Modelos de brotes arbustivos o algas en arquitecturaO cómo replicar un vegetal mediante la Agregación Limitada por Difusión (DLA)

  1. Salvador Serrano Salazar
  2. José Carrasco Hortal 1
  3. Francesc Josep Morales Menárguez
  1. 1 Universitat d'Alacant
    info

    Universitat d'Alacant

    Alicante, España

    ROR https://ror.org/05t8bcz72

Journal:
[i2] : Investigación e Innovación en Arquitectura y Territorio

ISSN: 2341-0515

Year of publication: 2017

Volume: 5

Issue: 1

Type: Article

DOI: 10.14198/I2.2017.5.01 DIALNET GOOGLE SCHOLAR lock_openRUA editor

More publications in: [i2] : Investigación e Innovación en Arquitectura y Territorio

Abstract

This article discusses the development of a design method for branched structures with seaweed-like or shrub-like forms based on diffusion-limited aggregation (DLA) to define its geometry. DLA has been used to reproduce convincing or credible growth rules from what has been learned from programmable displays such as NetLogo (Wilenski 1999). In particular, the tools that reproduce the simulation learned from NetLogo are the Grasshopper software to generate the geometry, the Exoskeleton plug-in to get surrounding surfaces to these wireframe structures, and the Weaverbird plug-in to smooth transitions between mesh faces. This last tool allows smoothing the mesh by iterations that increase or not the number of faces, which allows to understand some theories about smooth transitions in forks of natural structures (Mattheck 1990). This article also serves to reflect on how kinetic-physical models based on mechanics inspired by Artificial Intelligence help to share methods of analysis with other disciplines such as cybernetics or fluid dynamics or the social and environmental sciences. Why can this happen? Because of the rigor in language that all the time tries to refer to populations of individuals, to life cycles, to multi-variable systems, to reciprocity rules or to pacts with near particles.

