectangular floor plans with n rooms, that is, the floor plans that topologically contain all possible rectangular floor plans with n rooms. Then, we present a graph-theoretical approach for enumerating generic rectangular floor plans upto nine rooms. At the end, we demonstrate the transformation of generic floor plans into a floor plan corresponding to a given graph.
AB - An important task in the initial stages of most architectural design processes is the design of planar floor plans, that are composed of non-overlapping rooms divided from each other by walls while satisfying given topological and dimensional constraints. The work described in this paper is part of a larger research aimed at developing the mathematical theory for examining the feasibility of given topological constraints and providing a generic floor plan solution for all possible design briefs. In this paper, we mathematically describe universal (or generic) rectangular floor plans with n rooms, that is, the floor plans that topologically contain all possible rectangular floor plans with n rooms. Then, we present a graph-theoretical approach for enumerating generic rectangular floor plans upto nine rooms. At the end, we demonstrate the transformation of generic floor plans into a floor plan corresponding to a given graph.
UR - http://www.scopus.com/inward/record.url?scp=85047848762&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85047848762&partnerID=8YFLogxK
U2 - 10.1017/S0890060417000671
DO - 10.1017/S0890060417000671
M3 - Article
AN - SCOPUS:85047848762
VL - 32
SP - 331
EP - 350
JO - Artificial Intelligence for Engineering Design, Analysis and Manufacturing: AIEDAM
JF - Artificial Intelligence for Engineering Design, Analysis and Manufacturing: AIEDAM
SN - 0890-0604
IS - 3
ER -