BEHAVIORAL STRATEGIES SYNTHESIZING DESIGN COMPUTATION AND ROBOTIC FABRICATION OF LIGHTWEIGHT TIMBER PLATE STRUCTURES Tobias Schwinn University of Stuttgart Oliver David Krieg University of Stuttgart Achim Menges University of Stuttgart 1 Prototype building “Landesgartenschau Exhibition Hall.” Interior view of the timber plate structure (Halbe, 2014) ABSTRACT The research described in the paper investigates the potential of behavior-based strategies, such as Agent-Based Modeling (ABM) and behavioral form finding, to facilitate the synthesis of computational design and robotic fabrication with regards to performative lightweight timber plate structures. In the first part, the authors provide an overview on the related topics agent systems and planar approximation of complex geometry. In the second part, an integrative computational design methodology is presented that enables the realization of a novel construction system for timber plate structures including a custom robotic fabrication process. The last part of the paper is dedicated to the architectural case study building “Landesgartenschau Exhibition Hall” that has been designed, robotically fabricated and constructed to test and evaluate this novel computational design methodology for timber plate structures. 177 INTRODUCTION A surprising amount of research and development has been dedicated in recent years to one of the oldest available building materials: wood. Innovation in fabrication technology, recent changes in building code and regulations, explorations in high-rise construction and innovative new building products have led to what can be termed a renaissance of timber construction (Fountain 2012). Certainly, as a renewable resource, and given its negative carbon footprint and low embodied energy (Alcorn 1996; Kolb 2008), wood plays a central role in the current discourse on carbon-neutral, energy- and resource-efficient construction. However, in many regions timber is also a limited resource, as the forests fulfill a number of conflicting socio-economic and 2 Fabrication and construction. A. Robotic fabrication of a plywood plate with large-scale finger joints. B. Assembly of the novel, lightweight timber plate structure prototype. (ICD/ITKE/IIGS University of Stuttgart 2014) ecologic roles. Protection of natural habitats, invaluable spaces for recreation and economic considerations of investment and return application in architecture has to involve structural performance cri- can place a considerable pressure on forests. In this context of teria and the specific constraints of material, fabrication and build- growing demand and limited supply, strategies are needed that ing technology (Figure 2). As part of the ongoing research into light- are able to negotiate the conflicting benefits of increasing tim- weight timber plate structures, a novel behavioral design approach ber construction on the one hand, but minimizing the volume of is introduced in this paper that addresses the following goals: wood exploitation on the other. One strategy is to reuse off-cut or reintroduce it into the material cycle. Another is to decrease the ratio of self-weight to load-bearing capacity and, consequently, to (1) solve the polygonal subdivision of complex, doubly curved geometries using planar building elements; increase the structural performance. A methodology to implement (2) synthesize computational design and robotic fabrication in the latter is lightweight construction. a coherent digital design approach; and (3) integrate the demands of a fully enclosed, insulated and The research presented in this paper is part of an ongoing effort to waterproof building. design and develop resource-efficient lightweight structures and their corresponding fabrication procedures, and to demonstrate their performance through prototype buildings (Figure 1). In the con- CONTEXT AND RELATED WORK text of lightweight construction, plate structures are of particular One of the indisputable and at the same time intangible qualities interest as they are exceptionally performative from a structural of architecture is that it constitutes more than the sum of its parts. point of view: they can be organized such that the individual plates Nevertheless, buildings are essentially assemblies of a vast array constitute the primary load bearing structure, instead of the joints of individual elements that interface with their respective neigh- (Bagger 2010). Previous research showed that an integrated, perfor- mance-driven computational design process is paramount to the development of a performative architectural timber plate structure (La Magna et al. 2013; Schwinn, Krieg and Menges 2012). Such a pro- cess requires the synthesis of design and fabrication, so that the rules and constraints of a specific fabrication setup can inform the design process. The morphospace of a particular fabrication