https://digiblast.org digiblast.org Sat, 01 Aug 2020 18:05:11 +0000 https://digiblast.org en https://digiblast.org/Homepage Sun, 19 Jul 2020 23:09:28 +0000 digiblast.org https://digiblast.org/Homepage https://digiblast.org/1-Euclidean-Space Sun, 19 Jul 2020 23:09:26 +0000 digiblast.org https://digiblast.org/1-Euclidean-Space Day 1 - Euclidean SpaceEuclidean geometry is foundational in the comprehension and representation of any spatial environment. In this class we examine Euclidean geometry as a synthetic axiomatic language and focus on its constructive tools,methods and system of ratios. We expand to Analytic (Cartesian) Geometry with the introduction of coordinate systems and in Boolean Logic as the foundation of binary representations and solid-void relationships. The 3D modeling tutorial focuses on the early work of Peter Eisenman on Palladio and specifically the generation of the initial massing diagram of House X. In comparison, we 3D model the Casa Albero Sperimentale by Guiseppe Perugini whose design begins with a tectonic definition of a unit and creates space through aggregation and multiplication. In the representation tutorial we create a series of orthographic and axonometric drawings and animations in relation to Euclidean motions. <img width="1170" height="731" width_o="1170" height_o="731" data-src="https://freight.cargo.site/t/original/i/de069e48a500bbc368f1a0ed0327a7199ed49febaf7537bcf992594226b7ab2d/Casa-Sperimentale.jpg" data-mid="78966295" border="0" src="https://freight.cargo.site/w/1000/i/de069e48a500bbc368f1a0ed0327a7199ed49febaf7537bcf992594226b7ab2d/Casa-Sperimentale.jpg" /> <img width="2550" height="2550" width_o="2550" height_o="2550" data-src="https://freight.cargo.site/t/original/i/e120dd158cba7cf36bf56e8daeee469498e3d674417fef78c6a404d733280abe/House-X-Eisenman---From-Structure-to-Subject-The-Formation-of-an-Architectural-Language-1.jpg" data-mid="78966235" border="0" src="https://freight.cargo.site/w/1000/i/e120dd158cba7cf36bf56e8daeee469498e3d674417fef78c6a404d733280abe/House-X-Eisenman---From-Structure-to-Subject-The-Formation-of-an-Architectural-Language-1.jpg" /> https://digiblast.org/2-Projective-Space Mon, 20 Jul 2020 01:15:00 +0000 digiblast.org https://digiblast.org/2-Projective-Space Day 2 - Projective Space From Euclid's Optics, to Brunelleschi's drawings of Palazzo Vecchio and Alfred Whitehead's Process and Reality, the development of Projective Space marks a long history of fundamental concepts in the documentation and manifestation of reality. The introduction of 'Points of View' and 'Points at Infinity' become powerful tools for Art, Science and Philosophy, in their attempt to both capture our physical world and to project fictional and generative models onto reality. Projective Space is still today, encoded in our VR and Machine Vision algorithms. As a case study in Projective Space, we trace the conical intersections present in the massing volumes of the Wu House by Preston Scott Cohen. We expand on our projective toolset to include Reality Capture and the photogrammetric description of an object. In the representation tutorial we look into perspective projections, transformations and camera motions. <img width="700" height="507" width_o="700" height_o="507" data-src="https://freight.cargo.site/t/original/i/3dd302b05ccf3d8903b79016c64be902381c9e0467a78824adb6abef141bf19a/wu_house_8.jpg" data-mid="78966930" border="0" data-scale="100" src="https://freight.cargo.site/w/700/i/3dd302b05ccf3d8903b79016c64be902381c9e0467a78824adb6abef141bf19a/wu_house_8.jpg" /> <img width="3300" height="2550" width_o="3300" height_o="2550" data-src="https://freight.cargo.site/t/original/i/809561af9767d4bb51fb4b830cc863ae42eee491313150479a962f9c87f0d572/WU-HOUSE-PLAN.png" data-mid="78965845" border="0" src="https://freight.cargo.site/w/1000/i/809561af9767d4bb51fb4b830cc863ae42eee491313150479a962f9c87f0d572/WU-HOUSE-PLAN.png" /> https://digiblast.org/3-Differential-Space Sun, 19 Jul 2020 23:09:27 +0000 digiblast.org https://digiblast.org/3-Differential-Space Day 3 - Differential Space Beyond the static definition of curvature in fixed conical intersections, the study of calculus based forms shifts the discourse from ratios to rates of change and from static observers towards evolutionary models. As the first step