Bibliographic References

  • ANASTACIO, Fabricio; SOUSA, Mario C.; SAMAVATI, Faramarz; JORGE, Joaquim A. “Modeling plant structures using concept sketches". En: Proceedings of the 3rd international symposium on Non-photorealistic animation and rendering - NPAR 06.
  • BOURKE, Paul. “Constrained Diffusion Limited Aggregation in 3 Dimensions". Computer and Graphics. 2006, vol 30, núm. 4, p. 646-649.
  • BUELOW, P. “A Geometric Comparison of Branching Structures in Tension and in Compression versus Minimal Paths”. 2007.
  • BUSCH, Benjamin; LADURNER, Georg; BAHARLOU, Ehsan; MENGES, Achim. “Adaptive Structure: A Modular System for Generative Architecture”. En: GA2011 – XIV Generative Art Conference.
  • CARPO, Mario. "La desaparición de los idénticos. La estandarización arquitectónica en la era de la reproductibilidad digital". En: ORTEGA, L. (ed.) La digitalización toma el mando. Barcelona: Gustavo Gili, 2009. p. 59-66.
  • Catmull–Clark subdivision surface, 2016. En.wikipedia.org [online]. Recuperado de https://en.wikipedia.org/wiki/Catmull-Clark_subdivision_surface
  • CATMULL, Edwin; CLARK, Jim. "Recursively generated B-spline surfaces on arbitrary topological meshes". Computer-Aided Design. 1978, vol 10, núm 6, p. 350-355.
  • Exoskeleton, 2014, D. Piker y D.Stasiuk.
  • FALK, A., BUELOW, P.V. “Combined timber plate and branching column systems–variations and development of system interaction”. In: Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium. 2009. Valencia.
  • FRAZER, John. "Un modelo natural para la arquitectura. La naturaleza del modelo evolutivo". En: ORTEGA, L. (ed.) La digitalización toma el mando. Barcelona: Gustavo Gili, 2009. p. 29-38.
  • FROMM, Jochen. The Emergence of Complexity. Kassel: Kassel Univ. Press, 2004. ISBN: 3-89958-069-9 NERDINGER, Winfried “Frei Otto. Complete Works” Birkhauser, 2005.
  • GAWELL, Ewelina. “Non-Euclidean Geometry in the Modelling of Contemporary Architectural Forms". The Journal of Polish Society for Geometry and Engineering Graphics. 2013, vol 24, p. 35-43.
  • GODIN, Christophe; COSTES, Evelyne; SINOQUET, Hervé. “A Method for Describing Plant Architecture which Integrates Topology and Geometry". Annals of Botany. 1999, vol 84, núm. 3, p. 343-357.
  • GODIN, Christophe. "Representing and encoding plant architecture: A review". Annals of Forest Science. 2000, vol 57, núm. 5, p. 413-438.
  • GORDON J.E. “The Science of Structures and Materials”. Scientific American Library, 1988. Pp 161-174.
  • Grasshopper 3D, 2014, Robert McNeel & Associates.
  • HERMANN, Leonard R. "Laplacian-isoparametric grid generation scheme". Journal of the Engineering Mechanics Division. 1976, vol 105, núm. 5, p. 749-756.
  • HOLLAND, John H. Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control and Artificial Intelligence. Cambridge: MIT Press, 1992. ISBN:0262082136
  • JENCKS, Charles. The Architecture of the Jumping Universe: A Polemic: How Complexity Science is Changing Architecture and Culture. London: Academy Editions, 1997. ISBN: 0-471-97748-9
  • Laplacian smoothing, 2016. En.wikipedia.org [online]. Recuperado de https://en.wikipedia.org/wiki/Laplacian_smoothing
  • MATTHECK, Claus. "Engineering components grow like trees". Mat.-wiss. u. Werkstofftech. 1990, vol 21, núm 4, p. 143-168.
  • MAYORAL, Eduardo. Arquitecturas biosintéticas: la acción arquitectónica a través de la ingeniería de lo vivo y lo no-vivo. Lucena: Recolectores Urbanos, 2015. ISBN: 8494168428
  • NERDINGER, Winfried. Frei Otto, complete works: lightweight construction natural design. Basel: Birkhäuser, 2005. ISBN: 3764372311
  • NetLogo, 1999, Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL. : U. Wilensky.
  • NetLogo DLA Alternate Linear model, 2005, Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL. : U. Wilensky.
  • NetLogo DLA Alternate model, 2005, Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL. : U. Wilensky.
  • NetLogo DLA model, 1997, Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL. : U. Wilensky.
  • NEUBERT, Boris; FRANKEN, Thomas; DEUSSEN, Oliver. “Approximate image-based tree-modeling using particle flows". ACM SIGGRAPH 2007 papers on - SIGGRAPH 07. 2007, vol 26, núm. 3.
  • NICOLOV POPOV, Nicolay. “How can NetLogo be used in the landscape architectural design process?” Master of Landscape Architecture, Unitec New Zealand, 2007.
  • OKABE, Makoto; OWADA, Shigeru; IGARASHI, Takeo. “Interactive Design of Botanical Trees using Freehand Sketches and Example-based Editing". Computer Graphics Forum. 2005, vol 24, núm. 3, p. 487-496.
  • OTTO, Frei, RASCH, Bodo “Finding form”, Axel Menges 1995. P157-166.
  • PASK, Gordon. " La significación arquitectónica de la cibernética". En: ORTEGA, L. (ed.) La digitalización toma el mando. Barcelona: Gustavo Gili, 2009. p. 15-28.
  • PRUSINKIEWICZ, Przemyslaw; LINDEMAYER, Aristid. The algorithmic beauty of plants. New York: Springer, 1990. 228 p. ISBN 978-1-4613-8476-2
  • QUAN, Long; TAN, Ping; ZENG, Gang; YUAN, Lu; WANG, Jingdong; KANG, Sing Bing. “Image-based plant modeling“. ACM Trans.on Graphics (SIGGRAPH). 2006. vol 25, núm. 3, p. 772–778.
  • RASPALL, Felix; BAÑÓN, Carlos. “vMESH : How to print Architecture?”. En: SIGraDi 2016, XX Congreso de la Sociedad Ibero-americana de Gráfica Digital. (Buenos Aires 9-11 de noviembre de 2016).
  • Rhinoceros 3D, 2012, Robert McNeel & Associates.
  • RIAN, Iasef M.; SASSONE, Mario. “Tree-inspired dendriforms and fractal-like branching structures in architecture: A brief historical overview". Frontiers of Architectural Research. 2014, vol 3, núm. 3, p. 298-323.
  • RIAN, Iasef Md; SASSONE, Mario. “Tree-inspired dendriforms and fractal-like branching structures in architecture: A brief historical overview” Frontiers of Architectural Research, 2014. Vol 3, issue 3, pp 298-323.
  • SRINIVASAN, Vinod; MANDAL, Esan; AKLEMAN, Ergun. "Solidifying Wireframes".En: Proceedings of the 2004 bridges conference on mathematical connections in art, music, and science. Weaverbird, 2012, G. Piacentino.
  • TURCOTTE, Donald L.; PELLETIER, Jon D.; NEWMAN, William I. “Networks with Side Branching in Biology". Journal of Theoretical Biology. 1998, vol 193, núm. 4, p. 577-592.
  • VON BUELOW, Peter. “A Geometric Comparison of Branching Structures in Tension and Compression versus Minimal Paths”. En: Proceeding of IASS 2007. (Venecia 3-6 de diciembre de 2007).
  • WITTEN, Thomas A.; SANDER, Leonard M. "Diffusion-limited aggregation". Physical Review B. 1983, vol 27, núm 9, p. 5686-5697.
  • YAN, Hong-Ping; KANG, Meng Zhen; DE REFFYE, Philippe; DINGKUHN, Michael. “A Dynamic, Architectural Plant Model Simulating Resource-dependent Growth". Annals of Botany. 2004, vol 93, núm. 5, p. 591-602.