setup provides the conceptualization for integrating machine control into the design domain and, reciprocally, design information into the machine domain (Menges 2012). bors through joints and connections. This interfacing is predicated on the rules and constraints that are inherent to the building elements themselves. In other words, embedded in each component, be it beam, column, panel, wall or window, are well-defined functional, material, fabricational and assembly logics. The prospect of this research, therefore, is that locally defined rule sets, which are inherent to each building element, can be utilized in a bottom-up approach for negotiating the shape and location of these elements within the larger context of an assembly according to well-defined performance criteria. This hypothesis is being investigated with regards to the bottom-up, rule-based formation One of the challenges involving plate structures, however, remains of finger joint timber plate structures using agent-based modeling, the tessellation or approximation of non-trivial geometry through a computational approach for locally integrating constraints into a planar subdivision. Beyond an exercise in computer graphics, an system of multiple interacting parts. FABRICATION AGENCY ACADIA 2014 DESIGN AGENCY 178 3 Tangent plane intersection for doubly curved surfaces. Oscullating circles indi- cate curvature (1/R), principal curvature directions and orientation. A. Synclastic, positive Gaussian curvature K > 0. B. Anticlastic, negative Gaussian curvature K < 0. (ICD/ITKE/IIGS University of Stuttgart 2014) AGENT-BASED MODELING Agent-based modeling (ABM) is a computational methodology for design, simulation, optimization and decision making that is utilized in a variety of fields including robotics, finance, logistics, computer games, sociology and biology—in other words, whenever many individuals interact with each other and the environment according to locally defined rules. Very often this process exhibits a form of emergent self-organization that does not require centralized control mechanisms (Ball 2012). Example applications of ABM in the architectural and urban planning context are the simulation of pedestrian movements in urban environments, simulation of building evacuation and design exploration. Recent applications include ABM for integrating fabrication constraints into the design process (Baharlou and Menges 2013). Being an example for behavior-based artificial intelligence (Brooks 1986), in each of these application scenarios, the premise is that ABM can simulate and solve complex optimization problems involving multiple locally interacting entities. Current implementations of agent-based systems such as the one by Shiffman in Processing (1) are to a large extent based on a model developed by Craig Reynolds in the 1980s and 1990s (Shiffman 2012). One of the key features of Reynolds’s model is the ability of autonomous vehi- cles, a concept borrowed from Braitenberg, to reposition and reorient based on internal rules and external stimuli exhibiting a form of collective behavior (Reynolds 1999; Braitenberg 1984). The vehicles have a limited ability to perceive their environment, including fellow vehicles, and adjust their movements according to their pre-defined goals. Besides locomotion, the main aspect of Reynolds’s model is the definition of steering rules that provide the agents with improvisational, life-like collective behaviors. While the behaviors described by Reynolds are mainly geared towards computer gaming and character animation, the fundamental individual behaviors such as seek, arrival, containment and flow field following and group behaviors such as cohesion, separation and alignment can provide the basic building blocks for the further development with regards to plate systems. 179 SCHWINN, KRIEG, MENGES BEHAVIORAL STRATEGIES PLANAR SUBDIVISION Approximation of complex, doubly curved surfaces through planar subdivision is a topic in computational geometry that is actively especially beneficial for the structural behavior of plate structures (Wester 2002; Bagger 2010; La Magna et al. 2013). Consequently, TPI is implemented as a property of each agent in the agent system. being researched in the fields of computer graphics (low poly representation of large data sets, for example produced by 3D scanning) and architectural geometry (optimization of complex geometry for fabrication). Strategies of varying complexity are investigated in the literature, each of which has its specific application scenario but also distinct limitations. A recurring theme, however, are variations of the tangent plane intersection method (Troche 2008; Wang et al. 2008; Manahl, Stavric and Wiltsche 2012; Zimmer et al. 2012). Tangent plane intersection (TPI) has a number of useful AGENT-BASED MODELING FOR PLATE STRUCTURES The agent-based modeling approach