CumInCAD is a Cumulative Index about publications in Computer Aided Architectural Design
supported by the sibling associations ACADIA, CAADRIA, eCAADe, SIGraDi, ASCAAD and CAAD futures

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_id caadria2024_386
id caadria2024_386
authors Liang, Jiadong, Zhong, Ximing and Koh, Immanuel
year 2024
title Bridging Bim and AI: A Graph-Bim Encoding Approach for Detailed 3D Layout Generation Using Variational Graph Autoencoder
doi https://doi.org/10.52842/conf.caadria.2024.1.221
source Nicole Gardner, Christiane M. Herr, Likai Wang, Hirano Toshiki, Sumbul Ahmad Khan (eds.), ACCELERATED DESIGN - Proceedings of the 29th CAADRIA Conference, Singapore, 20-26 April 2024, Volume 1, pp. 221–230
summary Building Information Modelling (BIM) data provides an abundant source with hierarchical and detailed information on architectural elements. Nevertheless, transforming BIM data into an understandable format for AI to learn and generate controllable and detailed three-dimensional (3D) models remains a significant research challenge. This paper explores an encoding approach for converting BIM data into graph-structured data for AI to learn 3D models, which we define as Graph-BIM encoding. We employ the graph reconstruction capabilities of a Variational Graph Autoencoder (VGAE) for the unsupervised learning of BIM data to identify a suitable encoding method. VGAE's graph generation capabilities also reason for spatial layouts. Results demonstrate that VGAE can reconstruct BIM 3D models with high accuracy, and can reason the entire spatial layout from partial layout information detailed with architectural components. The primary contribution of this research is to provide a novel encoding approach for bridging AI and BIM encoding. The Graph-BIM encoding method enables low-cost, self-supervised learning of diverse BIM data, capable of learning and understanding the complex relationships between architectural elements. Graph-BIM provides foundational encoding for training general-purpose AI models for 3D generation.
keywords BIM, graph-structured, encoding approach, VGAE, graph reconstruction and generation
series CAADRIA
email
last changed 2024/11/17 22:05

_id ecaade2024_198
id ecaade2024_198
authors Liang, Jiadong; Zhong, Ximing; Koh, Immanuel
year 2024
title Building-VGAE: Generating 3D detailing and layered building models from simple geometry
doi https://doi.org/10.52842/conf.ecaade.2024.1.625
source Kontovourkis, O, Phocas, MC and Wurzer, G (eds.), Data-Driven Intelligence - Proceedings of the 42nd Conference on Education and Research in Computer Aided Architectural Design in Europe (eCAADe 2024), Nicosia, 11-13 September 2024, Volume 1, pp. 625–634
summary In the current field of AI-assisted architectural design, deep learning models primarily focus on simulating the highly detailed final models designed by human architects. However, in practical design tasks, the final model demands a high level of detail and clear layered classification information for building components. This presents a more significant challenge. We propose a three-dimensional(3D) building generation framework—Building-VGAE, based on Variational Graph Autoencoder (VGAE). Building-VGAE can generate 3D models with detailed building components and layered structure information from end to end, according to design constraints and building volumes. Building-VGAE’s experiment involves transforming 27,965 Housegan data into 3D data represented as graph-structured. The VGAE model then learns the data features and predicts the building component categories to which nodes and edges belong in the experiment. The results demonstrate that the framework can precisely reconstruct and predict building layouts that comply with design constraints and enable unified editing of building components of the same category. Building-VGAE contributes to its ability to learn the generative relationship from design constraints and building volumes to complex high-detail models compared to existing AI generative models. It also possesses prediction and editing capabilities based on the layered classification information of building components. This framework has the potential to position AI as a design partner for human architects, offering end-to-end 3D generative intelligence.
keywords Variational Graph Auto-Encoder, 3D Spatial Grid Structure, Detailed Building Components, Layered Structure, Graph Reconstruction and Generation
series eCAADe
email
last changed 2024/11/17 22:05

