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1. Rafael Guastavino 1.1. Life in Spain Raphael Guastavino was born in Valencia Spain in 1842 into a family with a long history of hard working craftsman. He studied in Catalonia earning the title “Master of works” or “master builder”. Guastavino’s influences include but are not limited to, the Catalonian vaults, his uncle’s textile manufacturing plant, and an early job with the Inspector of Public Works in Valencia. He gained notoriety for his design of a Factory in Batllo Spain, where he spanned a factory floor with his signature vaulted designs. His practice was mostly in Barcelona until he made a sudden decision to leave, his home country for a new life in the United States.
Figure 1.1 A portrait of Rafael Guastivino Sr.
Figure 1.2 A patent Guastavino tile
Figure 1.3 A Guastavino tile vaulted ceiling
1.2. Arrival in the U.S. Ironically, Rafael Guastavino the Spanish immigrant was commissioned to design the vault of the central intake building on Ellis Island, the first building immigrants would see upon entering the United States. The building’s design was intended to inspire awe.
Figure 1.4 Interior of Ellis Island showcasing the Guastavino tile vault [images © Guastavino/Collins Collection at Avery Library, Columbia University]
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2. Tile Vaulting 2.1. History of the Tile Vault The Traditional Arch vault is built using formwork for structural support during construction and leaves a circular shaped curve. This technique also requires a much thicker brick to ensure stability. As shown below, the Guastavino style leaves a much thinner sectional thickness. The implementation of different tiling patterns not only gave a new strength to the Guastavino vaults, but also gave a beautiful custom mosaic pattern to be boasted in the interior of the building.
Figure 2.1 Diagram comparing traditional brick vault and the tile vault
Figure 2.2 Variation of Guastavino tile Paterrning
Figure 2.3 Diagram comparing traditional brick vault [images Š Guastavino/Collins Collection at Avery Library, Columbia University]
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3. Major Projects 3.1. Boston Public Library A tumultuous domestic life led to Guastavino immigrating to the United States in 1881. His works in the States were inumerable and began with the Boston Public Library. The search for safe practices in construction techniques eventually led to his style being obsolete served as an avenue to gain attention in the states. This growing concern for safety allowed Guastavino to take advantage of his masonry vaults to emphasize the resistance to damage due to fire.
Figure 3.1 Diagram indicating the locations of Guastavino Vaults in NYC
[images © Guastavino Bienalle]
Figure 3.2 Guastavino standing on an arch of the Boston Public Library in construction [image © Guastavino/Collins Collection at Avery Library, Columbia University]
Figure 3.3 Interior vaulted ceiling of the Boston Public Library [image © Michael Freeman]
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Figure 3.4 Diagram illustration how to layer guastavino tile [image Š Guastavino/Collins Collection at Avery Library, Columbia University]
Figure 3.6 Detail of Guastavino tile vault
Figure 3.5 Detail of Guastavino tile vault
Figure 3.7 Detail of Guastavino tile vault
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3.2. The Oyster Bar Another great work of Guastavino is the subterranean Oyster Bar in Grand Central Station, in New York City. This example of his vaulting ceiling structure proved itself by withstanding a kitchen fire that occurred in 1997. The fire merely damaged a small number of tiles and did not degrade the vaults structurally. The restaurant reopened shortly after cleaning the destroyed interior.
Figure 3.8 Interior of the Oyster Bar [image Š Michael Freeman]
3.3. Queensboro Bridge Arcade A notable achievement of Guastavino was the collaboration with American Architect, Henry Hornbostel, where he designed the vaulting arcade to host a lively market beneath the approach to the Queensboro Bridge. This explosive celebration of form proves to bring life and attract business to the Bridgemarket.
Figure 3.9 Queensboro Bridge Arcade
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[image Š Michael Freeman]
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3.4. Subway Station NYC The City Hall Subway Station in NYC is the end of what used to be New York’s first subway line. In the space, Guastavino uses repeating arches, domes and skylights to make the design of the station as inviting as possible. The station was the first project to utilize custom tiles made from the Guastavino Tile Company.
Figure 3.10 NYC City Hall Subway Station
[image © Michael Freeman]
3.5. St. John the Divine Cathedral During construction Guastavino convinced the architects that he could build the dome the architects want under budget and in a short amount of time. Using Guastavino tiling, the dome was constructed in only 14 weeks. The shell itself is only 4 inches thick yet spans over 120 feet.
