Yeh hsin 690458 algorithmic sketchbook

ALGORITHMIC SKETCHBOOK HSIN YEH 690458 STUDIO AIR SEM 2, 2015

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LOFTING & STAGE CAPTURE From simple, smooth ---> complex, edged Folding & twisting the tube Create sharp & round ends

LOFTING & ALTERNATING THREE CURVES The result: A overlapped form with angled towers and smooth slope. Maybe a concept for playground?

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TRIANGULATION ALGORITHMS

POPULATE 2D + VORONOI

Increasing the number of random points creates a more complex and fine web.

RADIUS + DELAUNAY

Increasing the octree resolution creates more and smaller boxes across a surface.

OCTREE 4

VORONOI Taking out the polysurfaces created by voronoi 3D is useful for form finding.

POPULATE 3D + VORONOI 3D 5

MESH GEOMETRY

SMOOTH MESH

Concept model of a pavilion with shelter and viewing platform.

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CURVE - INTERSECTIONS

INTERSECTING A LOFT SURFACE AND A PLANE

INTERSECTING A MESH AND A PLANE

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CURVE

A loft surface is transformed into multiple curves to create a light structure that is different to the solid original loft.

CURVES GENERATED FROM LOFT 8

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TRANSFORM

TRANSFORM: PROJECT & LOFT CURVE

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A mesh is projected onto a plane as curves, and the curves are lofted to transform the mesh into a layered structure.

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SECTIONING

SECTION A GEOMETRY: VERTICAL VIEW 12

This is a sectioning of a mesh object. The sections only onclude those that have a closed boundary, so some part of the mesh is blank. This creates possible design for bar table.

SECTION A GEOMETRY: HORIZONTAL VIEW 13

CONTOUR

CONTOUR & INTERSECT WITH SURFACES 14

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GRIDSHELL

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GEODESIC - INTERSECTING

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VORONOI FROM 3D OBJECT

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FIELDS

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IMAGE SAMPLING

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FRACTAL TECTRAHEDRA

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EVALUATING FIELDS

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GRAPHING SECTION PROFILES

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PATTERN WITH GRAPH

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PART B ITERATIONS Triangular panel - U: 8, V: 15 Curve group 1 - Crv1: 0.75, Crv2: 0.25 Curve group 2 - Crv1: 0.25, Crv3: 0.75 Curve group 3 - Crv2: 0.75, Crv3: 0.25 IntCrv Degree: 1 Curve offset: 0.8 Hexagon curve offset: 0.9 Quadrangle subdivide: 1 Amplitude - B: 0.39

Triangular panel - U: 6, V: 10 Curve group 1 - Crv1: 0.5, Crv2: 0.5 Curve group 2 - Crv1: 0.5, Crv3: 0.5 Curve group 3 - Crv2: 0.5, Crv3: 0.5 IntCrv Degree: 3 Curve offset: 0.8 Hexagon curve offset: 0.9 Quadrangle subdivide: 1 Amplitude - B: 0.39

Triangular panel - U: 6, V: 10 Curve group 1 - Crv1: 0.2, Crv2: 0.8 Curve group 2 - Crv1: 0.8, Crv3: 0.2 Curve group 3 - Crv2: 0.2, Crv3: 0.8 IntCrv Degree: 3 Curve offset: 0.9 Hexagon curve offset: 0.9 Quadrangle subdivide: 2 Amplitude - B: 2

Triangular panel - U: 6, V: 10 Curve group 1 - Crv1: 0.75, Crv2: 0.25 Curve group 2 - Crv1: 0.25, Crv3: 0.75 Curve group 3 - Crv2: 0.75, Crv3: 0.25 IntCrv Degree: 3 Curve offset: 0.9 Hexagon curve offset: 0.9 Quadrangle subdivide: 2 Amplitude - B: 2

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Triangular panel - U: 8, V: 12 Curve group 1 - Crv1: 1, Crv2: 0.5 Curve group 2 - Crv1: 0.5, Crv3: 1 Curve group 3 - Crv2: 1, Crv3: 0.5 IntCrv Degree: 3 Curve offset: 0.9 Hexagon curve offset: 0.9 Quadrangle subdivide: 2 Amplitude - B: 3

Triangular panel - U: 8, V: 12 Curve group 1 - Crv1: 0.7, Crv2: 0.3 Curve group 2 - Crv1: 0.3, Crv3: 0.7 Curve group 3 - Crv2: 0.7, Crv3: 0.3 IntCrv Degree: 3 Curve pipe radius: 1 Hexagon curve offset: 0.95 Quadrangle subdivide: 1 Amplitude - B: 1.2

Triangular panel - U: 8, V: 12 Curve group 1 - Crv1: 0.3, Crv2: 0.3 Curve group 2 - Crv1: 0.3, Crv3: 0.4 Curve group 3 - Crv2: 0.3, Crv3: 0.4 IntCrv Degree: 3 Curve offset: 0.9 Quadrangle subdivide: 1 Amplitude - B: 1.2