_id caadria2009_074
id caadria2009_074
authors Liang, Rung-Huei; Ying-Ming Huang
year 2009
title Visualizing Bits as Urban Semiotics
doi https://doi.org/10.52842/conf.caadria.2009.033
source Proceedings of the 14th International Conference on Computer Aided Architectural Design Research in Asia / Yunlin (Taiwan) 22-25 April 2009, pp. 33-42
summary Geosemiotics, defined as the study of meaning of placing signs in the material world, concerns the interaction of spatial, individual, social, and cultural contexts. Mobile technology, enabling spatial awareness successfully, has turned our living space into coordinates to broaden geosemiotics study. With interdisciplinary perspectives, there is an emerging potential to integrate the study of mobile spatial interaction and geosemiotics and we address several open issues of geospatial applications in this paper. Since indexicality is the focus of geosemiotics study, we focus on digital indexicalities referring to physical space. Physical indexical signs are usually set by government or organizations rather than individuals, and therefore we propose a new concept to place personal indexical signs in the physical space with mobile devices and augmented reality technology. Overlapped onto the physical world via visual, iconic, and metaphorical methods, what these unique personal semiotics bring is a living space with novel urban landscape and geosemiotics.
keywords locative media; geosemiotics; augmented reality; ubiquitous computing; mobile spatial interaction
series CAADRIA
email
last changed 2022/06/07 07:59

_id 698a
authors Liang, You-Dong and Barsky, Brian A.
year 1983
title An Analysis and Algorithm for Polygon Clipping
source Communications of the ACM November, 1983. vol. 26: pp. 868-877 : ill. includes bibliography.
summary (This is one of the two standard algorithms for clipping. The other is the Sutherland-Hodgman reentrant algorithm). The process of polygon clipping is analyzed and the understanding gained thereby forms the foundation of a very direct algorithm. Each edge of the input polygon is considered to be a vector and is then extended to be a line of infinite extent. The boundary line segments of the clip window are extended in a similar fashion to become boundary lines. The intersection points of an extended edge with the boundary lines are identified as entry or exit points. It is observed that these entry and exit points can be used to characterize the visibility status of the edge. Not only might the edge have a visible segment, but it can also induce the inclusion in the output polygon of a vertex at a corner of the clip window called a turning vertex. To quantify the visibility conditions, the edge is written in parametric form. The possible contributions (including nil) that can be provided to the output polygon by a particular edge are established. This analysis is then embedded in an algorithm. An arbitrary example input polygon is given and the output of the algorithm is shown. The execution time for this example using this algorithm is measured to be half of what is required by the standard Sutherland-Hodgman reentrant polygon clipping algorithm
keywords polygons, clipping, algorithms, computer graphics
series CADline
last changed 2003/06/02 13:58

_id 05b4
authors Liang, You-Dong and Barsky, Brian A.
year 1984
title A New Concept and Method for Line Clipping
source ACM Transactions on Graphics. January, 1984. vol. 3: pp. 1-22 : ill. includes bibliography
summary A new concept and method for line clipping is developed that describes clipping in an exact and mathematical form. The basic ideas form the foundation for a family of algorithms for two-dimensional, three-dimensional, and four-dimensional (homogeneous coordinates) line clipping. The line segment to be clipped is mapped into a parametric representation. From this, a set of conditions is derived that describes the interior of the clipping region. Observing that these conditions are all of similar form, they are rewritten such that the solution to the clipping problem is reduced to a simple max/min expression. For each dimension, the mathematics are discussed, an example is given, the algorithm is designed, and a performance test is conducted. The new algorithm is compared with the traditional Sutherland-Cohen clipping algorithm. Using randomly generated data, the new algorithm showed a 36 percent, 40 percent, and 79 percent improvement for two-dimensional, three-dimensional, and four- dimensional clipping, respectively. One of the advantages of this algorithm is the quick rejection of line segments that are invisible. In addition, this algorithm can be easily generalized for clipping against any convex viewing volume
keywords algorithms, clipping, computer graphics, analysis
series CADline
last changed 2003/06/02 13:58