for plate structures relies on the calculation of a steering force for each agent based on its individual behaviors. These behaviors address a variety of goals related to global design parameters, such as the number of plates, average plate size or structural performance and to local design parameters. characteristics that also make it applicable in the context of agentbased modeling for plate structures. First, the intersection points of a plane T0 with its neighboring planes can be constructed unambiguously without the need for a computationally expensive iterative approximation. Second, these intersection points, which define the vertices of the polygon, are guaranteed to lie in the original plane T0 (Figure 3). Third, the method is equally robust on synclastic and anticlastic surfaces. In parabolic areas however, that is in areas where the Gaussian curvature K approaches zero, the intersection points of nearly parallel planes might be extremely far from the input points, resulting in degenerate polygons. A second challenge of the TPI method is the need to determine which tangent plane intersects with which other planes nearby in order to generate valid intersection points. Therefore, for each plate the notion of a neighborhood has to be introduced in order to define which of the resultant planar polygons will share an edge. Wang et al. and Troche address this task by introducing a duality, which states that for each planar, polygonal subdivision exists a corresponding triangular 4a Parameters of the morphospace as agent behaviors: Plate angle-based agent behavior (ICD/ITKE/IIGS University of Stuttgart 2014) representation. The main effort in this approach then becomes the generation of a valid triangulation. While the two methods suggested by the authors, the conjugation method (Wang et al. 2008) and the advancing front method (Troche 2008), are responding to the local curvature of the underlying geometry and produce meaningful results for some types of doubly curved surfaces, they only allow indirect control of the plate sizes and other fabrication constraints. Manahl et al. try to address the same issues with a focus on ornamental panelizations by giving the designer more control over the individual plate geometries through a point grid controller (Manahl et al. 2012). However, with a rising number of elements and manipulations the process quickly becomes impractical. It is important to note that the duality between triangulation and planar subdivision is such that in the polygonal result, three polygons will always share one vertex (3-valency). Wester, Bagger, La Magna and others have shown that this configuration is FABRICATION AGENCY 4b Parameters of the morphospace as agent behaviors: Edge-based agent behavior with underlying change-of-curvature vector field (ICD/ITKE/IIGS University of Stuttgart 2014) ACADIA 2014 DESIGN AGENCY 180 and subsequent edge flipping of the 3D mesh based on shortest Cartesian distance to define plate adjacencies (Troche 2008). As described above, the intersections of the three tangent planes TN at the vertices of each triangle adjacent to T0 define the vertices of the agent’s plate (Figure 3). BEHAVIORS BASED ON THE MORPHOLOGY OF THE PLATES The steering forces are calculated based on the local plate morphology. Attributes of the plate-agent model are plate size (radius of the circumscribing circle), plate edge lengths, plate angles between adjacent plates and planarity. The definition of what is a desirable 5a Change-of-curvature vector field with vectors pointing towards decreasing absolute Gaussian curvature. A. Synclastic surface (ICD/ITKE/IIGS University of Stuttgart 2014) plate morphology and the valid ranges for the attributes’ values are primarily based on the fabrication and construction parameters: sizes of the stock material and machine dimensions determine the maximum polygon radius; joint type and joint fabrication strategy determine the minimum and maximum allowable angle between plates and the range of allowable edge length. Secondarily, this definition is also based on aesthetic considerations, for example, similar edge proportions and symmetry within the plate. Following are two examples for plate behaviors: First, the angle between adjacent plates is a function of the distance between agent locations and of the amount of curvature at the agent locations: decreasing the distance between plates will also decrease the angle between them. Second, in the case of an asymmetrical plate outline with large changes in edge lengths the location of the agent will be away from the weighted edge centroid of its plate: moving 5b B. Surface with both synclastic (red and yellow) and anticlastic (cyan and blue) regions separated by the parabolic line, where K=0. (ICD/ITKE/IIGS University of Stuttgart 2014) the agent towards the edge centroid will result in a symmetrical plate