Figure 3.11 St. John Catherdral under construction
Figure 3.12 St. John Catherdral under construction [images © Guastavino/Collins Collection at Avery Library, Columbia University]
Figure 3.13 Interior of St. Johns Cathedral [image © St. John the Divine Cathedral]
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Figure 4.1 Generic Detail of a Guastavino Dome [image Š Guastavino/Collins Collection at Avery Library, Columbia University]
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4. Innovation 4.1. Patents In its lifetime, the Cuastavino Tile Company obtained 24 patents. The patents include designs for fireproof cohesive construction, stairs utilizing the catalan vault as structure, specialized tiles, and even a kiln to make guastavino tiles.
Figure 4.2 Patent Drawings of the Guastavino Tile Co. [images Š Guastavino/Collins Collection at Avery Library, Columbia University]
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4.2. Staircases Though smaller in scale than the large domes, Guastavino spiral vaulted staircases present an additional category of structural achievement. The main staircase of Baker Hall at Carnegie Mellon University is constructed with a 4-inch thick shell of masonry spiraling in three dimensions. The load-bearing masonry structure is made of ceramic tiles and does not contain reinforcing steel. Calculating the ultimate load capacity of the structure is extremely difficult even today. The Guastavino Company conducted many successful load tests, and the survival of the stair for the last century is proof of its adequate load capacity.
Figure 4.3 Staircase in Baker Hall at Carnegie Mellon University [image © Michael Freeman]
Figure 4.2 Spiral staircase in St. John Cathedral [image © Michael Freeman]
Figure 4.4 Diagram of Guastavino vaulted.staircase [image © Guastavino/Collins Collection at Avery Library, Columbia University]
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5. Legacy 5.1. Research & Student Work Today the influence of Guastavino still permeates in the design and construction world. Researchers and students are finding new ways to push the limits of guastavino tiling. Using digital design tools like Rhino and Grasshopper, designers today have the ability to design, build, and test vaults not even Guastavino could dream of. Teams like the Block Research Group are on the forefront of the resurgence of guastavino tile design.
Figure 5.1 Model of a BRG project [images Š Block Research Group, Institute of Technology in Architecture, ETH Zurich, Switzerland]
Figure 5.2 Force diagram. of a BDR project
Figure 5.3 A vaulted tile installation by BDR
Figure 5.4 Diagram of Support structure used by BDR
Figure 5.5 Vaulted tile installation by BDR
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1. Pneumatic Shell Structures 1.1. Historical Precedents: Frei Otto To begin our investigation into pneumatic systems we looked to Frei Otto’s own investigation with these systems. Looking through the trove of models and imagery we found that Otto utilized two techniques to deform the surfaces the inflations created. Otto deformed these surface by creating dimples and creases to design the shell as well as to increase efficinecies with in the structure.
Figure 1.1 A portrait of Rafael Guastivino Sr.
Figure 1.2 A patent Guastavino tile
Figure 1.3 A Guastavino tile vaulted ceiling
1.2. Arrival in the U.S.
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2. Pneumatic Form Finding: Restrained Inflation 2.1. Restrained Inflated Spheres
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3. Framed Inflation 3.1. Square Frame + Latex
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3.2. Diamond Cutout + Latex
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3.3. Bubble Cutout + Latex
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3.4. Hexagonal Cutout + Latex
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4. Framed Inflation with Dimples 4.1. Square Frame + Dimples
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4.2. Bubble Frame + Dimples
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4.3. Tessalating Pentagonal Frame + Scaling Dimples
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5. Framed Inflation with Creases 5.1. Rectilinear Frame + Creases
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6. Dueling Inflation 6.1. Double sided Square Frame + Dimples
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7. Capturing Pneumatic Form 7.1. Casting Technique + Mixture
+ 1 part
+
= 1 part
2 parts
= 1 part
7.2. Casting Technique + Bladder System
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7.3. Casting Technique + Back pressure
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8. Solid Mass 8.1. First Solid Plaster Cast
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8.2. Symmetrical Dimple Plaster Cast
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8.3. Asymmetrical Dimple Plaster Cast
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9. Vacuum-Formed Shell 9.1. Asymmetrical Dimple Shell
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9.2. Symmetrical Dimple Shell
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10. Slip-Casting 10.1. Plaster Negative of Symmetrical Dimple Shell
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Instructor: Yasushi Ishida
Subject: Pneumatics + RhinoVault
Students: Samuel Lewis & Eric Giragosian
1. Physical Form Finding We began our investigation into pneumatic systems looking into to Frei Otto’s own investigation with these systems. Looking through the trove of models and imagery we found that Otto utilized two techniques to deform the surfaces the inflations created. Otto deformed these surface by creating dimples and creases to design the shell as well as to increase efficinecies with in the structure.