_id cf2005_2_36_65
id cf2005_2_36_65
authors LIAO Kai and HAN Chia Y.
year 2005
title Collective Pavilions: A Generative Architectural Modelling for Traditional Chinese Pagoda
source Learning from the Past a Foundation for the Future [Special publication of papers presented at the CAAD futures 2005 conference held at the Vienna University of Technology / ISBN 3-85437-276-0], Vienna (Austria) 20-22 June 2005, pp. 129-138
summary This paper investigates generative architectural modelling for traditional Chinese architecture and aims to explore and extend the potential of adaptive computing for architectural design methods. The design manners analysis of traditional pagodas architectures is made in a holistic view and under historical perspective. We propose a descriptive model and generative system for the design of traditional Chinese pagodas, by which each pagoda is defined as a collection of style-matched and form-coordinated pavilions and described by both topological graphs and variant geometrical units. Our approach models both of the building geometry and space organization/spatial patterns of pagodas separately. The generative mechanism consists of a framework of grammar-based design and parametric, recursive shape computation. Accordingly, the generative algorithm is also made of two levels, the topology of spatial patterns and the shape geometrical parameters that characterize pavilion variations. The algorithm for computing the former is based on GP (Genetic Programming) and the latter GA (Genetic Algorithms). To explore the collective behaviour of a group of pavilions, multi-agent modelling approach is incorporated in composition patterns search. A prototype system, 'glPagoda', using the OpenGL graphics library for rendering and visualization, has been developed and implemented on PC windows platform.
keywords pagoda, grammar-based design, multi-agent modelling, generative design system
series CAAD Futures
email
last changed 2005/05/05 07:06

_id caadria2010_036
id caadria2010_036
authors Liao, Hsiu-Ting; Teng-Wen Chang and Ih-Cheng Lai
year 2010
title Storytelling: a computational approach for convergent thinking
doi https://doi.org/10.52842/conf.caadria.2010.381
source Proceedings of the 15th International Conference on Computer Aided Architectural Design Research in Asia / Hong Kong 7-10 April 2010, pp. 381-390
summary Convergent thinking is an important skill in early design process to deal with the complexity and dynamic nature of design. In this research, by exploring the storytelling mechanism as one way to develop an idea generation representation called DIM (Dynamic Idea Map), we investigate characteristics of convergent process during the brainstorming experiments we conducted. A computational platform called Idea Story (Idea as Storytelling) is proposed which produces a narrative and helps generate a meaningful representation.
keywords Storytelling; convergent thinking; idea map; design narrative
series CAADRIA
email
last changed 2022/06/07 07:59

_id cf2015_484
id cf2015_484
authors Liao, Kai; Vries, Bauke de; Kong, Jun and Zhang, Kang
year 2015
title Pattern, cognition and spatial information processing: Representations of the spatial layout of architectural design with spatial-semantic analytics
source The next city - New technologies and the future of the built environment [16th International Conference CAAD Futures 2015. Sao Paulo, July 8-10, 2015. Electronic Proceedings/ ISBN 978-85-85783-53-2] Sao Paulo, Brazil, July 8-10, 2015, pp. 484.
summary In this paper, we review and extend the idea of Alexander’s “pattern language”, especially from the viewpoints of complexity theories, information systems, and human-computer interaction, to explore spatial cognition-based design representations for “intelligent and adaptive/interactive environment” in architecture and urban planning. We propose a theoretic framework of design patterns “with spatial information processing”, and attempt to incorporate state-of-the-art computational methods of information visualization/visual analytics into the conventional CAAD approaches. Focused on the spatial-semantic analytics, together with abstract syntactic pattern representation, by using “spatial-semantic aware” graph grammar formalization, i.e., Spatial Graph Grammars (SGG), the relevant models, algorithms and tool are proposed. We testify our theoretic framework and computational tool VEGGIE (a Visual Environment of Graph Grammar Induction Engineering) by using actual architectural design works (spatial layout exemplars of a small office building and the three house projects by Frank Lloyd Wright) as study cases, so as to demonstrate our proposed approach for practical applications. The results are discussed and further research is suggested.
keywords Pattern language, complex adaptive systems, spatial cognition, design representations, spatial information processing, Artificial Intelligence, visual language, Spatial Graph Grammars (SGG), spatial-semantic analytics.
series CAAD Futures
email
last changed 2015/06/29 07:55

