Caitlin Mueller’s research while affiliated with Massachusetts Institute of Technology and other places

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Publications (5)


Generation of Hypergraphs
The hypergraph is generated from an architectural floorplan (a) that is converted into a boundary (b) and programmatic zones (c) that are translated into the graph nodes. The geometric subdivision of the boundary into the rooms is computed with a binary space partition (BSP) tree (d). The access between rooms is represented as a unidirectional room access graph (e) – combined they result in a hypergraph (f). A hypergraph can be applied to different floor plan boundaries (g) to create floor plans with the same topology. Different hypergraphs can be applied to the same floor plan boundary to create floor plans with different internal configurations (h).
Steps for fitting an apartment using the hypergraph method
An apartment boundary is extracted from a building (a) and combined with a library of hypergraphs (b). The applied hypergraphs generate different internal subdivisions for the apartment boundary (c). A spatial evaluation using placement of furniture, accessibility, and room geometry is performed to filter feasible solutions (d). Energy and daylight analysis are performed to further evaluate the resulting floor plan (e), and a chosen plan is inserted into the building (f).
Comparison of floor plans from Zurich, New York, and Singapore
A principal component analysis (PCA) of the hypergraphs of all floor plans (see “Methods” Residential floor plan dataset) shows a unique graph structure of each city (a). The calibrated dataset is analyzed to evaluate spatial daylight autonomy (sDA) (b). Carbon saving scenarios through excess area reduction and envelope upgrades are compared and show that in Zurich, 71.6% of apartments would save more carbon through reducing excess area, compared with 61.0% in New York and 33.0% in Singapore (c) (see “Methods”, Excess area and emissions).
Architectural opportunities for automated floor plan design
Three sample buildings with reference floor plans are being replaced by hypergraph-generated floorplans (a) (all buildings are defined in Supplemental Figs. 10–12). A plot showing the relative sDA performance of all successful floor plans with equal or more rooms (b). Comparing reference floor plans with artificially generated floor plans within the same boundary highlights different architectural opportunities (c).
Floor plan dataset
Distribution of the number of rooms in the cities of Zurich, New York, and Singapore in 2022 by number of bedrooms (a), compared with our reference dataset of analyzed floorplans (b). Histogram plot of apartment area in each city (c) and the area normalized per number of bedrooms in an apartment (d).

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A hypergraph model shows the carbon reduction potential of effective space use in housing
  • Article
  • Full-text available

September 2024

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353 Reads

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2 Citations

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Caitlin Mueller

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Humans spend over 90% of their time in buildings, which account for 40% of anthropogenic greenhouse gas emissions and are a leading driver of climate change. Incentivizing more sustainable construction, building codes are used to enforce indoor comfort standards and minimum energy efficiency requirements. However, they currently only reward measures such as equipment or envelope upgrades and disregard the actual spatial configuration and usage. Using a new hypergraph model that encodes building floorplan organization and facilitates automatic geometry creation, we demonstrate that space efficiency outperforms envelope upgrades in terms of operational carbon emissions in 72%, 61% and 33% of surveyed buildings in Zurich, New York, and Singapore. Using automatically generated floorplans in a case study in Zurich further increased access to daylight by up to 24%, revealing that auto-generated floorplans have the potential to improve the quality of residential spaces in terms of environmental performance and access to daylight.

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A hypergraph model shows the carbon reduction potential of effective space use in housing

May 2024

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850 Reads

Humans spend over 90% of their time in buildings which account for 40% of anthropogenic greenhouse gas (GHG) emissions, making buildings the leading cause of climate change. To incentivize more sustainable construction, building codes are used to enforce indoor comfort standards and maximum energy use. However, they currently only reward energy efficiency measures such as equipment or envelope upgrades and disregard the actual spatial configuration and usage. Using a new hypergraph model that encodes building floorplan organization and facilitates automatic geometry creation, we demonstrate that space efficiency outperforms envelope upgrades in terms of operational carbon emissions in 72%, 61% and 33% of surveyed buildings in Zurich, New York, and Singapore. Automatically generated floorplans for a case study in Zurich further increase access to daylight by up to 24%, revealing that auto-generated floorplans have the potential to improve the quality of residential spaces in terms of environmental performance and access to daylight.