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2. Digital Form Finding To simulate our inflated forms we took advantage of Kangaroos physics parameters. The definition requires a mesh and anchor points to inflate the surfaces. The definition utilizes sliders to change pressure level and surface tension.
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2.1. Inflated Frames
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2.2. Inflated Frames + Dimples
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2.2. Inflated Frames + Dimples
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2.3. Inflated Tesselation frame + Varying Dimples
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2.4. Folded Inflated Frame + Polygonal Dimples
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2.5. Restrained Inflated Frames
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2.6. Inflated Three Dimensional Form
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2.7. Comparing Physical and Digital Forms To verify the accuracy of our inflation script we digitally scanned with 123D Catch, a plaster casting of one of our analog studies. The results seen above illustrate that there are certain discrepancies between the forms. The most noticable difference comes with the center of the digitally inflated form being considerably taller than its physical counterpart.
1. Digital Inflation
2. Scanned Plaster Casting
3. Digital vs. Physical
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3. Funicular Form Finding w/ RhinoVault 3.1. Rhino vault Process
1. Base Surface
2. Generated Form Diagram
3. Generated Force Diagram
4. Relaxed Form Diagram
5. Relaxed Force Diagram
6. Resulting Vault
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3.2. Modifing Form Diagrams
1. Base Surface
2. Generated Form Diagram
3. Generated Force Diagram
4. Modified Form Diagram
5. Modified Force Diagram
6. Resulting Modified Vault
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3.3. Vault 1
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3.4. Vault 2
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3.5. Vault 3
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3.6. Vault 4
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3.7. Vault 5 w/ Variations
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4. Vossiour Tilling on Funicular Forms 4.1. Designing Vaulted Forms with Inflated Tiles
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4.2. Extracting Quads from Triangular Meshes #The RhinoVault plug-in extends RhinoScript/IronPython with new objects #and methods to permit users to create elaborate scripts for this plug-in. #The following examples show how to call these RhinoVault-specific methods. import Rhino import rhinoscriptsyntax as rs RhinoVault = Rhino.RhinoApp.GetPlugInObject(“RhinoVault_Solver”) “””This module ... .. Copyright 2014 BLOCK Research Group Licensed under the Apache License, Version 2.0 (the “License”); you may not use this file except in compliance with the License. You may obtain a copy of the License at `http://www.apache.org/licenses/LICENSE-2.0`_
“””
Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an “AS IS” BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.
__author__ = [‘Matthias Rippmann’,] __copyright__ = ‘Copyright 2014, BLOCK Research Group - ETH Zurich’ __license__ = ‘Apache License, Version 2.0’ __version__ = ‘0.1’ __email__ = ‘rippmann@arch.ethz.ch’ __status__ = ‘Development’ __date__ = ‘Dec 18, 2014’ __contact__ = “””ETH Zurich, Institute for Technology in Architecture, BLOCK Research Group, Stefano-Franscini-Platz 5, HIL H 47, 8093 Zurich, Switzerland “”” #This python script component collects data using the PlugInObject “RhinoVault_ Solver”. RhinoVault = Rhino.RhinoApp.GetPlugInObject(“RhinoVault_Solver”) rs.EnableRedraw(False) #Vault Coordinates vault_coords = list(RhinoVault.get_vault_coords()) counter1 = 0 for pt in vault_coords: # rs.AddSphere(pt,0.1) # rs.AddTextDot(counter1,pt) counter1 += 1
#------------------------------------------------#Form Edge Adjacent Nodes #form_edge_adj_nodes = list(RhinoVault.get_form_edges_adjacent_nodes()) #for edge_indices in form_edge_adj_nodes: # line = rs.AddLine(vault_coords[edge_indices[0]],vault_coords[edge_indices[1]]) # rs.AddPipe(line,0,0.05) #------------------------------------------------#Face Barycenters faces_barycenter = list(RhinoVault.get_faces_barycenter()) counter2 = 0 #rs.AddPoints(faces_barycenter) for pt in faces_barycenter: # td = rs.AddTextDot(counter2,pt) # rs.ObjectColor(td,[255,0,0]) counter2 += 1 faces_nodes = list(RhinoVault.get_form_faces_adjacent_nodes()) counterz = 0 for zzz in faces_nodes: #pline = rs.AddPolyline(vault_coords[zzz]) print(zzz) newList = [] for z in zzz: print(z) newList.append(vault_coords[z]) rs.AddSrfPt(newList) # print(zzz[1]) # print(vault_coords[counterz]) counterz += 1 # line = rs.AddLine(vault_coords[zzz[0]],vault_coords[zzz[1]]) # rs.AddPolyline([vault_coords[zzz[0]],vault_coords[zzz[1]],vault_coords[zzz[2]]]) # newList = [] # for pt1 in vault_coords[zzz]: # newList.append(pt1) # rs.AddPolyline(newList) #for j in range(len(faces_nodes)): # print(faces_nodes[j]) # rs.AddPolyline(vault_coords(faces_nodes[j])) #------------------------------------------------#Face Normals form_faces_normal = list(RhinoVault.get_form_faces_normal()) for i in range(len(form_faces_normal)): rs.AddLine(faces_barycenter[i],rs.AddPoint(rs.VectorAdd(faces_barycenter[i],form_ faces_normal[i]))) #------------------------------------------------rs.EnableRedraw(True) “”” All available API functions:
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4.3. Force Flow
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Subject: Pneumatics + Stereotomy
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1. Designing with RhinoVault 1.0. Workflow Continuing our investigation of vaulting shell structures and pneumatics, the next phase of this project focused on refining the toolset we created in Part 2 in order to design architectural spaces. The diagram below lays out the workflow we implemented to achieve the final project. Through the course of this phase we designed vaulted shell structures, rationalized the vault through panelization, and created stereotomic bricks to construct a self supporting shell. Digital Design
Fabrication
Assembly
Vault
Stereotomic Bricks
Proof of Concept To 3D Printer
Site
MDF Framework To CNC Mill
Digital Inflation
Vault
Foam Relief
Cast Site in Hydrocal
3D print Individual bricks
Final Model
To CNC Mill
Stereotomic Panelization
Inflation To 3D Printer
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1.1. Panelizing Vaults Following the work of the Block Research Group, we looked to design vaulted shells through RhinoVault. We began by designing a relativley simple vault to rationalize through Grasshopper. The diagrams below illustrate this process. The original vault is created and then simplified into a single surface. Through the use of several grasshopper scripts we we able to panelize the shell with a hex pattern as well as planarize the panels. Remembering that we had to take into account construction cost and time we decided to limit the amount of panels that comprise the vault.
Fig. 1: Initial Vault
Fig. 2: Polysurface Vault
Fig. 3: Single Surface Vault
Fig. 4: Dense Hex Panel
Fig. 5: Sparse Hex Panel 222
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1.2. Complex Vaults
Fig. 1: Complex Vault 1
Fig. 2: Complex Vault 2
Fig. 3: Planar Hex Script
Fig. 4: Stereotomic Brick Vault 223
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1.3. Proof of Concept Realizing that our intention to planarize a more complex vault would not work, we decided to move forward anyway to test our construction concept. We chose five bricks to fabricate utilizing the panelized vault that did succeed. The first idea we tested took the beveled faces and cut them out with a laser cutter and reassemble them into their intended shapes. The ribs were held together by wafers to keep the correct angles of the hexagons as well as provide structual support. Unfortunatly this fabrication technique did not work.
This failure led us to revaulate our fabrication method. The method we decided to move forward with was to construct solid forms. This isnt the most material efficient method however it does directly call back to the stereotomic bricks used in Baroque architecture.
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1.4. Stereotomy Stereotomy is the set of geometrical knowledge and techniques of drawing and cutting the blocks of stone and their assembly into complex structures. Stereotomy represents an alternative to building techniques based on the use of small pieces of stone or brick, which make up the complex geometry structures and sometimes due to its small size and joints.