_id caadria2019_437
id caadria2019_437
authors Liao, Pan, Gu, Ning, Brisbin, Chris, Rofe, Matthew and Soltani, Sahar
year 2019
title Computationally Mapping Spatial Properties of Chinese Historic Towns using Space Syntax
doi https://doi.org/10.52842/conf.caadria.2019.1.361
source M. Haeusler, M. A. Schnabel, T. Fukuda (eds.), Intelligent & Informed - Proceedings of the 24th CAADRIA Conference - Volume 1, Victoria University of Wellington, Wellington, New Zealand, 15-18 April 2019, pp. 361-370
summary Due to its geographic size and long cultural history of fluctuating borders, China has a large number of historic settlements; each with their own unique geometric, cultural, social, and spatial characteristics. Despite the various studies that have attempted to qualitatively describe the spatial properties of historic towns, there are limited attempts to understand the spatial qualities of these towns through a quantitative approach, such as space syntax. This paper proposes and demonstrates a computational approach based on space syntax to map spatial properties of these towns. Four spatial features are examined and evaluated to capture the spatial patterns of Chinese historic towns: (1) axiality, (2) curvature, (3) intelligibility, and (4) synergy. The approach has been applied to four typical towns in China: Pingyao, Lijiang, Kulangsu, and Wuzhen. This computational approach provides a new way to complement existing qualitative measures of understanding the urban form and use of historic towns, providing a powerful tool to support the development of policy affecting historic town design/planning, heritage conservation, and heritage tourism.
keywords Chinese historic towns; spatial properties; space syntax
series CAADRIA
email
last changed 2022/06/07 07:59

_id cf2019_040
id cf2019_040
authors Liao, Yu-Yi and Sheng-Fen Chien
year 2019
title Investigating Audience Satisfaction Base on the Nonverbal Language Analysis of the Audience in Photos
source Ji-Hyun Lee (Eds.) "Hello, Culture!"  [18th International Conference, CAAD Futures 2019, Proceedings / ISBN 978-89-89453-05-5] Daejeon, Korea, pp. 317-330
summary When we want to know satisfaction of audiences in a speech, the questionnaire survey is the most affordable method to collect quantitative data. However, the reliability and validity of the questionnaire is closely related to the design of the questions and the attitude of the respondents. Photos can capture nonverbal behaviors of the audience while listening to a speech. At that time, the audience did not hide their emotions. In this paper, we organize the photos of the three speeches hosted by the NCKU Art Center in 2016 as the data set. We found that the results of the behavioral analysis in photos are similar to the statistical results of the questionnaire. Finally, we made some suggestions for using the photos to analyze the nonverbal behavior of audiences and for establishing a database of nonverbal behaviors.
keywords Speech, nonverbal language analysis, audience satisfaction
series CAAD Futures
email
last changed 2019/07/29 14:15

