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Author: Omar Eduardo Cañete Islas

Universidad de Valparaíso, UV

ocanetei00@yahoo.es

Valparaíso, Chile

 

Teaching Experience in Architecture based on Morphological Modeling According to Algorithmic-Procedimental Criteria

 

Abstract

Next, principles of study and modeling of irregular and complex forms, associated with processes of scalar vector fragmentation are presented. This allows to encompass, within the paradigm of pure forms, typical of modern and contemporary art and architecture, from the smallest grain, to the most holistic landscape and landscape, as a unit of continuous study, allowing to identify not only individual units or even modular design, but in relation to the modeling of frames, gradients, texture formation and wider morphological tissues. This type of approach is presented as the basis of a working model with architectural students (M-MAA) in the morphological-procedural study, which includes criteria and typically architectural variables, such as the hierarchy of volumes, spatiality, circulation, the structuring in levels, views, cuts, relationships of interiority, exteriority and spatial mixture, together with criteria of functional-design ordering, constituting a model of pre-architectural morphological work.

 

             Keywords: creativity; design; architecture.

 

Date Received: 09-02-2018

Date Acceptance: 22-06-2018

 

 

Ensamble Organum: Experiencia Docente en Arquitectura basada en Modelaciones Morfológicas según Criterios Algorítmico-Procedimentales

 

Resumen

A continuación, se sistematiza y presenta una experiencia pedagógica en base a la modelación de formas irregulares, asociadas a procesos de fragmentación vectorial escalar. Esto permite, dentro del paradigma de las formas puras, propio de la arquitectura moderna, trabajar de modo continuo, estructuras morfológicas disimiles que abarcan desde líneas vectoriales abiertas y/o cerradas, módulos poliédricos, ensambles, gradientes, texturas y tramas morfológicas de landscape, junto a los diversos cambios de escala y magnitud entre formas. Este tipo de enfoque se presenta como la base de un modelo de trabajo con alumnos de arquitectura (M-MAA) en el estudio morfológico-procedimental, donde se incluye criterios y variables típicamente arquitecturales, tales como la jerarquía de volúmenes, la espacialidad, la circulación, la estructuración en niveles, vistas, cortes, relaciones de interioridad, exterioridad y mixtura espacial, junto a criterios de ordenamiento funcional-proyectual, constituyendo un modelo de trabajo morfológico pre-arquitectural.

 

Palabras clave: creatividad; diseño; arquitectura.

 

Fecha de Recepción: 09-02-2018

Fecha de Aceptación: 22-06-2018

 

“I do not know who said that novelists read others' novels just to find out how they are written. I think it s true. We do not settle for the secrets exposed on the front of the page, but turn it upside down, to decipher the seams”

(Gabriel García Márquez, 2012, p.10)

 

1. Introduction

             From the year 2000 to the present, to date, within the framework of the chair of Fractal Geometry first and since 2015 in the field of morphologies, morphological exploration has been considered as an area of ​​relative autonomy in modeling and architectural creative processes . This has allowed to explore together with the students various lines of morphological modeling, ranging from the general approach of the so-called pure forms in art and architecture, confronting and enriching this true paradigm of the form in modern architecture, with the approach of the forms irregular, secondary to the study of transformation processes or interactive dynamics that operate scalarly, coming from contemporary morphologies (Cañete, 2014a, 2016a, 2017a). This has allowed the progressive assimilation of geometries and forms that emerge from the study of other disciplines that in the last years has derived in the so-called parametric design applied from the CAD and CAM systems (Schumacher, 2008a), oriented to the control in the design, of each operation on the set at any time of a transformation, in a minimalist and interactive way at the same time. (Cañete and López, 2015a, 2016a).

 

In this context, a review and systematization of teaching work based on these principles is presented at the School of Architecture of the University of Valparaíso, Chile.