outline. BEHAVIORS BASED ON THE PROPERTIES OF THE ENVIRONMENT These local parameters are directly related to the constraints of material and fabrication: in order to generate producible plates, their geometric attributes have to lie within the given machinic morphospace. The behaviors translate the given goals in terms of repositioning and reorienting the agents tangentially along the surface. A crucial aspect in the translation of goals into motion behaviors is the definition of the appropriate individual actions that lead to a global planar configuration. IMPLEMENTATION DEFINING THE NEIGHBORHOOD The specific plate outline of each agent is not only a function of the topology of the agent system and the distances between agents, but also based on the properties of the environment that the agent model inhabits. Specifically the local curvature has an effect on the plate outline: convex in K>1 areas, non-convex in K<1 areas, which results in the characteristic bow-tie shape in the case of a hexagon. The local curvature change, represented by a vector field (flow field) with the vectors pointing in the direction of decreasing curvature, is used in a behavior that drives the vehicles into areas of increasing The agent locations define the input point set for the tangent absolute curvature, avoiding parabolic areas (Figure 5). A second plane intersection. The neighborhood of each agent is defined behavior related to the environment insures that the agents remain using a Delaunay triangulation of the parameter value set (u, v) within the boundary of the environment (containment). 181 SCHWINN, KRIEG, MENGES BEHAVIORAL STRATEGIES 6 Synclastic surface regions. A. Plates based on randomly distributed input points. B. Plates based on ABM (ICD/ITKE/IIGS University of Stuttgart 2014) DEALING WITH EXCEPTIONS As described above, the TPI method produces invalid results in parabolic areas, that is in areas where K approaches 0. Therefore, a mechanism has been devised to deal with the cases where degenerate polygons are generated. First, what constitutes a degenerate polygon has to be defined by some boundary condition or threshold value. Empirically, it has been found that a test for inclusion is a useful threshold for stating if a polygon will be invalid: if the projection I’ of the intersection point I (of the tangent planes of a triangle) onto plane T of the triangle lies outside its circumcircle C, then the intersection I is considered invalid and the point is projected onto the perimeter of C. The resultant polygonal outline is clearly non-planar but the adjacent polygons will still be able to share the same vertex. Each agent therefore has two modes of operation: (1) with a valid plate, in which the steering is based on the properties of the plate, and 7a Anticlastic surface regions. Plates based on randomly distributed input points (ICD/ITKE/IIGS University of Stuttgart 2014) (2), without plate (but with polygonal non-planar outline), where the steering is geared towards acquiring a valid plate. Once the agent has acquired a valid plate it will switch modes and try to improve its plate’s characteristics using the behaviors defined in mode (1). RESULTANT BEHAVIORS The resultant behavior of each agent in the system is a negotiation of the multiple goals and behaviors described above. However, in order to achieve the high-level goal of an aesthetic, structurally performing and producible plate structure, the steering force of each agent cannot be calculated simply based on a weighted average of all its behaviors as some behaviors might cancel each other out (Reynolds 1999). Instead, a prioritized approach has been chosen based on the ordered sequence of containment, planarity and plate behaviors. In the development stage, the ABM approach was continuously 7b Plates based on ABM (ICD/ITKE/IIGS University of Stuttgart 2014) tested on generic case studies as a proof-of-concept. FABRICATION AGENCY ACADIA 2014 DESIGN AGENCY 182 individual joint geometry. As described above, each parameter can be described with maximal, minimal and optimal values towards which the agent-based simulation is aiming. FABRICATION PARAMETERS OF LARGE-SCALE FINGER JOINTS In previous research different types of robotically fabricated finger joints have been developed for specific structural and architectural tasks (Schwinn, Krieg and Menges 2012; Krieg and Menges 2013). It was shown not only that the individual plates in a plate structure can be arranged in a way so that they are the primary load bearing elements, but also that the structural stability is based on distributed in-plane shear forces along the plate edges (Bagger 2010), thus making teethed and interlocking connections, such as finger 8 Large-scale finger joints. A. Physical prototype of a plywood timber plate that includes extended functionalities to meet requirements of on-site assembly and building