_id caadria2009_019
id caadria2009_019
authors Liao, Yuan-Yu
year 2009
title Some Phenomena of Analogical Thinking in Design
doi https://doi.org/10.52842/conf.caadria.2009.781
source Proceedings of the 14th International Conference on Computer Aided Architectural Design Research in Asia / Yunlin (Taiwan) 22-25 April 2009, pp. 781-790
summary Analogy has been ascribed a key role in architectural design. Until now, there has been no complete theory describing how the analogical thinking process works in the design domain. Analogical thinking usually relates to freehand sketches and rarely connects to computer media. This research attempts to investigate analogical thinking from the perspective of the conventional media and computer media. Four analogical thinking in design phenomena have been established.
keywords Analogical thinking; sketching; computer media; cognitive experiment
series CAADRIA
email
last changed 2022/06/07 07:59

_id ecaade2008_174
id ecaade2008_174
authors Liapi , Katherine A.
year 2008
title Spatial Information Visualization Methods for Large Scale Infrastructure Projects
doi https://doi.org/10.52842/conf.ecaade.2008.617
source Architecture in Computro [26th eCAADe Conference Proceedings / ISBN 978-0-9541183-7-2] Antwerpen (Belgium) 17-20 September 2008, pp. 617-624
summary For the communication of spatial information with regard to the design and construction of large scale urban infrastructure projects several visualization methods and technologies have been developed. The paper discusses two different trends in relevant technologies: a) those that use visualization to facilitate communication of construction planning information between architects, engineers, contractors, the public and other interested parties, and b) technologies that provide real time information on the conditions on the construction site.
keywords spatial information visualization, real time construction site modeling, construction schedule visualization, motion modeling & vualization
series eCAADe
email
last changed 2022/06/07 07:59

_id 6a70
authors Liapi, Katherine
year 2001
title Transformable Structures: Design Features and Preliminary Investigation
source Journal of Architectural Engineering -- March 2001 -- Volume 7, Issue 1, pp. 13-17
summary Innovative building conceptions, that allow for the change of the building's shape and form, can offer advantages for certain types of applications compared to conventional structures. The conception, design,and realization of transformable building structures require the use of innovative building technologies, and the development of new analytical methods and procedures. Geometric complexity is usually acharacteristic of the architectural expression of transformable structures, and their initial geometric configuration and representation is one of the earliest and most challenging phases in their design. A preliminaryinvestigation with computer simulation and animation studies can help identify problems in their initial geometric conception.
series journal paper
last changed 2003/05/15 21:45

_id 625d
authors Liapi, Katherine A.
year 2001
title Geometric Configuration and Graphical Representation of Spherical Tensegrity Networks
doi https://doi.org/10.52842/conf.acadia.2001.258
source Reinventing the Discourse - How Digital Tools Help Bridge and Transform Research, Education and Practice in Architecture [Proceedings of the Twenty First Annual Conference of the Association for Computer-Aided Design in Architecture / ISBN 1-880250-10-1] Buffalo (New York) 11-14 October 2001, pp. 258-267
summary The term “Tensegrity,” that describes mainly a structural concept, is used in building design to address a class of structures with very promising applications in architecture. Tensegrity structures are characterized by almost no separation between structural configuration and formal or architectural expression (Liapi 2000). In the last two decades structural and mechanical aspects in the design of these structures have been successfully addressed, while their intriguing morphology has inspired several artists and architects. Yet, very few real world applications of the tensegrity concept in architecture have been encountered. The geometric and topological complexity of tensegrity structures that is inherent to their structural and mechanical basis may account for significant difficulties in the study of their form and their limited application in building design. In this paper an efficient method for the generation of the geometry of spherical tensegrity networks is presented. The method is based on the integration of CAD tools with Descriptive Geometry procedures and allows designers to resolve and visualize the complex geometry of such structures.
keywords Tensegrity Networks, Visualization, Geometric Configuration
series ACADIA
email
last changed 2022/06/07 07:59