 

2. Theoretical framework

2.1. Morphological Exploration and Parametric Design

The current scenario of modeling allows to cover diverse methodologies of work and representation, appealing to diverse geometries highlighting, for the architectural design, the modular assemblies, the languages ​​and computational metalanguages ​​that operate on the basis of functions and algorithms, has derived in the consequent autonomization of morphology as a proper field of inquiry and exploration. Thus, contemporary morphological modeling, performed in software such as Rhino 3D, Grasshoper, Matlab, SolidWorks, in addition to the classic CAD systems, offers us a number of operational distinctions associated with the form, becoming more ductile and intuitive in terms of its modeling and work interface (Cañete, 2014b, 2017b, Cañete, Bahamondes, Correa and López, 2012a, Cañete, Correa and López, 2016a).

 

It is important to highlight that these developments open a reflection to the problem of the assimilation of forms from an architectural perspective, marked by the notion of algorithm and operation, as well as its teaching. We must consider that since modernity, both in architecture and as an important part of art, it has been expressed through a minimalist approach, an approach that invites us to appreciate the importance of each formal action in its essential ways of operating and interacting (and not only as a mental or aesthetic contraption). Moreover, it generates a direct field of dialogue between art and science, especially through the problem of form and its modeling. This approach during the twentieth century, progressively leads to a linguistic-generative approach that disciplinary seeks to investigate the architectural effects of these distinctions, their combinatorias and their potential applications (Mandelbrot, 2000, Lyndenmayer, 2000, Cañete, 2014c, 2016b, 2017c López, 2016a, Cañete and López, 2015b).

 

2.2. The New Morphological Object and the Parametric Design

             The state of the state of art described, acquires greater relevance, if we consider the wide diversity of new morphological properties and development of digital languages, which open the range of possibilities if we consider the complex geometries and morphologies (such as fractals) that in addition to the features ideals of natural arithmetic, Euclidean geometry or even the first Baroque notions (strong centers, equidistance, symmetry, equilibrium, rhythm, alternation, succession, tension, limits and leakage, etc.) encompass new notions such as the language of patterns, conformations open and irregular, the centers and multiple planes, groupings, growths, non-linear trajectories, iteration of functions, signal amplification or distortion, ruptures and fractions, network formation, plots, folds, landscape and textural landscapes and transformation mechanisms, interaction, variation and hybridization to scale, to name just a few s, but which require, in parallel, an architectural-projective look that gives an account and gives us clues, of its constant assimilation and understanding, through new conceptual, aesthetic and operational supports for such purposes. It is worth noting the generative tension that occurs between these new complex forms and the predominant paradigm to date of the pure forms, inherited from modern architecture, and that speaks to us of the necessity and disciplinary validity of the debate and reflection on this, what guarantees a kind of "new encounter" (objet trouvé) with the theme of the form (Oyarzún, 2000, Cañete, 2017d). Moreover, if we consider the contributions of digital languages, which have progressively introduced a greater variety of formal operations in digital modeling as in operational flexibility, in the so-called parametric design (Draves and Rackase, 2008; Schumacher, 2008b). This type of design feedback is currently called discriminative parametric design (López, 2016b), which appeals to the use of algorithms through an operational confluence of various operations and geometries.

 

3. Record

Given the above, the author has worked on a model that summarizes the following points, a model of morphological exploration, -oriented to the teaching field, which can be summarized in the following principles:

a.    Linear Order and Order of Complexity: The study of complex forms has broadened the field from which the notion of order was understood, from a static conception to a changing and generative perspective. Generator of new irregular morphological configurations.

 

b.    Fractal morphology: This dimension will be modeled by techniques of vectorization of images as the use of iterated languages, resulting in pure lines that branch, twist and scale in morphological units, maintaining a global compositional consistency from the same essential minimalist stroke.

 

c.    The study of frames and textures as transitional forms in morphological transformation: The fractal lines, which generate frames through the transformation to scale, allow the modeling of growth or fragmentation processes, based on continuous interactions between regular and irregular frames, varying and alternating spaces of greater or lesser interiority or exteriority. The set of this evolution, can be identified as a way of landscape vector.