codes. B. Different parameters control the finger joint geometry and cross fitting screw connection details. (ICD/ITKE/IIGS University of Stuttgart 2014) joints, particularly suitable (Figure 8). In the presented research project and corresponding case study, a large-scale finger joint connection is part of the development of an integrative digital design and fabrication process for lightweight and large-scale plywood plate structures. The constructional Specifically, it was tested in different environments, such as syn- details and robotic fabrication process are developed in close clastic (Figure 6), anticlastic (Figure 7) and parabolic regions. In order relation with the machine setup (machinic morphospace) involving to evaluate the efficacy of the approach, the ABM solution was workspace and boundary conditions, such as stock material, and compared to a random distribution of input points, the TPI method building part handling and assembly. being the same in both cases. The result shows that the high-level agent behavior optimizes the plate morphology and distribution with respect to the performance criteria stated above. However, it was also shown that in the current implementation and state of development, the system might fail to converge to a stable solution in the parabolic areas. For this case, and in order to expedite the generation of a valid solution, a post-process was developed that forces planarity through an optimization method, minimizing non-planarity, similar to Wang et al. at the cost of a less optimal plate morphology (Wang et al. 2008). A special focus in the development of three-dimensional finger joints lies on construction and assembly details, especially in the context of negative Gaussian curvature areas. The finger joints’ functionality is extended to meet requirements of on-site assembly as well as building codes for connecting plywood plates under different structural load conditions. This leads to the implementation of both, assembly-related functionalities such as screw pockets and plate insertion vectors, as well as constructional details such as cross-type screw fittings. The integration of these additional functionalities is achieved using a generative parametric One approach to address the convergence problem will be to design methodology, making every detail adaptable to local and allow additional degrees of freedom for the agents on the surface. global parameters (Figure 9). Similar to Zimmer et al., this might include freeing the agents’ plate normal vectors from being oriented strictly normal to the orient away from the tangent plane would provide more degrees DATA MODEL AND MACHINE CODE INTEGRATION of freedom and allow the system to converge to a valid solution. A computationally lightweight boundary representation (B-rep) surface (Zimmer et al. 2012). In such a way, normal vectors that can model generated by the agent system geometrically represents ROBOTIC FABRICATION OF FINGER JOINTS the plate distribution. Throughout the whole digital design and fabrication process, no more geometry information than the sur- The synthesis of the material’s design space and the machinic face representation is needed. The model maintains a topological morphospace is reflected by a group of process-specific param- database of the connectivity between all plates and edges includ- eters, ranging from the available plywood stock material to the ing a numeric representation of all plates, their adjacent edges 183 SCHWINN, KRIEG, MENGES BEHAVIORAL STRATEGIES 9 Milling cycles. Position and orientation of the tool is calculated in relation to the normal vectors of two adjacent plates and their shared edge. A. Roughing and finishing. B. Pockets. C. Spot facing (ICD/ITKE/ IIGS University of Stuttgart 2014) and neighboring plates, as well as their connection angle (Figure 10A). Subsequent modeling steps, such as material thickness, joint geometry, and tool path generation, only depend on the topology information as a basis and data structure template. Tool-paths can be generated without any further geometric information (Figure 10B). In fact, the solid plate model itself is generated from the tool-path information and only needed for visualization and quantity takeoff purposes (Figure 10C). Based on the topological surface representation of the plate arrangement, tool-paths are generated mainly through trigonometry operations using geometric parameters such as the connection angle between two adjacent plates, their shared edge’s length and user parameters, such as material thickness and joint size. Several categories of tool-paths are subsequently generated that can also be adapted during the fabrication process to meet certain tolerance criteria (Figure 9). Besides the tool-paths for roughing and finishing the plate’s three-dimensional contour, auxiliary tool-paths are generated for constructional details