CONTENTS
Foreword 7
Introduction - What's Grasshopper 11
1. What's an algorithm 15
1.1. Algorithms 15
2. The very beginning 19
1. Installation 19
2. User interface 19
Components' panel 21
Working area (canvas) 22
3. Components and data 24
Data's local definition 24
Components' direct connection 26
Parameters and components 30
Working status showed with different colours 31
Direct import from Rhino 34
4. Data matching 35
5. Parametric control. Remote Control Panel 38
6. Algorithms' save and conversion 40
Save 40
Bake: algorithms' conversion in models for Rhino 40
7. Display and control 41
Draw Fancy Wires 41
Draw Icons 42
Enable/Disable Preview 42
Enable/Disable Selection 43
Navigate/Views 43
Focus 44
Hidden display 45
Cluster 46
3. Mathematical and logical functions 49
1. Mathematics 49
2. Mathematics and Grasshopper 49
3. Numerical sequences 51
Series - Numerical sequence 52
Range 54
Random - random numbers 55
Fibonacci series 55
3.4. Mathematical functions 56
Component function Fl (x) 56
Component Function F2(x,yj 59
5. Logical functions: Boolean operators 61
6. Exclusion lists and filters 63
List Item 64
List Length 65
Reverse List 65
Shift List 65
Split List * 66
Cull Nth 67
Cull Pattern 68
Dispatch 70
4. Curves and surfaces 71
1. Representations 71
2. Theoretical outlines 71
Parametric representation ol a curve 71
The notion or curvature: plane curves 73
Surface's curvature 73
Isocurves 75
3. Curve analysis in Grasshopper 76
Evaluate Curve 76
Curvature 79
Curvature Graph 80
4. Surfaces' analysis in Grasshopper 80
Divide Surface 80
Evaluate Surface 81
Principal Curvature 82
Surface Curvature 82
Isotrim (SubSrf) - Extract an isoparametric subset of a surface 84
5. Transformations 89
1. Geometrical transformations 89
Classifications 89
2. Transformations with shape preservation 90
Vectors 90
Translations: Move 91
Rotations: Rotate Axis 92
Rotations: Rotate 93
Orient 94
3. Transformations with shape variation 95
Resizing: Scale 95
Graph Mapper 98
Deformations: Morphing 1 00
4. Paneling 102
5. Image Sampler 111
6. Exercise: Turning Torso 115
1. Introduction 115
2. Turning Torso 116
3. Steps 116
Collecting information about the building 1 16
Definition of the typical plan 117
Transformation of floors 11 8
Simplified modeling of the envelope 1 21
Modeling of the detail of the exterior surface 1 23
7. Data Tree 129
1. Concepts 129
2. Display 132
3. Components 134
Flatten Tree 134
Merge 138
Graft Tree 140
Tree Branch 143
Explode Tree 144
Path Mapper 145
4. Lexical rules 151
8. Attractors 161
8.1. Definitions 161
Attractor point 161
Attractor curve 1 64
9. Mesh 167
1. NURBS and polygonal surfaces 167
2. Mesh 170
Topology 170
3. Triangulations 173
Delaunay 174
Voronoi 176
4. Approximation 177
5. Subdivision 178
Subdivision surfaces with the Loop's method 179
Subdivision surfaces with Catmull-Clark's method 1 84
10. Fabrication 185
1. Project and fabrication 185
2. Matters of scale 186
3. Two case histories 188
4. Exercise: modeling a complex covering 191
Covering components' fabrication 191
Production of structural elements 194
5. Conclusions 204
Bibliography 205
Publications 205
Web references 206