 

3.1. Morphological Experiences of Procedural Modeling

The study of this type of morphologies, appears as the general framework for the development of teaching and learning strategies in creative ways in relation to the problem of the assimilation of the form from a pedagogical framework of architectural teaching, which has been addressed by the author, both in teaching and in successive visual arts projects funded by FONDART Regional Visual Arts (Cañete and Bahamondes, 2011, Cañete, Bahamondes, Correa and López, 2012b, Cañete, Correa and López, 2016b; Cañete and López, 2015c, 2016b). From these experiences and scope of digital morphological exploration was derived in the following principles of work:

a.    A general approach of the minimalist type.

 

b.    A general approach to the minimalist type. A generative-transformational approach.

 

c.    A creative process that ranges from the notions of module and assembly to the notions of landscape and digital landscape.

 

             On the other hand, from the pedagogical point of view, the aim is to encourage in the student, the exploration and individual expression, suggested from the own exploration of modeled forms. This allows us to distinguish levels of morphological-operational complexity on the one hand and levels of aesthetic-architectural assimilation explored on the other hand, intentionally oriented morphological-spatial models, either towards; a). a pre-project and / or, and good sense; b). a morphological-aesthetic sense related to the previous point.

 

Table 1. Levels of Morphological Modeling Integration

SEE IN THE ORIGINAL VERSION

Source: The Author (2018).

 

4. Methodology

The above, has derived in the following model and general methodology of work, using, diverse materials, in diverse experiences and commissions since 2015, called: Generative Minimalism, whose formal Principles are associated to the procedural mechanisms (operative-algorithmic) of growth and modular scalar fragmentation. In this framework, a work model for morphological modeling is proposed, with the following general characteristics:

 

4.1. Modeling Modeling Architectural Algorithmic Model

The following complex exploration model, can be summarized in three axes, Morphological, Algorithmic (procedural) and Architectural, and that we can simply abbreviate as MAA:

a). Morphological Complexity of the Plot: This complexity goes from:

a.   Individual Module Level or Grain.

b.  Fabric, weft or landscape level.

 

b).  Level of Algorithmic Complexity: Spatial-morphological operations, such as: full, empty, extrusions, circulations. These present two algorithmic levels:

a.   Joint operations.

b.  Local operations that affect particular modules or sectors.

 

c).  Level of Architectural Complexity: A continuum of two formal poles:

a.   pre-project sense.

b.  morphological and spatial sense, as an aesthetic expression (includes approximations such as installations or formal interventions).

 

The above allows differentiating different possibilities and levels of exploration, as autonomous fields and / or in relation. Next, we will review assignments and work sub-areas, associated with different types of assignments, of the first type, which we have called Pre-design sense, which was organized in successive commissions of greater complexity not only formal, but especially levels of pre-project complexity, understanding this architectural dimension, as the search for specific relationships, such as:

 

a. Series of commissions First Level of Pre-Architectural Complexity: Contemplate to work variables such as: a). empty and architectural space; b) Circulation, route and promenade; c) Hierarchy and spatial relationship between volumes.

 

b. Series of commissions Second Level of Pre-Architectural Complexity: Contemplates, in addition to the previous relationships, include variables such as: a). Levels and accesses; b) Sub-units (morphological pieces) and laces or modular assemblies between levels.

 

These levels of pre-architectural complexity were worked on in various types of specific morphological explorations, such as:

 

a. Design based on growth and fragmentation of modular frames.

 

b. Deconstruction of volumes and modular (des) -assemblies.

 

The above is summarized in the following scheme:

Table 2. Work model, according to type and complexity of design.