such as cross-type screw fitting pockets, spot facing areas and drilling tool-paths. The subsequent simulation of the 7-axis robot kinematics for fabricating the plates is directly linked to the machine code generation. With the use of a turn table as an additional axis, the simulation provides control over the robot and turn table movement and exports ISO-compliant machine code for KUKA.CNC (2) that can directly be read and executed by the robotic setup without further file format translations (Figure 11). CASE STUDY AND RESULTS In order to demonstrate the flexibility and adaptability of the agent-based modeling approach on a large-scale prototype building, a computational form finding method was developed for generating the agent system’s environment that integrates the system’s requirements for doubly curved geometries. The design space at which the development is aiming can be seen as an intersection FABRICATION AGENCY ACADIA 2014 DESIGN AGENCY 184 10 The tool-paths for the robotic fabrication of a plate are generated from the topology analysis of a surface model (ICD/ITKE/IIGS University of Stuttgart 2014) tool in the design process possible. Examples of the latest developments in this field are the Thrust Network Analysis method, which allows the design of compression-only networks (Lachauer, Rippmann and Block 2010), as well as hanging chain models, which are part of the force density method based on the force-length ratios defined for individual elements of a net structure (Schek 1974). Both methods’ basic principle of force simulation is used for the development of a custom digital design approach, integrating particle spring-based form finding, as well as additional external, force-driven design inputs that can react to boundary conditions such as an architectural context and program. By employing additional local controllers that act as design forces in the realm of physical simulation, the design tool finds a force equilibrium between top-down design inputs and catenary form. 11 Robotic fabrication setup. Simulation of fabrication process and robot control code generation (ICD/ITKE/IIGS University of Stuttgart 2014) This method shows particular advantages for construction systems that do not depend on compression-only geometries, such as 3-valent plate structures, and widely extends the design space while between global geometry parameters, structural optimization still pursuing a structurally informed solution at all times during the and boundary conditions of the ABM strategy as well as the fab- simulation. rication process. To meet these requirements, the computational form finding tool aims at a structurally informed global geometry while also responding to top-down design inputs. COMPUTATIONALLY DEVELOPING AN ENVIRONMENT FOR AGENT SYSTEMS This process also allowed the control of double curved surfaces, which inherently perform better than surfaces with Gaussian curvature approaching 0. This applies for structural optimization as well as for the plate structure system itself, whose individual plate geometry directly depends on the local curvature. In the pre- Physical form finding for structural optimization has been devel- sented case study, the custom digital design approach used an oped and used throughout the 20th century. Today, computation- iterative process for the adaptation of the global geometry to local al methods make physical simulations as a digital form finding plate parameters and vice versa (Figure 12). 185 SCHWINN, KRIEG, MENGES BEHAVIORAL STRATEGIES 12 Global plate morphology in relation to Gaussian Curvature. A. The custom digital design approach is a synthesis of bottom up form-finding and top-down design inputs in order to adapt to spatial and geometrical parameters. B. Resultant plate arrangement of the ABM method on the basis of the generated surface environment. (ICD/ ITKE/IIGS University of Stuttgart, 2014) 1 3 Interior views. A. The computationally generated fabrication data model. (ICD/ITKE/IIGS University of Stuttgart, 2014) B. The prototype building at the Landesgartenschau. (Halbe, 2014) FABRICATION AGENCY ACADIA 2014 DESIGN AGENCY 186 LARGE-SCALE PROTOTYPE BUILDING CONCLUSION The developed integral computational design and digital fab- The research presented in this paper demonstrates the synthesis rication method for timber plate structures was applied in the of computational design and digital fabrication through agent- context of a large scale prototype building built as part of the based modeling in the context of a large-scale prototype building. Landesgartenschau in Schwäbisch Gmünd, Germany, in 2014 It shows that, while the development of a robotically fabricated (Figure 13). Named the Landesgartenschau Exhibition Hall, the pro- finger joint plate structure is an essential part of lightweight timber totype is a fully enclosed, insulated and waterproof building that