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PART B ITERATIONS Triangular panel - U: 10, V: 10 Triangular frame scale: 0.95 Curve group 1 - Crv1: 0.7, Crv2: 0.3 Curve group 2 - Crv1: 0.7, Crv3: 0.5 Curve group 3 - Crv2: 0.3, Crv3: 0.5 IntCrv Degree: 3 Curve offset: 0.5 Amplitude - B: 0.97

Triangular panel - U: 10, V: 10 Quadrangle frame scale: 0.7 Curve group 1 - Crv1: 1, Crv2: 1 Curve group 2 - Crv1: 0, Crv3: 0 Curve group 3 - Crv2: 0, Crv3: 1 IntCrv Degree: 1 Pipe radius: 1.5 Amplitude - B: 0.97

Triangular panel - U: 10, V: 10 Quadrangle frame scale: 0.7, N:2 Curve group 1 - Crv1: 1, Crv2: 1 Curve group 2 - Crv1: 0, Crv3: 0 Curve group 3 - Crv2: 0, Crv3: 1 IntCrv Degree: 1 Pipe radius: 1.5 Amplitude - B: 0.97

Triangular panel - U: 10, V: 10 Quadrangle frame scale: 0.85 Curve group 1 - Crv1: 1, Crv2: 1 Curve group 2 - Crv1: 0, Crv3: 0 Curve group 3 - Crv2: 0, Crv3: 1 IntCrv Degree: 3 Pipe radius: 1 Amplitude - B: 0.97

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Triangular panel - U: 10, V: 10 Quadrangle frame scale: 0.85 Curve group 1 - Crv1: 1, Crv2: 1 Curve group 2 - Crv1: 0, Crv3: 0 Curve group 3 - Crv2: 0, Crv3: 1 IntCrv Degree: 1 Pipe radius: 1 Amplitude - B: 0.97

Triangular panel - U: 10, V: 10 Quadrangle frame scale: 0.8 Curve group 1 - Crv1: 1, Crv3: 1 Curve group 2 - Crv1: 0, Crv3: 0 Curve group 3 - Crv2: 0, Crv3: 1 Curve group 4 - Crv3: 0, Crv4: 1 IntCrv Degree: 3 Pipe radius: 1 Amplitude - B: 2

Triangular panel - U: 10, V: 10 Quadrangle frame scale: 0.8 Curve group 1 - Crv1: 0, Crv3: 0 Curve group 2 - Crv1: 1, Crv3: 0 Curve group 3 - Crv2: 0, Crv3: 1 Curve group 4 - Crv3: 0, Crv4: 1 IntCrv Degree: 3 Pipe radius: 1 Amplitude - B: 1

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PART B ITERATIONS

Triangular panel - U: 3, V: 5 Quadrangle N: 2 Curve group 1 - Crv1: 0.5, Crv2: 0, Crv3: 0 Curve group 2 - Crv1: 0, Crv2: 0, Crv4: 0.5 Curve group 3 - Crv2: 0, Crv3: 0.5, Crv4:0 IntCrv Degree: 3 Scale of curves: 0.97

Triangular panel - U: 3, V: 5 Quadrangle N: 2 Curve group 1 - Crv1: 0.2, Crv2: 0.4, Crv3: 0 Curve group 2 - Crv1: 0.2, Crv2: 0.4, Crv4: 0 Curve group 3 - Crv2: 1, Crv3: 1, Crv4:1 IntCrv Degree: 3 Curve pipe radius: 1

Triangular panel - U: 3, V: 5 Quadrangle N: 2 Curve group 1 - Crv1: 1, Crv2: 0.5, Crv3: 1 Curve group 2 - Crv1: 0, Crv2: 1, Crv4: 0 Curve group 3 - Crv2: 0, Crv3: 1, Crv4:1 IntCrv Degree: 3 Curve pipe radius: 1

Triangular panel - U: 3, V: 5 Quadrangle N: 2 Curve group 1 - Crv1: 0.5, Crv2: 0, Crv3: 1 Curve group 2 - Crv1: 0.5, Crv2: 0, Crv4: 1 Curve group 3 - Crv2: 0, Crv3: 1, Crv4:1 IntCrv Degree: 3 Curve pipe radius: 1

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Triangular panel - U: 3, V: 5 Quadrangle N: 2 Curve group 1 - Crv1: 0.5, Crv2: 0.5, Crv3: 1 Curve group 2 - Crv1: 0.5, Crv2: 0, Crv4: 1 Curve group 3 - Crv2: 1, Crv3: 1, Crv4:1 Curve group 4 - Crv1: 1, Crv2: 0.5, Crv4:1 IntCrv Degree: 3 Curve frame scale: 0.99

Triangular panel - U: 3, V: 5 Quadrangle N: 2 Curve group 1 - Crv1: 0.8, Crv2: 0.5, Crv3: 1 Curve group 2 - Crv1: 0.5, Crv3: 1, Crv4: 0.5 Curve group 3 - Crv2: 0.5, Crv3: 1, Crv4: 0.5 Curve group 4 - Crv1: 0.9, Crv2: 0.5, Crv4:1 IntCrv Degree: 1 Pipe radius: 1