TYPES OF MORPHO-SPATIAL MODELING

COMPLEXITY LEVEL

PRE - ARCHITECTURAL

 

Morphological modeling based on non-linear equations and vectorized frames and iteration of functions

Spatial design based on growth and fragmentation of modular frames

LEVEL 1: Includes Variables such as:

a). Empty and architectural space,

b) Circulation, route and promenade.

c). Hierarchy and spatial relationship between volumes

 

LEVEL 2: It also includes variables such as:

a). Levels and accesses,

b) Sub-units (morphological pieces)

c) lace or modular assemblies between levels.

Spatial design based on deconstruction of volumes and modular assemblies

Source: The Author (2018).

 

5. Results

The following is a series of study models and areas of morphological exploration and works, obtained during these years:

a.  Design based on growth and fragmentation of modular plots: Given the feasibility of working with patterns and modules, related to the formation of vectorized plots, one of the first areas of exploration was modeling through the search for volumetric extrusions and conformation of spaces, based on growth processes and modular fragmentation at different scales.

 

This sequence of morphological fragmentation allows us to pass, in a same series of transformation, levels of formal complexity that go from the module or even irregular grain and its primary adjacent relations (opening, closing and minimum forms of distance and circulation) to the plane dela formation of wefts or fabrics (gradients, contrasts, interstices, textures, etc.), and even more, true landscape or minimalist landscapes, more complex, and of greater potential and scalar variation. Indeed, the relationship between the resulting form and the set of generative operations, is given by the search for an economy principle, that is, thought from the set of minimum operations for such a global purpose.

 

In parallel they were asked to work with the digital design of the obtained morphological explorations, generating views, elevations and cuts.

 

So, first we proceeded to the students review the image and project qualities according to the chosen and observed plot.

 

Subsequently, students begin to work cutting and accommodating the requested qualities in a more precise spatiality and volumetry, including cuts and views.

 

Continuing with the experience of modeling mediated by morphological explorations, a morphology generation software based on L-SYSTEM was used, with which various images of geometric configurations were achieved, based on the iteration of patterns. Here are several of these images achieved, with which, students were asked to devise a spatial model, following the criteria of search for spaces, circulations, volumes and levels, obtaining various studies and possible ways to satisfy these requirements. Together, they were asked to have the levels conceived have three sub-levels, so they could decompose the figure into plants, in order to better work the relationships between circulations, volumes and voids that would connect them in a whole. Of these three levels, two would be under surface, and one above surface. The two lower levels, would be framed in a quadrangular frame of black interior, in order to see and appreciate better the fall of light from the first level to the deepest. In this observation box, they were asked to make one or two incisions covered with a lid, in order to look through them the model and make observations of the interior model. They were allowed to make minor modifications, in part of the traces, in case of requiring it according to the spatial model in development.

 

Image 1. Models made by students based on modeling in L-SYSTEM, made in pen and cardboard.

SEE IN THE ORIGINAL VERSION

Source: Form Module, Architecture Workshop (2017).

 

b. Volumetric deconstruction and modular (des) -assembly: A second field of study that emerges, following these morphological models, is the assembly and disassembly in parts of the models. This also allows the study of parts and fragments, which may be susceptible to cutting in CNC cutters and routers.

 

Image 2. MAA work model, based on vector operations of modular growth and fragmentation at various scales, and volumetric extrusion operations, search for architectural spaces, assembly and modular disassembly.

SEE IN THE ORIGINAL VERSION

Source: Form Module, Architecture Workshop (2017).

 

6. Conclusions

The study of the form in the architecture, has acquired more and more preponderance and autonomy in the modeling, reason why it requires theoretical-pedagogical models of exploration, based or oriented in architectural criteria.

 

The explicitation of such criteria, in turn, opens exploration sub-fields, which in our case, we have systematized over the last years, in relation to teaching and in the visual arts, carried out in the School of Architecture , from the University of Valparaíso.

 

7. References

Cañete, O. (2014a,b,c). Arquitectura, Complejidad y Morfogénesis. Valparaíso, Chile: Universidad de Valparaíso.