Fig. 1: Extruded Brick
Fig. 2: Stereotomic Brick
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1.5. Proof of Concept Model
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1. Designing with RhinoVault 1.0. Workflow Continuing our investigation of vaulting shell structures and pneumatics, the next phase of this project focused on refining the toolset we created in Part 2 in order to design architectural spaces. The diagram below lays out the workflow we implemented to achieve the final project. Through the course of this phase we designed vaulted shell structures, rationalized the vault through panelization, and created stereotomic bricks to construct a self supporting shell. Digital Design
Fabrication
Assembly
Vault
Stereotomic Bricks
Proof of Concept To 3D Printer
Site
MDF Framework To CNC Mill
Digital Inflation
Vault
Foam Relief
Cast Site in Hydrocal
3D print Individual bricks
Final Model
To CNC Mill
Stereotomic Panelization
Inflation To 3D Printer
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2. Site 2.0. Site Generation
Fig. 1: Inflation Script
Fig. 2: Wave Field by Maya Lynn
Fig. 3: Final Site 228
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3. Vault 3.0. Grasshopper Script
Fig. 1: Script of Final Scheme
Fig. 2: Rendering of Final Scheme
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Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
3.1. Vault Design
Fig. 1: Initial Surface
Fig. 2: Hex Pattern
Fig. 3: Anchor Points 230
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
3.2. Vault Rationalization
Fig. 4: Vaulted Hex Pattern
Fig. 5: Individualized Hex Meshes
Fig. 6: Stereotomic Panels 231
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
3.3. Vault Surface Inflation
Fig. 7: Force Stress Diagram
Fig. 8: Dimples Arrayed on Panels
Fig. 9: Inflated Panels 232
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
3.4. Voussoirs and Surface Normals
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
1. Designing with RhinoVault 1.0. Workflow Continuing our investigation of vaulting shell structures and pneumatics, the next phase of this project focused on refining the toolset we created in Part 2 in order to design architectural spaces. The diagram below lays out the workflow we implemented to achieve the final project. Through the course of this phase we designed vaulted shell structures, rationalized the vault through panelization, and created stereotomic bricks to construct a self supporting shell. Digital Design
Fabrication
Assembly
Vault
Stereotomic Bricks
Proof of Concept To 3D Printer
Site
MDF Framework To CNC Mill
Digital Inflation
Vault
Foam Relief
Cast Site in Hydrocal
3D print Individual bricks
Final Model
To CNC Mill
Stereotomic Panelization
Inflation To 3D Printer
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
4. Model Fabrication 4.0. Tile Organization
Fig. 1: Completed Vault
A
D
B
E
C
Fig. 2: Segmented Vault 235
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
4.1. Tile Organization A
B
C
D
E
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
4.2. Vault Assembly
237
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
4.3. Site Fabrication
Fig. 1: Diagram of Formwork for Site 238
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
4.3. Failed Cast
Fig. 1: Failed Site Model
Fig. 2: Digital Site 239
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
4.3. Successful Cast & Final Model
Fig. 1: Successful Site Model
Fig. 2: Final Model 240
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
1. Designing with RhinoVault 1.0. Workflow Continuing our investigation of vaulting shell structures and pneumatics, the next phase of this project focused on refining the toolset we created in Part 2 in order to design architectural spaces. The diagram below lays out the workflow we implemented to achieve the final project. Through the course of this phase we designed vaulted shell structures, rationalized the vault through panelization, and created stereotomic bricks to construct a self supporting shell. Digital Design
Fabrication
Assembly
Vault
Stereotomic Bricks
Proof of Concept To 3D Printer
Site
MDF Framework To CNC Mill
Digital Inflation
Vault
Foam Relief
Cast Site in Hydrocal
3D print Individual bricks
Final Model
To CNC Mill
Stereotomic Panelization
Inflation To 3D Printer
241
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
5. Possible Uses 5.0. Renderings
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
5.1. Renderings
243
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
5.2. Final Model Photos
244
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
5.3. Final Model Photos
245
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
5.4. Final Model Photos
246
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
5.5. Final Model Photos
247
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ARCH 491: Studio 5A
Part 3: Design & Installation
Instructor: Yasushi Ishida
Subject: Pneumatics + Stereotomy
Students: Samuel Lewis & Eric Giragosian
5.6. Rendering
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