STUDIO AIR
SEMESTER 1 2015, CHEN CANHUI OLIVIA GUDE 641636
Part A Algorithm Journal
Algorithmic Sketchbook
Table of Contents Week 1
1.01 Lofting & State Capture
4-11
1.02 Triangulation Algorithms
12-13
1.03 Dimensional Voronoi
14-17
1.04 3 Dimensional Oct. Tree
18-21
Delaunay Experiment
22-23
Week 2 2.01 Mesh Geometry
24-29
2.02 Curve Menu
30-35
2.03 Transform
36-43
2.04 Contour & Sectioning
44-47
2.05 Curve Intersections
48-59
2.06 Driftwood Surface
60-61
Week 3 3.01 Creating a Gridshell
62-67
3.02 Patterning List
68-69
3.03 Rutten Webinar
70-71
1.01 Lofting & State Capture
The following iterations are created as either open of closed curves and lofted in Grasshopper. The spatial qualities of each iteration type responds to layering and folding. By rebuilding and manipulating the control points in Rhino, I have alternated a pulling and pushing motion along the edges to create a flowing like gesture to iteration type B in particular. Iteration C focuses upon layering more so. Iteration A was the first curve that I practiced and experimented with to see how the pushing / pulling of the control points would look when starting with a relatively smooth surface. Iteration B started as a flat surface, where I had manipulated the control points to create undulating surface, which eventually concluded to a folding like surface. Iteration C started as an underlating surface which eventually overlapped.
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FIG.1: ITERATION TYPE A
FIG.1: ITERATION TYPE B
FIG.1: ITERATION TYPE C
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1.02 Triangulation Algorithms 2 Dimensional
Triangluation algorithms required numerical inputs as points (As seen as crosses in the following figures). The 2D frames depict the Voronoi, Delaunay and Meta Ball formations that a created. The threshold component changes the formations and density of each patterning, which is a useful component to customize meshing.
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1.03 Dimensional Voronoi
By using a three-dimensional form, I have applied Voronoi to subject in order to determine how triangulation forms around the geomtery. The resulting polysurface expresses a cratered like conglomerate caused by the varied density and distribution of points.
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1.04
3 Dimensional Oc Tree
By controlling the seed for insertion, point count and square leaves I was able to understand how this might configure the form of a cubed Oc Tree formation, despite the incorrect outcome.
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1.05 Delaunay Experiment
The triangulation method in this case did not succeed, due to the nature of my selected surface from week 1. The triangulation has attempted to form around the actual shape, as opposed to within the structure of the shape. I was however able to understand how the triangles form as a structure, creating the nearest possible connections to each point depending upon the count and seed.
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2.01 Mesh Geometry
The creation of a mesh geomtry was started through referencing a Brep in grasshopper. The chosen brep was intentionally sharp edged in order to see a distinctive change of mesh smoothness whilst the brep was forming into an organic geometry. This effect resembles similar notions to the decomposition of organic food for example.
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2.02
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Curve Menu
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2.03 Transform
The transform method included using a shaped created during Week 1 and applying to the algorithm in order to produce the following outcomes. The images displayed on page page 38 and 39, depict the result of ‘Piping’, intrestingly it atempted to form around the three-dimensional box as seen within the image below.
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A mesh configuration as a result of morphing.
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2.04 Contour & Sectioning
I included a ‘Piping’ component in this algorithm for an interesting outcome, as may been seen. The ‘Sectioning’ part did not appear to work as effectively with my shape, possibly due to its topography like shape.
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2.05 Curve Intersections
By translating the sphere into a cone, I have referenced another shape in order to create a different outcome. The change of radius and offset has resulted in various outcomes.
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2.06 Driftwood Surface
By inserting in a gradual curve I was able to extrude the contours of the given shape.
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3.01 Creating a Grid Shell
62
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Surface Count: 8
Surface Count: 58
The Gridshell technique was applied to the following shape, the surface count and shift number was changed accordingly to manipulate the surface pattern. Surface Count: 30 64
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Surface Count: 100 CONCEPTUALISATION 65
Surface Count: 0
Surface Count: 100
Surface Count: 10
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3.02 Patterning List
By manipulating the U and V sequence and cull pattern a variety of patterns were created.
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3.03 Rutten Webinar
By manipulating the X,Y cull pattern and circle radius the outcome was able vary in contrast and density as a result.
Twiggy Portrait
Union Jack 70
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STUDIO
Algorithmic Sketchbook
Table of Contents Week 1
Lofting & State Capture Triangulation Algorithms: 2d 3d Delaunay Experiment
Week 2
Mesh Geometry
Week 3
1-4
Week 1 Lofting & State Capture
Explain iterations - discuss spatial qualities How I /rebuild/ and changed points scheme
FIG.1: (EXPLAIN HERE & REFERENCE AT THE END OF YOUR DOCUMENT)
Triangulation Algorithms 2 Dimensional
Inputs are points Various distribution 2D Voronoi Delaunay Meta Ball
3 Dimensional Voronoi
By using a three-dimensional form, I have applied Voronoi to subject in order to determine how triangulation forms around the geomtery. The resulting polysurface expresses a cratered like conglomerate caused by the varied density and distribution of points.
3 Dimensional Oc Tree
Controlling the seed for insertion, point count and square leaves to understand how this might configure the form of an cubed Oc Tree formation.
Delaunay Experiment
Week 2 Mesh Geometry