_id 6cde
authors Liapi, Katherine A.
year 2002
title Transformable Architecture Inspired by the Origami Art: Computer Visualization as a Tool for Form Exploration
doi https://doi.org/10.52842/conf.acadia.2002.381
source Thresholds - Design, Research, Education and Practice, in the Space Between the Physical and the Virtual [Proceedings of the 2002 Annual Conference of the Association for Computer Aided Design In Architecture / ISBN 1-880250-11-X] Pomona (California) 24-27 October 2002, pp. 381-388
summary Membrane packaging has been the main feature of the earliest prototypes of transformablearchitecture. Similar concepts of spatial transformation are encountered in the origami art where aplanar paper surface, after folding, transforms to a 3-dimentional object. The geometric configuration ofcreases on a sheet of paper before folding, as well as the topological properties of 3D origami papermodels, have been recently addressed, and can be used as a guide for the design of new forms.Because membranes in general can be considered surfaces of minimal thickness, principles of theorigami art and math can find applications in the conception and design of transformable membranestructures for architecture. This paper discusses how computer visualization can be used to explorethe potential application of ideas borrowed from the origami art in the conceptual design oftransformable structures. A two-case study that shows how origami math is integrated in the computervisualization of a potential architectural application is included. The same study also shows thatanimated simulations of the transformation process during folding can identify problems in the initialgeometric conception of an origami type structure, and can be used for further morphologicalexplorations.
series ACADIA
last changed 2022/06/07 07:59

_id ecaade2007_166
id ecaade2007_166
authors Liapi, Katherine A.
year 2007
title An Integrative Design and Spatial Visualization System for Cable Strut Self-tensioned Structures
doi https://doi.org/10.52842/conf.ecaade.2007.027
source Predicting the Future [25th eCAADe Conference Proceedings / ISBN 978-0-9541183-6-5] Frankfurt am Main (Germany) 26-29 September 2007, pp. 27-34
summary Novel conceptions of structures consisting of spatial formations of struts and cables present a uniquely defined morphology and structural performance, and offer opportunities for innovative applications in building design. A common feature of these structures is that their spatial geometry is not “a priori” given. This paper is focused on a specific type of cable-strut structure that occurs from the assembly of self tensioned cable-strut modules The spatial configuration of these structures is very complex and necessitated the development of elaborate geometric algorithms that permit the generation of their formal geometry in a virtual 3D environment. To facilitate both the design and the construction of such structures, a spatial visualization system, which integrates a) algorithms for initial form generation, b) geometric parameters that simulate construction stiffening processes, and c) appropriate structural analysis methods, has been developed. The structural organization and parts of this system are presented in this paper. The system renders feasible the exploration of alternate geometries with various levels of pre-stress and displays initial and final configuration of the structure. It also allows for structural analysis data visualization. Examples of projects designed with the assistance of this system are included and discussed.
keywords Cable-strut structures, tensegrity structures, modeling
series eCAADe
email
last changed 2022/06/07 07:59

_id 0995
authors Liapi, Katherine A.
year 2000
title Computer Simulation and Visualization of Geometrically Changing Structures
doi https://doi.org/10.52842/conf.acadia.2000.267
source Eternity, Infinity and Virtuality in Architecture [Proceedings of the 22nd Annual Conference of the Association for Computer-Aided Design in Architecture / 1-880250-09-8] Washington D.C. 19-22 October 2000, pp. 267-271
summary The design of building structures that change shape and form to adapt to different functions or weather conditions requires the application of innovative building technologies, as well as the invention of a new architectural morphology. This morphology is directly related to the kinematic conception of the structure. A computer simulation of the motion of the structure and the display of the structure as an animation of moving parts can identify problems in its initial geometric and kinematic conception. It can also assess the effect of the changing geometry of the structure on space definition, building morphology, and functionality.
series ACADIA
last changed 2022/06/07 07:59

