The shape of the folded surfaces

Drawing control and analysis

Contributi
Massimiliano Lo Turco
Livello
Studi, ricerche
Dati
pp. 266,      1a edizione  2019   (Codice editore 566.2)
Peer reviewed content
Peer Reviewed Content

The shape of the folded surfaces Drawing control and analysis
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In breve

Among the various ways of dealing with surface folding, this text analyzes the properties of the fold in determining surfaces that admit different spatial configurations. The problems faced in these experimental models have promoted the geometric solution that has the advantage of being more effective in the visualization of the form and therefore in generating creative ideas within the design process. In this perspective, the experimental use of the Visual Programming Language that operates in the three-dimensional modeling facilitates the analysis and design of reactive architectures.

Presentazione del volume

Geometry is the first origami property observed, but this is followed by symmetry, balance and proportion. Aesthetic, technical and geometric parameters that make the design of these surfaces particularly interesting for architecture, engineering and design.
Among the various ways of dealing with surface folding, this text analyzes the properties of the fold in determining surfaces that admit different spatial configurations.
The problems faced in these experimental models have promoted the geometric solution that has the advantage of being more effective in the visualization of the form and therefore in generating creative ideas within the design process. In this perspective, the experimental use of the Visual Programming Language that operates in the three-dimensional modeling facilitates the analysis and design of reactive architectures. This type of folding is particularly interesting for architecture, design and engineering.

Andrea Casale is a professor at the Faculty of Architecture at the University of Rome "Sapienza". His research is mainly oriented to the theory of shape representation applied to visual communication, architecture and product design.

Graziano Mario Valenti is a professor at the Faculty of Architecture at the University of Rome "Sapienza". His research activity is focused on the application of digital technologies in surveying, geometry and visual communication of architecture and industrial products.

Michele Calvano, architect PhD in architectural representation, specializes in mathematical modeling and parametric modeling. Research fellow at DAD, Polytechnic of Turin, he writes articles about modeling for cultural heritage.

Alfonso Oliva is the Director of LERA+ an R&D laboratory in New York. He has dedicated his career to the pursuit of computational design and engineering in the arts and architecture. He holds a Master in Product Architecture and a Master of Science in Structural Engineering.

Mia Tsiamis
, computational designer and BIM Specialist at LERA+, develops parametric workflows to achieve interoperability between architectural, structural analysis and Revit models as well as for conceptual studies, geometric rationalization, documentation, and fabrication.

Indice

Massimiliano Lo Turco, Foreword
Introduction
The Huzita-Hatori axioms
(Trisectrix of an angle)
The articulated folded surface
The first fold
(The rectangle; Rectilinear movement; Nodal system for the rectangular panel; Folding with line segments; Folding with a change in angle; Curvilinear movement; Multiple folds; The triangle; The shape of the folded surfaces; Planar support; Nodal system for the triangular panel; Support on a double-curvature surface; Two lines of support; When the lines of support are two circular arcs; When the lines of support are a line and a curve; When the lines of support are two curves; The generative approach in folded surfaces; Identification of constraints and goals; More folds)
The second fold
(The rectangle; The triangle)
The third fold
The neutral fold
Three or four sides
Tessellations
(Yoshimura pattern; Miura pattern; The generative approach in Miura pattern)
Developable ruled surfaces with folded surfaces
(From the plane to the cylindrical surface; Orientation and distribution of cylindrical surfaces along a line; Orientation and distribution of cylindrical surfaces on a foldable surface; From the plane to the conical surface; Conical surfaces imposed on polygons; Orientation and distribution of conical surfaces along a line; Truncated conical surfaces; Conical surfaces on helices; Conical surfaces on paraboloids; Conical surfaces: folds on the slope; Sets of conical and flat surfaces; Bend)
Origami basics and research context
(Geometric properties of origami folds; Recent research on origami and its applications in architecture; Workflow; Studies; Pattern-finding; Method 1; Method 2; Freeform variation of the Miura-ori pattern; Structural studies: basic fan fold; Structural studies: form-matching; Folding flat pattern to match target surface; Structural studies: structural analysis using Karamba; Optimization; Linear static analysis (Kangaroo's Analyze Th.I component); Second order analysis (Kangaroo's Analyze Th.II component); Grouping element thicknesses; Observations from analysis; Structural studies: results; Miura pattern; The effect of fold pattern line density; The effect of support conditions of the folded structure; Resch pattern; The effect of target surface curvature; The effect of fold pattern line density; Conclusion)
References.