Embedded Rationality: A Unified Simulation Framework for Interactive Form Finding

Abstract

This paper describes embedded rationality as a method for implicitly combining fabrication constraints into an interactive framework for conceptual design.While the concept of 'embedded rationality' has been previously discussed in the context of a parametric design environment, we employ this concept to present a novel framework for dynamic simulation as a method for interactive form-finding. By identifying categories of computational characteristics, we present a unified physics-solver that generalizes existing simulations through a constraintbased approach.Through several examples we explore conceptual approaches to a fixed form where the resulting effects of interacting forces are produced in real-time. Finally, we provide an example of embedded rationality by examining a constraint-based model of fabrication rationale for a Planar Offset Quad (POQ) panelization system. ᭣ Figure 1. k-simplex shapes used in the unified solver (left to right): point, edge, triangle, and tetrahedron ᭣ Figure 2. Three fundamental constraints (left to right): edge length, angle between two edges, and angle between two faces

Development of a parametric optimization concept for the sun control of the outdoor spaces: the case study of 5A business park, Cairo, Egypt

“…Built shade can be stand-alone, or it can be built onto existing buildings or structures. Form-finding processes have long been conducted out using computational tools and physics-based algorithms, allowing the combination of previously separate processes of form generation and evaluation and transforming form-finding into an interactive dynamic process (Attar et al, 2010).Tensile shading's lightweight nature and ease of installation make it a sustainable and cost-effective choice for shading solutions in parks, public squares, commercial spaces and even residential applications (van Ameijde et al, 2022).The effectiveness of shading devices in cooling depends on their structure, components, and properties of the construction material (Lam et al, 2023). Different shade materials have been explored, such as nylon sun sails, polyvinyl chloride (PVC) umbrellas, glass covers, aluminum structures, pergolas and photovoltaic canopies (Lee et al, 2020).…”

“…Built shade can be stand-alone, or it can be built onto existing buildings or structures. Form-finding processes have long been conducted out using computational tools and physics-based algorithms, allowing the combination of previously separate processes of form generation and evaluation and transforming form-finding into an interactive dynamic process (Attar et al. , 2010).…”

Fabricate 2017

“…The geometric properties of the so-called edge-offset mesh (EO mesh) (Pottmann & Wallner, 2008, Liu & Wang, 2008 and the requisite properties of the control net of Bézier surfaces that make the surfaces themselves developable (Lang & Röschel, 1992) are the most relevant prior works in this regard. The work of Bouaziz et al (2012) and Attar et al (2010) are also relevant with regard to iterative solutions of multiple constraints.…”

ShapeOp—A Robust and Extensible Geometric Modelling Paradigm

“…For form-finding, one popular approach is to model the shape as a system of nodes subject to internal and external forces, and to compute the final shape as an equilibrium state of the system (Day 1965;Kilian and Ochsendorf 2005;Attar et al 2009;Senatore and Piker 2015). For example, Kilian and Ochsendorf (2005) use particle-spring systems for finding structural forms composing only axial forces.…”