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

Abstract

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.

Wooden Structures within the Context of Parametric Design: Pavilions and Seatings in Urban Landscape

“…(a-c) Catenoid form, inside\out research pavilion at the central campus of the TUM, Munich [17] a b c Figure 8. (a and b) Helicoidal surfaces, butterfly gallery, Universidade Federal do Rio de Janeiro, Brazil, 4-14 August, 2015, Andrés Martín-Pastor, Juan Expósito Bejarano [18] a b the material and benefiting from these features in the design process. • Materiality is defined as the digital process of materialization that adds to new sorts of digital tectonics with the help of digital fabrication processes, robotic technologies [ Figure 10].…”

Bridging the gap between rectifying developables and tangent developables: a family of developable surfaces associated with a space curve

“…Since any curved developable surface can be formed from a flat region while preserving the distance along any curve between any pair of points, the work required to deform thin sheets of materials as diverse as paper, leather, metal, and glass into developable shapes is much less than that needed to attain other shapes. Developable surfaces have thus been of longstanding relevance in many areas, including the design of ship hulls [2] and automobile parts [3,4], buildings [5,6], especially lightweight structures like facades [7] and pavilions [8], apparel [9] and footwear [10]. Due to the widespread utility of developable surfaces, methods for generating and processing them are now standard features of most computer-aided design platforms.…”

Wooden Structures within the Context of Parametric Design: Pavilions and Seatings in Urban Landscape

“…(a-c) Catenoid form, inside\out research pavilion at the central campus of the TUM, Munich[17] (a and b) Helicoidal surfaces, butterfly gallery, Universidade Federal do Rio de Janeiro, Brazil, 4-14 August, 2015, Andrés Martín-Pastor, Juan Expósito Bejarano[18] a b…”