Triangular panel - U: 3, V: 5 Quadrangle N: 2 Curve group 1 - Crv1: 0.8, Crv2: 0.5, Crv3: 1 Curve group 2 - Crv1: 0, Crv3: 0, Crv4: 0 Curve group 3 - Crv2: 1, Crv3: 0.5, Crv4: 0.5 Curve group 4 - Crv1: 0.9, Crv2: 0.5, Crv4:1 IntCrv Degree: 1 Pipe radius: 1

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PART B ITERATIONS Hexagon cells - U: 4, V:3 Curve group 1 - Crv1: 0.5, Crv2: 0, Crv3: 1 Curve group 2 - Crv1: 0, Crv3: 1, Crv4: 1 Curve group 3 - Crv2: 1, Crv3: 1, Crv4: 1 Curve group 4 - Crv1: 1, Crv2: 1, Crv4:1 IntCrv Degree: 1 Pipe radius: 1

Hexagon cells - U: 4, V:3 Curve group 1 - Crv1: 0.7, Crv2: 1, Crv3: 1 Curve group 3 - Crv2: 0.5, Crv3: 0, Crv4: 0.7 Curve group 4 - Crv1: 0, Crv2: 0, Crv4: 0 IntCrv Degree: 3 Curve frame scale: 0.97

Hexagon cells - U: 4, V:3 Curve group 1 - Crv1: 0, Crv2: 1, Crv5: 1 Curve group 3 - Crv2: 0.5, Crv3: 0, Crv4: 0.7 Curve group 4 - Crv1: 0, Crv2: 0, Crv4: 0.7 IntCrv Degree: 1 Curve frame scale: 0.97

Hexagon cells - U: 4, V:3 Curve group 1 - Crv1: 0, Crv2: 1, Crv4: 0.7, Crv5: 0 Curve group 3 - Crv1: 0, Crv3: 0, Crv4: 0, Crv5: 0.5 Curve group 4 - Crv1: 0, Crv2: 0, Crv4: 0.9 IntCrv Degree: 3 Curve frame scale: 0.97

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Hexagon cells - U: 4, V:3 Curve group 1 - Crv1: 0, Crv2: 0.4, Crv3: 1, Crv4: 1, Crv5: 1 Curve group 4 - Crv1: 1, Crv2: 1 IntCrv Degree: 1 Curve frame scale: 0.97

Hexagon cells - U: 4, V:3 Curve group 1 - Crv1: 0.5, Crv2: 0, Crv3: 0.7, Crv5: 0 IntCrv Degree: 3 Curve frame scale: 0.97

Hexagon cells - U: 4, V:3 Curve group 1 - Crv3: 0, Crv4: 0, Crv5: 1 IntCrv Degree: 1 Curve frame scale: 0.97

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PART B ITERATIONS Triangular panel - U: 5, V: 5 Quadrangle N: 1 Curve group 1 - Crv1: 0.75, Crv2: 0.25, Crv3: 1 IntCrv Degree: 1 Pipe radius: 1

Triangular panel - U: 5, V: 5 Quadrangle N: 1 Curve group 1 - Crv1: 0.75, Crv2: 0.25, Crv3: 1 IntCrv Degree: 1 Pipe radius: 1 Quadrangle curve pipe radius: 1

Triangular panel - U: 5, V: 5 Quadrangle N: 1 Curve group 1 - Crv1: 0, Crv2: 0, Crv3: 0.5 IntCrv Degree: 1 Pipe radius: 1

Triangular panel - U: 5, V: 5 Quadrangle N: 1 Curve group 1 - Crv1: 0, Crv2: 0, Crv3: 0.5 IntCrv Degree: 1 Pipe radius: 1 Quandrangle pipe radius: 1

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Triangular panel - U: 2, V: 2 Quadrangle N: 2 Curve group 1 - Crv1: 0, Crv2: 0, Crv3: 0.5 Curve group 1 - Crv1: 0.5, Crv2: 0.5, Crv3: 0.5 IntCrv Degree: 1 Pipe radius: 1 Quadrangle pipe radius: 1

Triangular panel - U: 2, V: 2 Quadrangle N: 1 Curve group 1 - Crv1: 1, Crv2: 0.8, Crv3: 1 Curve group 1 - Crv1: 0, Crv2: 0, Crv3: 0.5 Arc for curve Pipe radius: 1

Triangular panel - U: 2, V: 2 Quadrangle N: 1 Curve group 1 - Crv1: 0, Crv2: 0, Crv3: 0 Curve group 1 - Crv1: 1, Crv2: 0, Crv3: 1 Arc for curve Pipe radius: 1

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PART B DESIGN PROPOSAL

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PART C ITERATIONS OF FORM FINDING

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PART C: SPHERE COLLIDES WITH PATTERN

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PART C FINAL PROTOTYPE

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