Advances in Architectural Geometry 2010

Cover......Page 1
Advances in Architectural\rGeometry 2010......Page 3
ISBN 9783709103081......Page 4
Foreword......Page 6
Table of Contents\r......Page 9
1. The Master-Builder-Geometer......Page 10
1 Introduction......Page 16
1.1 Tangible User Interface for Architectural Design......Page 17
1.3 Overview......Page 18
2.2 Sketch Recognition......Page 19
2.4 Gestalt Theory and Sketch Interpretation......Page 20
3.1 Image Pre-Processing......Page 21
3.2 Intended Parallel, Perpendicular, and Collinear Elements......Page 22
3.4 Arrangement of Cells and Enclosure......Page 23
3.5 Assigning Interior and Exterior Zones......Page 25
3.6 Detecting Inferred Interior Walls and Trimming Unused Walls......Page 27
4 Validation of Physical Sketch Interpretation Environment......Page 28
4.2 Re-Interpretation Study to Quantify Design Ambiguities......Page 29
4.3 Validation Results: Subjective Feedback......Page 31
5 Conclusion and Future Work......Page 32
References......Page 33
3. Lamella Flock......Page 38
1 Non-Linear Processes in Architectural Design......Page 39
2 Zollinger – A Lamella Wood System......Page 40
3 Free Form Wood Structures and Previous Experience......Page 41
5 An Outline of Self-Organization......Page 42
6 The generated lamella system, structure and behaviour......Page 43
7 A hybrid system......Page 44
8 Implementation......Page 46
9 Conclusion......Page 47
References......Page 48
4. Case Studies in Cost-Optimized Paneling of Architectural\rFreeform Surfaces......Page 50
Related Work......Page 52
2 Panels and Fabrication......Page 55
3.1 Problem Specification......Page 57
3.2 Paneling Algorithm......Page 59
4.1 Sharp Features......Page 62
4.2 Adaptive Control of Paneling Quality......Page 63
5.2 Skipper Library......Page 65
6 Discussion......Page 66
Acknowledgments......Page 72
References......Page 73
1 Introduction......Page 74
2.1 Design by Parallel Transport.......Page 77
3 Panels from Curve Patterns.......Page 78
3.1 Panels with Pure Bending: the Tangent Developable Method.......Page 80
3.2 The Binormal Method.......Page 83
4 Stress and Strain in Panels.......Page 84
5 Conclusion.......Page 86
References......Page 87
1 Introduction......Page 88
2 Geometry of Rigid-Foldable Quadrilateral Mesh Disk......Page 90
2.1 Generalized Miura-ori......Page 91
2.2 Generalized Eggbox Pattern......Page 92
2.3 Hybrid Surface: Bidirectionally Flat-foldable Planar Quadrilateral Mesh......Page 93
3 Design Variations of Rigid Foldable Surface......Page 95
4 Rigid Foldable Cylinder......Page 96
5 Materialization......Page 99
6 Conclusion......Page 101
References......Page 103
1 Introduction......Page 104
2 Geometry generation......Page 105
2.1 Geometric principles......Page 106
3 Geometry refinement for fabrication......Page 108
Acknowledgements......Page 112
1 Introduction......Page 114
2 Towards Teaching......Page 115
3.1 Model One......Page 116
3.2 Model Two......Page 119
3.3 Model Three......Page 123
4.1 Mathematic Form-Finding......Page 126
4.2 Global Logics......Page 127
4.3 Component Logics......Page 128
References......Page 129
1 Introduction......Page 130
2 Current Practice......Page 131
4 Tool in Action......Page 132
4.1 Parametric Model......Page 133
4.2 Analysis and Inspection......Page 134
4.3 Visualization of Data......Page 135
References......Page 136
1 Introduction......Page 138
3 The wiggled bond......Page 139
4 The primary layer......Page 140
4.1 The distance map......Page 141
4.2 The double exponent of interpolation......Page 142
4.3 Solving the boundary condition for the primary layer on a curve......Page 143
5 The Secondary Layer......Page 145
5.2 Resolving intersection by rotation around the outer corners......Page 146
6 Conclusions......Page 147
References......Page 148
1 Introduction......Page 150
2 Definition of a geodesic dome......Page 152
3 Construction of an Abeille’s bond......Page 153
4 Mechanical computations......Page 155
5 Fabrication information output......Page 158
6 Conclusion......Page 159
References......Page 160
1 Introduction......Page 164
2 STRUCTURE......Page 165
2.1 Whole Dome......Page 166
2.3 Modules......Page 167
2.4 Bars and Knots......Page 168
3.1 Cladding Data......Page 172
3.2 Cladding Tile Production and Assembly......Page 173
References......Page 175
1 Introduction......Page 176
2 Background and Related Work......Page 177
3.1 Vasarely style Ortho-Pictures......Page 181
3.2 Ortho-Pictures from two 2D Images......Page 182
3.3 Possible extensions......Page 185
4 Conclusions......Page 192
References......Page 193
14. Geometry of Structural Form......Page 194
1 Introduction......Page 195
2 Graphic Statics and Reciprocal Diagrams......Page 196
3 Geometry of an Efficient Truss......Page 197
4 Invariants in Force-Flow and Structural Classification......Page 199
5 Parametric Model of an Efficient Freeform Roof Structure......Page 201
6 Conclusion and Future Work......Page 202
References......Page 203
15. Realizing Formal and Funcional Complexity for Structurally Dynamic\rSystems in Rapid Computational Means......Page 206
1 Introduction......Page 207
2 Topology – Material Distinction in Computation......Page 209
3 From Anticlastic to Minimal Surface......Page 213
4 Advanced Complexity – the Deep Surface......Page 217
5 Conclusion......Page 219
References......Page 221
1.2 Outline of the Proposed Method......Page 222
1.3 RelatedWork......Page 224
2.1 Thin-Shell Model......Page 225
2.2 Implementation Issues......Page 226
3 PQ Meshing Step......Page 228
3.1 Level Set Method and Quad Meshing......Page 229
3.2 Planarization......Page 231
4 Results......Page 232
4.2 Neumuenster Abbey Court Roof Study......Page 233
5 Conclusion......Page 234
Acknowledgments......Page 235
References......Page 236
List of Contributors......Page 238