towards the introduction of curvature, calculus introduces a dialectic of discrete vs continuous with different type of control and results in radical dynamism of form in construction. Greg Lynn celebrated the morphodynamic tools of differential geometry in his article 'Animate Form', which coincided with the digital turn in architectural design. The history of differential space coincides in architecture with the typology of long span structures. In this class we introduce the geometric construction of NURBS (de Casteljau) and we 3D model the iconic TWA terminal of Eero Saarinen. In the representation tutorial we create a dynamic animation of cymatics through the parametric definition of a nurbs surface. <img width="814" height="438" width_o="814" height_o="438" data-src="https://freight.cargo.site/t/original/i/fdda3622629d284e76e5ff5d25811cf6a860a7bf273e9343f5b3be50c683d71a/g3_1080.jpg" data-mid="78966986" border="0" src="https://freight.cargo.site/w/814/i/fdda3622629d284e76e5ff5d25811cf6a860a7bf273e9343f5b3be50c683d71a/g3_1080.jpg" /> <img width="1024" height="811" width_o="1024" height_o="811" data-src="https://freight.cargo.site/t/original/i/77c683e2a454d7fb44e13ee347b7e0d3db2c599065304ad1d8fb06b017e15e88/Digiblast_D3_TWA-Saarinen_Plan.jpg" data-mid="78965587" border="0" src="https://freight.cargo.site/w/1000/i/77c683e2a454d7fb44e13ee347b7e0d3db2c599065304ad1d8fb06b017e15e88/Digiblast_D3_TWA-Saarinen_Plan.jpg" /> https://digiblast.org/4-Topological-Space Sun, 19 Jul 2020 23:09:27 +0000 digiblast.org https://digiblast.org/4-Topological-Space Day 4 - Topological Space The explosive instantiation that emerges from the parametric definition of space typically exhausts its limits for differentiation at the space of topology. As a highly abstract form of geometry, topological and organizational space are founded in Euler's solution to the 'urban' problem of the Seven Bridges of Königsberg. Euler also famously discovered the formula V-E+F=2, which describes the relationship between the vertices, edges and faces of any polyhedron. A rigorous understanding of topological operations becomes critical for architectural design. Older typological hierarchies are challenged by the rigorous definition of topological manifolds. In this class we study the Endless House by Frederick Kiesler; a radical work that redefines architecture through abstract concepts of 'connectivity', 'corealation' an'biotechnique'. We explore the limitation of NURBS as a topological tool and expand an essential toolkit for modelling with subdivision surfaces and meshes. In the representation tutorial we look at procedural texture mapping as well as slit-scan photography. <img width="800" height="594" width_o="800" height_o="594" data-src="https://freight.cargo.site/t/original/i/b9ba8b836048e1ccaa4a2b8538ef844e342dca852dd4bae29a4265d910510759/frederick-kiesler-frederick-kiesler-an-exhibition-of-architecture-an-800x800.jpg" data-mid="79212076" border="0" src="https://freight.cargo.site/w/800/i/b9ba8b836048e1ccaa4a2b8538ef844e342dca852dd4bae29a4265d910510759/frederick-kiesler-frederick-kiesler-an-exhibition-of-architecture-an-800x800.jpg" /> <img width="1200" height="833" width_o="1200" height_o="833" data-src="https://freight.cargo.site/t/original/i/be0c7faa1a24b14ef00e7d28d52f21646ed365dd88053d93a087e87d211d5fbb/9k566fg26ox6ehid.jpg" data-mid="79212075" border="0" src="https://freight.cargo.site/w/1000/i/be0c7faa1a24b14ef00e7d28d52f21646ed365dd88053d93a087e87d211d5fbb/9k566fg26ox6ehid.jpg" /> https://digiblast.org/5-Vector-Space Sun, 19 Jul 2020 23:09:28 +0000 digiblast.org https://digiblast.org/5-Vector-Space Day 5 - Vector SpaceThe organizational diagram of an attractor network underpins a plethora of analytical and projective models from Maxwell's electromagnetic equations to contemporary attractor multi-dimensional spaces in machine learning. In this class we study the Daxing International Airport by Zaha Hadid Architects. We &nbsp;create a dynamic attractor model that parametrically drives the massing diagram of the terminal. We look at few forms of local differentiation through adaptivity and parametric interaction between objects. This tutorial establishes the foundational concepts for non-linear systems and digital simulations. &nbsp; &nbsp; &nbsp; &nbsp; <img