Automated floorplan generation in architectural design: A review of methods and applications

August 2022

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1,653 Reads

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63 Citations

Automation in Construction

Accommodating predicted population growth and urbanization within the UN Climate Goals poses a significant challenge for disciplines that engage with the built environment. High performing buildings of the future should offer spatial quality for their users while utilizing resources as efficiently as possible for both construction and operation. In this review, we survey the value proposition of automatic floorplan layout generation methods and their opportunities for design guidance, feedback, and optimization in the creation of new buildings, in addition to applications for inventory characterization to survey existing housing stock and guide building policy and code. We divide existing methods into three categories: bottom-up methods, top-down methods, and referential methods. We explore advantages and challenges for each approach and propose a hybrid method for future building layout automation that utilizes a new set of metrics to create sustainable buildings of the future.


Solar exoskeletons – An integrated building system combining solar gain control with structural efficiency

July 2022

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148 Reads

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15 Citations

Solar Energy

We propose the use of solar exoskeletons, an integrated building system that combines material efficiency in structural load transfer with passive solar gain control. This offers an impactful way to respond to the UN climate goals, as the architecture and engineering disciplines face the challenge of delivering low carbon buildings. While reducing operational and embodied emissions is often considered independently, we can show how approaching them in tandem, through a novel building system, can offer significant savings. With large spans for maximum spatial flexibility and full glazing maximizing daylight, high-rise buildings are often suboptimal in terms of their material usage from steel frame construction and cooling demand from uncontrolled solar gains. We view solar exoskeletons as a sustainable pathway for future high-rise structures – combining solar gain control through external shading with a highly efficient structural system optimized for lateral loads in tall buildings. We present an automated workflow that combines parametric modeling of architectural elements and structural simulation with Radiance-based annual radiation simulations and an operational energy model in EnergyPlus. Evaluating embodied carbon and energy use intensity of midrise and tower buildings in timber and steel, we compare hundreds of iterations for a prototypical building in Phoenix, USA. Our results show that exoskeletons can lead to embodied and operational carbon reductions in the lateral load-resisting structural system of 37–80% and 24–48%, respectively, vis-à-vis conventional construction techniques. Adding photovoltaic modules to the external shading system can lead to net zero building solutions for the buildings investigated in this case study.


Citations (4)


... A hypergraph is a generalization of a conventional graph, extending and abstracting concepts from graph theory [51,60,152,153,164]. Hypergraphs have wide-ranging applications across fields such as machine learning, biology, social sciences, and graph database analysis, among others (e.g., [69,85,139,187,232,403,427,443]). From a set-theoretic perspective, a hypergraph can, without risk of misunderstanding, be viewed as the powerset of its vertex set. ...

Reference:

Superhypergraph Neural Networks and Plithogenic Graph Neural Networks: Theoretical Foundations
A hypergraph model shows the carbon reduction potential of effective space use in housing

... Referential methods, which involve learning from precedents and using architectural catalogs and previously generated designs, have been of interest in both professional and educational settings. Machine learning (ML) algorithms with deep neural networks, such as generative adversarial networks (GANs) (Fig. 1) and mathematical programming methods, have been used in referential designs (Weber et al. 2022). ...

Automated floorplan generation in architectural design: A review of methods and applications
  • Citing Article
  • August 2022

Automation in Construction

... Circular Economy strategies represent a relatively new research direction for building envelopes. A notable concept is the 'Solar Exoskeleton', a building system that combines passive solar gain control with material efficiency in high-rise structural systems (Weber, Mueller, and Reinhart 2022). Their study employed a computational workflow that incorporated parametric design, structural optimization and simulations, reducing embodied and operational carbon. ...

Solar exoskeletons – An integrated building system combining solar gain control with structural efficiency
  • Citing Article
  • July 2022

Solar Energy

... Recent studies show that existing buildings' annual global renovation rate must rise from 1% to 5% to control the total carbon emissions from the world's building stock (Weber et al. 2021). To illustrate, this equates to 1.5 homes being retrofitted in the United Kingdom every minute from now until 2050 (Timperley 2018). ...

Building for Zero, The Grand Challenge of Architecture without Carbon
  • Citing Article
  • January 2021

SSRN Electronic Journal