ALGORITHMIC

ILHYEON (MICHAEL) YEO583928

Semester 1, 2014

A. 1 - Introduction to GrasshopperLOFTING - GRASSHOPPER p.g 1LOFTING - OPTIONS p.g 2FURTHER LOFTING p.g 3TRIANGULAR ALGORITHM p.g 4~6POINT, VECTOR, PLANE p.g 7~8

A. 2 - Geometry, vectors and loftMESH p.g 9~10CONNECTING 2 VECTORS p.g 11LINEAR CURVE p.g 12~163D CURVE p.g 173D CURVE LOFT p.g 183D TO 2D PROJECTION p.g 19CONTOUR AND LOFT p.g 20CONTOUR TO LAYERS p.g 213D MODEL, SPEAD CONTOUR p.g 22MORPHING p.g 23INTERSECTION p.g 24NOTCHING p.g 25JOINING THROUGH OFFSET p.g 26SUBTRACTION p.g 27CONTOURING p.g 28CIRCULAR INTERSECTION p.g 29

A.3 - Creating interesting surfaces2D Panelling p.g 30~32

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CONTENTS

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4.1 Field Fundamentals p.g 33~34

4.2 Expression p.g 35~36

4.3 Fractal Tetrahedra p.g 37~38

4.1a Evaluating Fields p.g 39~40

4.2a Graphing Section Profiles p.g 41~42

4.3a Graph Controllers p.g 43~44

4.4a Image Sampling p.g 45~46

5.1 Tree Statistics and Visualisation p.g 47~48

5.2 Tree Dimensions p.g 49~50

5.3 Tree Menu p.g 51~52

5.4 Path Mapper p.g 53~54

1 STUDIOAIR

LOFTING - Grasshopper

2STUDIOAIR

LOFTING - OPTIONS

loose

tight

uniform

closed loft

straight

developable`

Normal

Exploring loft - Viewing different options to see the differences

3 STUDIOAIR

LOFTING - Further

Further exploration, changing base shape to form complex shapes

4STUDIOAIR

TRIANGULAR ALGORITHM

Experimenting - Curve to points, Points to Lines

5 STUDIOAIR

TRIANGULAR ALGORITHM

2D pattern experiment

6STUDIOAIR

TRIANGULAR ALGORITHM

2D pattern experiment 3D pattern experiment

7 STUDIOAIR

POINTS, VECTORS AND PLANE

8STUDIOAIR

Exploring points, vector and plane

Panel showing its 3 coordinates and vector display,

Unit vector changing the length of the vector, but not changing its direction

Points used to position

Vectors to describe direction and magnitude,

Plane used to describe orientation

9 STUDIOAIR

Creating mesh from scretch

Quad component isn’t practical as it need to set the points need data tree.

Mesh 1.

10STUDIOAIR

Mesh 2.

breping the solid and converting to meshes to utilise mesh welding and smooth mesh

11 STUDIOAIR

adding 2 vectors in grasshopper

ADDITION OF 2 VECTORS

12STUDIOAIR

LINEAR CURVE 1

closing curve with open 2 curves

13 STUDIOAIR

LINEAR CURVE 2

using discontinuity component and average component

14STUDIOAIR

LINEAR CURVE 3

using offset and planar component to create some frames

15 STUDIOAIR

LINEAR CURVE 4

16STUDIOAIR

evaluating the curve observing where the points are on line

Perpendicular component, allowing object to be created (in this case circle) in perpendicular to something (eg curve)

17 STUDIOAIR

3D CURVE

dividing curves in to points allowing arc to form further divided into segments to create grids

using polyline, giving straight line, ie easier to fabricate

18STUDIOAIR

3D CURVE - LOFT

lofting with changing parameters from horizontal to vertical.

somehow showing planes as well as dots, but working exactly same as tutorial video, just showing extra planes

19 STUDIOAIR

3D SURFACE TO 2D PROJECTION

using project component, producing 2 dimensional panel.

20STUDIOAIR

CONTOUR AND LOFT

using move and loft to create same functionality of extrude.

21 STUDIOAIR

CONTOUR TO LAYERS OF RECTANGLE

22STUDIOAIR

3D MODEL TO CONTOUR TO SPEAD

exploring contour component with XY unit and loft

also laying out the 2d panels and lay out parametrically.

23 STUDIOAIR

3D MODEL AND MORPHING

box morphing with loft, checking with face boundaries and planar surface to be sure that the meshes are not distorted.

