The Caterpillar Gallery: Quadratic Surface Theorems, Parametric Design and Digital Fabrication

Narváez-Rodríguez, Roberto; Martín-Pastor, Andrés; Aguilar-Alejandre, María

doi:10.1007/978-3-319-11418-7_20

Cited by 8 publications

(2 citation statements)

References 4 publications

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“…The application of this type of reciprocal structures on developable surfaces and their adaptation to complex double-curvature forms is explained in the Ph.D. Thesis of Francisco González-Quintial (González 2016). Also interesting is the use of wood sheets and plywood boards either through the structural concept of active form, as presented in the work of Nabaei et al (2017) or though constructions that take advantage of the potential of the geometric curvature itself without introducing overstresses, as (Narváez-Rodríguez et al 2015). Planar reciprocal structures avoid the complex connections that are generated between the bars organized in reciprocal patterns where solutions of difficult stereotomy appear, although this aspect is minimized with the use of processes of digital manufacture.…”

Section: Discussionmentioning

confidence: 99%

Laminar Constructions and Reciprocal Structures

2017

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Reciprocal structures are constructed by using a wide variety of patterns. These designs are a good source of inspiration when working with laminar constructions (sheets). Using the same formal schemes, laminar constructions feature better bending of their elements along the shape of the model and the application of extra pressure on the connection joints. Many of the geometric constructions made at the University of the Basque Country and presented in this paper show structural, constructive and formal improvements in many reciprocal structures assembled using sheets instead of linear elements. Keywords Reciprocal frame structures Á Leonardo grids Á Laminar constructions Á Complex shapes Á Developable surfaces Reciprocal Structures Although reciprocal structures have probably been known since antiquity, the first detailed sketches are found in the folio 899v of Leonardo da Vinci's Codex Atlanticus (Williams 2008). In recent years the scientific community has begun to consider these structures as something more than a historical curiosity. Some scholars attribute to Villard de Honnecourt the first drawing of a reciprocal

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Section: Discussionmentioning

confidence: 99%

Laminar Constructions and Reciprocal Structures

2017

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“…All the pavilions share the same constructive system exhibited in Narvaez-Rodriguez et al (2014). First, the machined parts are assembled on the floor with the help of overlaps fixed with screws, forming each of the large wooden modules.…”

Section: Geometry Ideation and Digital Constructed Materialitymentioning

confidence: 99%

Augmented Graphic Thinking in Geometry. Developable Architectural Surfaces in Experimental Pavilions

Martín-Pastor

2018

Graphic Imprints

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We will analyze how the incorporation of digital manufacturing in our schools is motivating a deep reflection about the need to be familiar with both the foundations of geometry as well as with more advanced knowledge. The reinterpretation of our inherited graphic design discipline in light of current digital tools can open up new fields of study and work, such as is occurring in the field of developable surfaces, warped surfaces and many others. In addition, through non-linear graphic processes and digital tools of parametric design, we can arrive at an "expanded graphic thinking" that we can place at the service of production and morphological research. Thus, the old descriptive geometry -geometry based on graphics -comes to serve a cybernetically enlarged mind.We will present four experimental pavilions resulting from several workshops on geometry and digital manufacturing carried out in collaboration between the University of Seville and several Ibero-American Universities. Based on the deep geometric knowledge of developable helical surfaces and surfaces of equal slope, a guided exercise is proposed to approach the design, manufacturing and assembly phases of these architectural installations on a real scale.

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Developable Wooden Surfaces for Lightweight Architecture: Bio-Dune Pavilion

Martín-Pastor

García-Alvarado

2019

Lecture Notes in Civil Engineering

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Within the broad context of teaching and research, the results of a project involving a pavilion based on developable wooden surfaces, parametric design, and digital fabrication are presented through the collaboration of Ibero-American universities. The project addresses applications of wood to architecture that involves the CNC cutting of plates, thanks to the properties of developable surfaces. The in-depth knowledge of the geometrical properties of these surfaces opens up a wide range of morphological exploration and new constructive solutions. The proposed system provides a creative response to the criteria of limited material resources (a thin sheet of material) and low production and assembly costs as an analogy with natural construction. This high-tech and low-cost system, together with the Bio-mimetic design, offers an ecocompatible proposal to the three processes under study: design, manufacture, and assembly.

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The Caterpillar Gallery: Quadratic Surface Theorems, Parametric Design and Digital Fabrication

Cited by 8 publications

References 4 publications

Laminar Constructions and Reciprocal Structures

Laminar Constructions and Reciprocal Structures

Augmented Graphic Thinking in Geometry. Developable Architectural Surfaces in Experimental Pavilions

Developable Wooden Surfaces for Lightweight Architecture: Bio-Dune Pavilion

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