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Figure 1: This large sculpture of Bunny is constructed with laser cut poster-board papers assembled with brass fasteners.With the design and construction of more and more unusually shaped buildings, the computer graphics community has started to explore new methods to reduce the cost of the physical construction for large shapes. Most of currently suggested methods focus on reduction of the number of differently shaped components to reduce fabrication cost. In this work, we focus on physical construction using developable components such as thin metals or thick papers. In practice, for developable surfaces fabrication is economical even if each component is different. Such developable components can be manufactured fairly inexpensively by cutting large sheets of thin metals or thin paper using laser-cutters, which are now widely available. (a) (b) (c) Figure 2: Construction elements for bunny. (a) is an example of vertex component that is cut with laser cutter, (b) shows elements of vertex component and (c) shows the process of assembling vertex components with fasteners.We observe that one of the biggest expenses for construction of large shapes comes from handling and assembling the large number components. This problem is like putting pieces of a large puzzle together. However, unlike puzzles we do not want construction process to be challenging. Instead, we want to simplify the construction process in such a way that the components can be assembled with a minimum instruction by the construction workers who may not have extensive experience.In this work, we introduce an approach to automatically create such easily assembled developable components from any given manifold mesh. Our approach is based on classical Graph Rotation Systems (GRS). Each developable component, which we call vertex component, is a physical equivalent of a rotation at the vertex v of a graph G. Each vertex component is a star shaped polygon that physically corresponds to the cyclic permutation of the edge-ends incident on v (See Figure 2(a)). We engrave edge-numbers with lasercutters directly on edge-ends of vertex components to simplify finding corresponding edge ends. When we print edgenumbers, we actually define a collection of rotations, one for each vertex in G. This is formally called a pure rotation system of a graph.The fundamental Heffter-Edmunds theorem of GRS asserts that there is a bijective correspondence between the set of pure rotation systems of a graph and the set of equivalence classes of embeddings of the graph in the orientable surfaces. As a direct consequence of the theorem, to assemble the structure all construction workers have to do is to attach the corresponding edge-ends of vertex components. Once all the components are attached to each other, the whole structure will correctly be assembled.Gauss-Bonnet theorem, moreover, asserts that the total Gaussian curvature of a surface is the Euler characteristics times 2π. Since the structure is made up only developable components, Gaussian curvature is zero everywhere ...

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Virtual design production demands that information be increasingly encoded and decoded with image compression technologies. Since the Renaissance, the discourses of language and drawing and their actuation by the classical disciplinary treatise have been fundamental to the production of knowledge within the building arts. These early forms of data compression provoke reflection on theory and technology as critical counterparts to perception and imagination unique to the discipline of architecture. This research examines the illustrated expositions of Sebastiano Serlio through the lens of artificial intelligence (AI). The mimetic powers of technological data storage and retrieval and Serlio’s coded operations of orthographic projection drawing disclose other aesthetic and formal logics for architecture and its image that exist outside human perception. Examination of aesthetic communication theory provides a conceptual dimension of how architecture and artificial intelligent systems integrate both analog and digital modes of information processing. Tools and methods are reconsidered to propose alternative AI workflows that complicate normative and predictable linear design processes. The operative model presented demonstrates how augmenting and interpreting layered generative adversarial networks drive an integrated parametric process of three-dimensionalization. Concluding remarks contemplate the role of human design agency within these emerging modes of creative digital production.

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