24STUDIOAIR

INTERSECTION

finding intersection through brep/ brep and using surf split and itemlist to make small wedges that shows there are no leaking point

25 STUDIOAIR

using notches to create detail and cut

3D MODEL NOTCHING

26STUDIOAIR

JOINING THROUGH OFFSET AND LOFT

27 STUDIOAIR

SUBTRACTION

28STUDIOAIR

CONTOURING

Above argorithmic represents the left contour and bottom representing other. For bottom one, even there are no error the result was different to tutorial video. It could be because of “surface” i have used, as i used a lofted surface, since extruded surface didn’t not work.

29 STUDIOAIR

CURVE INTERSECTION

reducing circle number -> circles gone red as random circles are created that does not even fit

30STUDIOAIR

2D PANELING - Exploring

Experimenting with grasshopper, placing object/ shapes/ panels on a surface.

Failed as panels are interseting in the middle. Probably due to 3D object used on panel that had exceeding height - angle or surface.

31 STUDIOAIR

2D PANELING - Exploring

32STUDIOAIR

2D panel, by using Surface divide, decompose, domain divide and morph.

Decompose had to be set was “expression” value of 0 to make the guideline on surface to be flat and keep it as single line, If it was on it made multiple lines and panels intersected/crashed each other like the previous practice.

below is the shape the is used for panel.

33 STUDIOAIR

4.1 Field Fundamentals

Field fundamentals, using point charge and magnetic field to produce interesting shapes.

other than point charges and line charges introduced in tutorial, tried to use spin force, which produced the circular part and vector force, which i did not quit get what “L” value does, but “B” value created that pink.

34STUDIOAIR

35 STUDIOAIR

4.2 Expression

Following the tutorial, resulted pic 1,2 and 3. (using evaluate and expression of floor)

investigated how Asin will result, pic 4, rather than the size increasing towards the point, but decreased.

Also investigated to “degree” which was most interesting as it made countless number of circles around the lofted shape (so they are not on the shape), pic 5, but as soon as i moved my point to lofted shape, the size of circle reduced, but some still formed outside of the lofted surface, pic 6.

pic 1 pic 2

pic 3 pic 4 pic 5

36STUDIOAIR

pic 5 pic 6

37 STUDIOAIR

4.3 Fractal Tetrahedra

Just following tutorials and making changes to slide bars.

Tried to make own tetrahedra, but i couldn’t join the surfaces very well, and came to the point where i couldn’t join those shapes together.

38STUDIOAIR

39 STUDIOAIR

4.1a Evaluating Fields

Playing around with point charge, spin force, field line to see what kind of effect it has to the curves. Also changing slider values to see the influences

Divide tool (1) - number of points on base curve, thus change on number of the shapescircle tool - increases radii of the circles (at point)Divide tool (2) - number of lines that comes out from pointsField line tool - length of lines

40STUDIOAIR

41 STUDIOAIR

4.2a Graphing Section Profiles

42STUDIOAIR

Add on from 4.1a, utilising graph mapping - graph type bezier, the 2d shape of 4.1a, was able to change to 3D shape.

The shape alternation caused by graph was hard to understand, but the sliders were straight forward that divide/range slider provided more curves, and multiplications altered altitude of the design

43 STUDIOAIR

4.3a Graph Controllers

Adding voronoi to graph mapper produced interesting, that “voronoi” shape. Circle was used for this, but other shapes could be used as well such as rectangle, but did not test it out as it will be the same thing.

The graph mapper controlled how much the pattern draws to/ moves away from the centre. Divide obviously controlled number of patterns, but to create pattern in the circle, it had to be “odd” number.

44STUDIOAIR

45 STUDIOAIR

4.4a Image Sampling

Using 2 image sampler on 1 surface, and having circles at dots to produce the image on bottom

46STUDIOAIR

47 STUDIOAIR

5.1 Tree Statistics and Visualisation

Very simple definition, using tree statistics, to produce number(data) of surface

48STUDIOAIR

49 STUDIOAIR

5.2 Tree Dimensions

Further development from 5.1, but having 3D data from flat surface.

50STUDIOAIR

51 STUDIOAIR

5.3 Tree Menu

52STUDIOAIR

First definition is for the flat surfaces using shift part, to flatten the data.

Second definition is for the sphere next to flat surfaces, that the data are connected as lines, and the way they connect differs by the values written in panel.

53 STUDIOAIR

5.4 Path Mapper

54STUDIOAIR

Using path mapper as tree, able to change 1 data to other data, such as A;B -> A;B+1, which will change the way divided points behaves.

By adding poly line, able to see some of changes, and adding/ changing path mapper, the pattern changes from rectangle to triangles to various type of patterns