width="2000" height="1601" width_o="2000" height_o="1601" data-src="https://freight.cargo.site/t/original/i/7bdd32c9263c1849a053ce4338280ed25004f8980916617e71a45dc2cec67969/09_ZHA_Beijing_Daxing_Int_Airport_Hufton_Crow.jpg" data-mid="79299852" border="0" src="https://freight.cargo.site/w/1000/i/7bdd32c9263c1849a053ce4338280ed25004f8980916617e71a45dc2cec67969/09_ZHA_Beijing_Daxing_Int_Airport_Hufton_Crow.jpg" /> <img width="1200" height="1484" width_o="1200" height_o="1484" data-src="https://freight.cargo.site/t/original/i/4d33ffd1dd1c0d886ca7fe0ca08cce4ce921fcdbc7d8e0cfc2a54624ca9a2ffb/660b6660863e7d45d4d621015bf3dbdb.jpg" data-mid="79299854" border="0" src="https://freight.cargo.site/w/1000/i/4d33ffd1dd1c0d886ca7fe0ca08cce4ce921fcdbc7d8e0cfc2a54624ca9a2ffb/660b6660863e7d45d4d621015bf3dbdb.jpg" /> https://digiblast.org/6-Simulation-Space Sat, 01 Aug 2020 18:05:08 +0000 digiblast.org https://digiblast.org/6-Simulation-Space Day 6 &nbsp;Simulation Space The mathematical experiments of Henri Poincaré with the non-linear dynamics of the 'Three Body Problem' marks the first clear example of a simulation of a chaotic system. Poincaré had to invent a new type of mathematics and a new way of problem-solving in order to address the unpredictability of the system and its sensitivity to different 'initial conditions'. In the twentieth century, the work of Antoni Gaudi and Frei Otto show how an engineer can use matter as an active ingredient in physical simulations and allow it to participate in the process of formation. With the advances on modern computation, simulation has become a common place for any analytical and predictive model. In our tutorial we will use the physics engine Kangaroo in Grasshopper to setup a catenary model based on the massing of the TWA terminal we modeled in day 3. During our second tutorial we will introduce Millipede, in order to produce a structural analysis diagram for the roofscape of Daxing Airport Terminal from Day 5. For additional resources on Kangaroo for Grasshopper, check out the following links: http://kangaroo3d.com/ For Example files: https://www.grasshopper3d.com/group/kangaroo/page/kangaroo2-additional-examples https://github.com/Dan-Piker/Kangaroo-examples http://mkmra2.blogspot.com/2018/11/kangaroo-2.html For Millipede, please visit: https://www.grasshopper3d.com/group/millipede <img width="728" height="477" width_o="728" height_o="477" data-src="https://freight.cargo.site/t/original/i/34c4b4ccd9c7848aa0dd378bc5c4109678aac053a57dfc860a7e1ccd6b238066/Frei-Otto-Precedents.jpg" data-mid="79476652" border="0" src="https://freight.cargo.site/w/728/i/34c4b4ccd9c7848aa0dd378bc5c4109678aac053a57dfc860a7e1ccd6b238066/Frei-Otto-Precedents.jpg" /> <img width="800" height="1006" width_o="800" height_o="1006" data-src="https://freight.cargo.site/t/original/i/052730c5edff6cc86c55c08bcf650edd06b50e4a5a5d97e40d0719477dad0169/3da7b784d5e8d529f23152b348091a9e.jpg" data-mid="79476653" border="0" src="https://freight.cargo.site/w/800/i/052730c5edff6cc86c55c08bcf650edd06b50e4a5a5d97e40d0719477dad0169/3da7b784d5e8d529f23152b348091a9e.jpg" /> https://digiblast.org/7-Voxel-Space Sat, 01 Aug 2020 18:05:11 +0000 digiblast.org https://digiblast.org/7-Voxel-Space Day 7 Voxel Space In our last day, we will explore Voxel space, which is Discrete and potentially wildly Diverse and Multiple. Building upon concepts from different thinkers, from Leibniz's 'Monads', to Von Neumann's 'Cellular Automata', to 'Evolutionary Structural Optimization' and to our most familiar 'Raster Graphics', Voxels challenge many preconceived notions of an architectural representation. During the last decade we have witnessed an exponential evolution of graphics hardware as well as multi material rapid prototyping techniques, which has allowed for the development of novel hybrid geometries with embedded three dimensional raster data. This is probably just the beginning and we expect that voxel space will continue to be augmented with Machine Learning and Big Data. In our tutorials we create a voxel model of the Endless House by Kiesler in Monolith for Grasshopper. As an introduction to structural morphogenesis, we explore the potential of Millipede to compute an evolutionary structural optimization in order to draw a new structural model for the base of the house.