construction, agent-based modeling strategies enable a highly dif- hosts an exhibition during the Landesgartenschau and will serve ferentiated structural and architectural performance. Through the as an event space afterwards. The plate structure system is con- implementation of agent behavior based on plate morphologies, structed using locally available beech plywood, the availability of the design process integrates fabrication constraints and plate which is in line with the future regional foresting strategies. structure characteristics. Here, the design process is informed by the robotic fabrication technique, and vice versa. The developed process includes all stages of fabrication for all construction layers of the plate structure, starting from the automated machine code generation for cutting stock pieces on a Hundegger Speed-Panel-Machine, and the generation of the robotic fabrication code for the KUKA.CNC language (ISO 6983), to the fabrication data for water-jet cutting the waterproofing EPDM layer and CNC milling the wood fiber insulation and the larch plywood cladding layers. Consisting of 243 prefabricated polygonal modules, the case study building exhibits exceptional lightweight characteristics as its structural beech plywood layer is only 50 mm thick and spans almost 10 meters. Overall, a usable floor area of 125 m² and a gross volume of 605 m³ is enclosed by 12 m³ of beech plywood, resulting in a structural weight of only 37.9 kg/m² of the shell (Figure 14). In line with the overall goal of maximizing the utilization of the available building material, the cut-off generated by the cutting of the stock pieces could be reused in the ACKNOWLEGEMENTS The work presented in this paper was partially funded by the European Union through the European Fund for Regional Development (ERDF) and the state of Baden-Württemberg through the “Clusterinitiative Forst und Holz” program and is part of a joint research project between the University of Stuttgart and Müllerblaustein Holzbau GmbH. The authors would like to express their gratitude towards their fellow investigators, Prof. Jan Knippers and Jian-Min Li at the Institute for Building Structures and Structural Design (ITKE), and Prof. Volker Schwieger and Annette Schmitt at the Institute for Geodesic Engineering (IIGS), University of Stuttgart. The authors would also like to thank their project partners Müllerblaustein Holzbau GmbH, Landesgartenschau Schwäbisch Gmünd 2014 GmbH, ForstBW and KUKA Roboter GmbH. hardwood flooring as lamellas of the parquet. 14 Material utilization. The Exhibition Hall’s volume of 605 m³ is enclosed with only 12 m³ of beech plywood resulting in a self-weight to shell surface area ratio of 37.9 Kg/m² (ICD/ITKE/IIGS University of Stuttgart 2014) 187 SCHWINN, KRIEG, MENGES BEHAVIORAL STRATEGIES REFERENCES Braumann, 48–61. Springer Wien New York. Alcorn, Andrew. 1996. Embodied Energy Coefficients of Building Materials. Wellington: Centre for Building Performance Research, Victoria University of Wellington. Shiffman, Daniel. 2012. The Nature of Code. Edited by Shannon Fry. 2012 ed. New York: Daniel Shiffman. Bagger, Anne. 2010. “Plate Shell Structures of Glass Studies Leading to Guidelines for Structural Design.” PhD diss., Technical University of Denmark. 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TOBIAS SCHWINN is research associate and doctoral Krieg, Oliver David, and Achim Menges. 2013. “Potentials of Robotic Fabrication in Wood Construction.” In ACADIA 13: Adaptive Architecture [Proceedings of the 33rd Annual Conference of the Association for Computer Aided Design in Architecture (ACADIA)], edited by Philip Beesley, Omar Khan and Michael Stacey, 253–260. Cambridge, Ontario. candidate at the Institute for Computational Design (ICD) at the University of Stuttgart, Germany. In his research he is focusing on the integration of robotic fabrication and computational design processes. Prior to joining the ICD in 2011, he worked as a Senior Designer for Skidmore, Owings and Merrill in New York and London. 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In the context of computational design his research aims to investigate the architectural potentials of robotic fabrication in wood construction. ACHIM MENGES is a registered architect and professor Schwinn, Tobias, Oliver David Krieg and Achim Menges. 2012. “Robotically Fabricated Wood Plate Morphologies.” In Robotic Fabrication in Architecture, Art and Design, edited by Sigrid Brell-Çokcan and Johannes at the University of Stuttgart where he is the founding director of the Institute for Computational Design. His work focuses on the development of integrative design processes at the intersection of morphogenetic design computation, biomimetic engineering and robotic fabrication. FABRICATION AGENCY ACADIA 2014 DESIGN AGENCY 188
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