part a algorithmic journal

STUDIO AIR

SEMESTER 1 2015, CHEN CANHUIOLIVIA GUDE641636

Part A Algorithm Journal

Table ofContents

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

AlgorithmicSketchbook

4 CONCEPTUALISATION CONCEPTUALISATION 5

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.

1.01 Lofting & State Capture

FIG.1: ITERATION TYPE A FIG.1: ITERATION TYPE B FIG.1: ITERATION TYPE C

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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.

1.02 Triangulation Algorithms 2 Dimensional

14 CONCEPTUALISATION CONCEPTUALISATION 15

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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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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1.04 3 Dimensional Oc Tree

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The triangulation method in this case did not succeed, due to the nature of my selected surface from week 1. The trian-gulation 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 de-pending upon the count and seed.

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1.05 Delaunay Experiment

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 Curve Menu

30 CONCEPTUALISATION CONCEPTUALISATION 31

32 CONCEPTUALISATION CONCEPTUALISATION 33

34 CONCEPTUALISATION CONCEPTUALISATION 35

2.03 Transform

The transform method included using a shaped created during Week 1 and applying to the al-gorithm in order to produce the following out-comes. 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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42 CONCEPTUALISATION CONCEPTUALISATION 43

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.

44 CONCEPTUALISATION CONCEPTUALISATION 45

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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 differ-ent outcome. The change of radius and offset has resulted in various outcomes.

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58 CONCEPTUALISATION CONCEPTUALISATION 59

2.06 Driftwood Surface

By inserting in a gradual curve I was able to ex-trude the contours of the given shape.

60 CONCEPTUALISATION CONCEPTUALISATION 61

3.01 Creating a Grid Shell

62 CONCEPTUALISATION CONCEPTUALISATION 63

The Gridshell technique was applied to the following shape, the surface count and shift number was changed accordingly to manipu-late the surface pattern.

Surface Count: 8

Surface Count: 30

Surface Count: 58

Surface Count: 100

64 CONCEPTUALISATION CONCEPTUALISATION 65

Surface Count: 0

Surface Count: 10

Surface Count: 100

66 CONCEPTUALISATION CONCEPTUALISATION 67

3.02 Patterning List

By manipulating the U and V sequence and cull pattern a va-riety of patterns were created.

68 CONCEPTUALISATION CONCEPTUALISATION 69

3.03 Rutten Webinar

Twiggy Portrait

By manipulating the X,Y cull pattern and circle radius the outcome was able vary in contrast and density as a result.

Union Jack70 CONCEPTUALISATION CONCEPTUALISATION 71

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STUDIO

Table ofContents

Week 1

Lofting & State Capture 1-4

Triangulation Algorithms:

2d

3d

Delaunay Experiment

Week 2

Mesh Geometry

Week 3

AlgorithmicSketchbook

Explain iterations - discuss spatial qualities

How I /rebuild/ and changed points scheme

Week 1 Lofting & State Capture

FIG.1: (EXPLAIN HERE & REFERENCE AT THE END OF YOUR DOCUMENT)

Inputs are points

Various distribution

2D

Voronoi

Delaunay

Meta Ball

Triangulation Algorithms 2 Dimensional

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.

Controlling the seed for insertion, point count and square leaves to understand how this might configure the form of an cubed Oc Tree forma-tion.

3 Dimensional Oc Tree

Delaunay Experiment

Week 2 Mesh Geometry