_id ijac20032207
id ijac20032207
authors Liapi, Katherine A.; Kim, Jinman
year 2004
title A Parametric Approach to the Design of Vaulted Tensegrity Networks
source International Journal of Architectural Computing vol. 2 - no. 2
summary Significant new research in tensegrity theory and technology encourages tensegrity’s implementation in architecture. A recently developed technology makes possible the rapid modular assembly of deployable tensegrity units, and the construction of alternate curved configurations by re-using the same modules. Although a form exploration method for tensegrity structures already exists, estimating the structure’s new geometry remains a challenge due to difficulties designers encounter in understanding and following the method’s geometric construction process. Besides, the method doesn’t address the geometry of vaulted configurations. This paper presents algorithms that link together the geometric parameters that determine the shape of tensegrity vaults by addressing different design-construction scenarios, and a software code that generates parametric models of tensegrity vaulted structures.The application of the algorithms to the morphological study of a tensegrity vaulted dome, which constituted the main feature of an entry to arecent international architectural competition, is also presented.
series other
type normal paper
more http://www.multi-science.co.uk/ijac.htm
last changed 2010/05/16 09:13

_id ecaade2021_138
id ecaade2021_138
authors Liapi, Katherine and Liosi, Dimitra
year 2021
title An Immersive Modular Museum-Archive Concept Model - An integration of shape grammars with virtual reality
doi https://doi.org/10.52842/conf.ecaade.2021.2.323
source Stojakovic, V and Tepavcevic, B (eds.), Towards a new, configurable architecture - Proceedings of the 39th eCAADe Conference - Volume 2, University of Novi Sad, Novi Sad, Serbia, 8-10 September 2021, pp. 323-332
summary The paper presents a concept model of a modular exhibition that is designed to function as a museum in the physical environment and as an archive of architectural projects in the virtual. A design method based on shape grammars and inspired by the Bauhaus teaching, has been used to generate both the museum spaces and the archive which expands endlessly as the acquisition of architectural exhibits keeps increasing. Specifically, rules that control the geometric organization, tectonic expression and linear or radial expansion of a modular assembly of interlocking physical or virtual spaces, leading to various self-similar spatial patterns, have been developed. Several scenarios of the visitors' interaction with the exhibits and the museum's space with the use of VR and AR have been explored. In the actual museum scenario, physically present visitors can interact with the exhibits which are enriched with digital information. In the case of the archive, the Unity platform is used for the development of a virtual experience of the visitor who interacts with the expanding space and exhibits in a purely immersive manner.
keywords virtual reality, augmented reality, shape grammars, golden ration, modular museum, archive, Bauhaus teaching
series eCAADe
email
last changed 2022/06/07 07:59

_id ecaade2018_414
id ecaade2018_414
authors Liapi, Katherine and Papantoniou, Andreana
year 2018
title Square Tessellation Patterns on Double Layer Minimal Surface Structures - Geometric Investigation and Design Algorithms
doi https://doi.org/10.52842/conf.ecaade.2018.2.385
source Kepczynska-Walczak, A, Bialkowski, S (eds.), Computing for a better tomorrow - Proceedings of the 36th eCAADe Conference - Volume 2, Lodz University of Technology, Lodz, Poland, 19-21 September 2018, pp. 385-390
summary Minimal surfaces, defined as surfaces of the smallest area spanned by a given boundary present advantages for architectural applications in terms of their structural and material performance. Therefore, the investigation of their properties including their geometric ones deserve special attention. In this regard, methods for tessellating minimal surfaces need to be studied. In this paper, patterns that consist of four squares with partly overlapping sides have been considered. A constrain in this study was the square tiles maintained their planarity. Three different types of surfaces have been considered, namely the helicoid, catenoid and Enneper's surface. Design algorithms that generate tiling patterns in all three minimal surface types have been developed and are presented in the paper. The geometric investigation of the application of the developed methods to double layer structures has also been examined and discussed in the paper. Finally, the accuracy of the developed algorithms has been tested through the construction of a physical model.
keywords minimal surfaces; double layer; square tessellation
series eCAADe
email
last changed 2022/06/07 07:59

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