 

Cañete, O. (2017a,b,c,d). De tramas, fragmentos y paisajes Digitales: morfogénesis y prototipos pre-arquitecturales. Revisión de una propuesta en progreso. ACADEMIA XXII, 8(15), 37-69, E-ISSN:  2594-083X. Recuperado de: http://dx.doi.org/10.22201/fa.2007252Xp.2017.15.60415

 

Cañete, O. (2016a,b). Exploraciones morfológicas en texturas modulares. Aproximaciones desde el objet trouvé al diseño paramétrico. Revista de Arquitectura, 18(1), 76-97, ISSN: 1657-0308, E-ISSN: 2357-626X. Recuperado de: http://dx.doi.org/10.14718/RevArq.2016.18.1.8

 

Cañete, O., & López, F. (2016a,b). Desarrollos de modelos para vivienda modular en base a estandarización de prototipos fabricados. Análisis de una experiencia constructiva con módulo incremental. revista pensum, 2(2), 127-144, ISSN: 2469-0724. Recuperado de: https://revistas.unc.edu.ar/index.php/pensu/article/view/16517

 

Cañete, O., (Editor), Correa, A., & López, F. (2016a,b). Bitácoras Morfológicas. Proyecto FONDART de Artes Visuales. Valparaíso, Chile: GARIN.

 

Cañete, O., & López, F. (2015a,b,c). El Domo generativo: Modelación Morfológica y diseño paramétrico. Base del estudio de ensambles modulares en la fabricación de prototipos para sistemas CAD-CAN. Módulo Arquitectu­ra CUC, 15(2), 105-132, ISSN: 2389-7732. Recuperado de: http://revistascientificas.cuc.edu.co/index.php/moduloarquitecturacuc/article/view/737/556

 

Cañete, O., (Editor), & Bahamondes, C. (2011). Computación y Arte Visual Gráfico. Proyecto FONDART de Artes Visuales. Valparaíso, Chile: GARIN.

 

Cañete, O., (Editor), Bahamondes, C., Correa, A., & López, F. (2012a,b). Exploraciones Morfológicas. Proyecto FONDART de Artes Visuales. Valparaíso, Chile: GARIN.

 

Draves, S., & Reckase, E. (2008). The Fractal Flame Algorithm. EE.UU.: CiteSeerX, The Pennsylvania State University. Recuperado de: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.694.1601

 

Gabriel García Márquez (2012). Mi Hemingway Personal. Hemingway, Ernest, Cuentos. Madrid, España: Lumen.

 

López, F. (2016a,b,). Paisaje natural y paisaje virtual. Notas y aplicaciones sobre mapeo tridimensional, entramados geométricos y fabricación modular CAD-CAM. Citado en Cañete, Correa y López (2016). Bitácoras Morfológicas. Proyecto FONDART de Artes Visuales. Valparaíso, Chile: GARIN.

 

Lyndenmayer, A. (2000). The Beauty algorithm of Plants. Berlin, Germany: Springer-Verlag.

 

Mandelbrot, B. (2000). Los Objetos Fractales. Madrid, España: TUSQUETS.

 

Oyarzún, P. (2000). Anestética del Ready-made. Santiago, Chile: LOM.

 

Schumacher, P. (2008a,b). Parametricism as Style - Parametricist Manifesto. Venice, Italy: Presented and discussed at the Dark Side Club, 11th Architecture Biennale. Recuperado de: http://www.patrikschumacher.com/Texts/Parametricism%20as%20Style.htm

 

 

Omar Eduardo Cañete Islas

e-mail: ocanetei00@yahoo.es

 

Born in Chile Professor at the School of Architecture, Universidad de Valparaíso, Chile; Master in Social Psychology; Professor of Architecture career since 2000 to date. Works on themes of form, territory and city, as well as creative processes. Various articles in specialty indexed journals.

 

The content of this manuscript is disseminated under a Creative Commons License Attribution-NonCommercial-ShareAlike 4.0 International

 

- Original Version in Spanish -

DOI: https://doi.org/10.29394/Scientific.issn.2542-2987.2018.3.9.9.174-189