ALGORITHMIC SKETCHBOOOK ALYSSA MAREE SANTOMARTINO (585168) ABPL30048: STUDIO AIR
SEMESTER 1, 2014 UNIVERSITY OF MELBOURNE
TUTORS: Haslett Grounds and Brad Elias Studio #11
CONTENTS
LOFTING CURVES IN GRASSHOPPER
UNDERSTANDING GEOMETRY, TRANSFORMATIONS AND INTERSECTIONS COMPOSITION AND GENERATION POINT ATTRACTORS
LAGI BREIF APPLICATIONS MATRIX OPERATIONS
EVALUATING AND GRAPHING FIELDS GRAPH CANTILLEVERS IMAGE SAMPLING
A.1
4-5
A.3
9-11
A.2
6-8
B.1
12-14
B.2
16-20
B.1 B.2
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B.2 B.2
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A.1 :
LOFTING CURVES IN GRASSHOPPER Learning to use the programs Rhino and Grasshopper in conjunction was the main agenda of this week’s exercise. In doing so we were instructed to create a set of curves, lofting them first through rhino and then through grasshopper. From this the importance of grasshopper was seen.
The curves of the shape were drawn in rhino and then referenced in Grasshopper. By doing so a loft which could be manipulated was constructed. The top image displays the manipulation of the first loft to the last. After each manipulation the result was ‘baked’ from grasshopper into Rhino. The grasshopper base is the red shaded object in the bottom left image. Here we can see the working process of manipulation. The left screen-grab shows the ‘bake’ having just been performed. The red curves can be seen underneath. The shape has been derived from these curves which are red as they are connected to grasshopper.
The bottom right screen-grab shows the initial lofted curve I made through the Rhino ‘loft’ command. Whilst this may be a faster method originally, manipulation is not able to be completed with ease. Instead of the loft moving with the curves as the control points are moves, as it does in Grasshopper, the loft remains stationary, only the curves themselves moving.
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At the suggestion of the video, I tried to find an output which I could input by surface into. I tried to create a panelling system with a square, which I made on grasshopper. It became a little too complex and I was unable to make panels on my lofted shape. Within a box I experimented in creating 3D cells. They were then taken out from the box and randomly deleted to play with different forms. This was done with the Voroni3D command which created the cells around a selection of points I created within the box. I proceeded to use a similar concept on a lofted form which I had created. This time using the Octree command, I placed points on my surface and boxes were created on it. This can be seen in the screen grab below.
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A.2 :
UNDERSTANDING GEOMETRY, TRANSFORMATIONS AND INTERSECTIONS
This week’s tutorial video’s introduced us to creating surfaces from vectors and points and then meshing these surfaces.
This screengrab shows how to add together two different vectors to create one. Two different ways of doing this was explored in Grasshopper. While they achieve the same result, one uses less plug-ins.
This second screengrab indicates how I came to create a rectangle from a plane in grasshopper. This allowed me to have a fully static and changeable rectangle to work with.
In the last technical video, I used the technique of creating surfaces on grasshopper, between points in rhino, to make a 3 dimensional hexagon. I then baked this out.
By linking in a lofted surface to Grasshopper, and using the Mesh Brep command, I was able to create a paneled surface for my loft and also my 3D box. After baking this out I could potentially lay this out and have it laser cut, just like we did for virtual environments.
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The other video’s introduced transforming curves into other objects. I was able to create this arched surface, which I then baked out to use in Rhino, from two curves.
I learnt how to create a plane on an individual curve, and then create a shape within that plane which can move along the curve. This could allow me to create multiple ribs around a curve, allowing me to create a specific path for the ribs to follow.
I explored, through creating a set of closed oval curves, creating frames through the offset plugin. This was an interesting concept which could help me in creating a sculptural design for my project
One of the video’s had us creating a shape which we would contour under. This allowed us to form panels which could potentially be laser cut. We were also taught how to use grasshopper to lay the panels out. Even though I copied exactly what the video said, I was not able to make the panels. All of the panels were pasted on top of one another, even though I tried to separate them. I was not successful with using the orient command.
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I also had issues with using the planar command to create a flat plane at the center of an object. For some reason my planes were massive in comparison to the ones in the video. I could not avaerage them out to find the central point. I was interested in learning about notching from creating a circle on a plane between two surfaces. This would be extremely helpful for manufacturing purposes.
offsetting the angle
Creating different parts to the circle
Creating a notch for the material to fit into. Obviously the notch has been exaggerated here
Ofsetting the line
Conturing a surface
By creating a Brep component out of subtracting different extruded shapes from my square (the Boolean subtract command in Rhino) I was able to use what I learnt in the driftwood 8
The contouring was placed against an offsetted surface to create contour lines.
A.3 Composition & Generation From a set of three curves I used the ‘Three-point-arc’ output to create a rounded wire frame. This became a lofted form. It was interesting to create a precise form around specified curves.
The curve was divided into sections and the corresponding points were joint. This created an interesting pattern and way of dividing the surface.
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From a flat surface, which was linked into grasshopper through the surface input, was divided and flattened to become a Voronoi 2D Patterned surface. Here I experimented with different uses of the Voronoi tool using sliders to change the amount of panels, as well as the true false command within the panels.
I had some issues with connecting the Voronoi to my extruded surface and Culled Pattern. However I was still able to achieve what was happening in the video’s, my rectangular boundary square was just massive. I decided to try other inputs within the Triangulation tab. Some worked when I inputed my extruded surface and/or culled pattern.
Delaunay Edges
Proximity 2D
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Voronoi 3D
Using another set of random curves which I created I attempted to repeat what I had learnt in the first video. This attempt was successful. These are the three curves I made.
I followed the same process, using the explode tree component to create points which the arc could connect to.
I then lofted the shape and made this mushroom like object. I then went back into Rhino and adjusted the control points randomly on the shape. This change was replicated within grasshopper and I was able to create a different shape from a similar set of curves.
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B.1
Creating a polygon in grasshopper through triangles
i then repeated the same process but with a 5 sided shape (pentagon) whish created some similar but different geometry
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POINT ATTRACTORS
starting with one point and then moving onto two i can see how the points are attractiing the arrows dependig on where i moves them
this pont attraction is more clearly seen through the use of the colours,. I tries a few different parameters to see the different colour options
The point Attractoes were then applied to a lofted surface. Circles (their radius and number) were scaled dependant on their proximty to the point
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Through the attachment of expressions and evaluations i was able to change the movement of the circles and how they were mixed to the loft. I used Cos, Floor and fix, as well as a number of x and y combinations
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LAGI BRIEF APPLICATIONS To explore the application of a sculptural concept onto the site I took one of the more interesting designs which I felt could be exciting to fabricate from the matrix exercise. I chose the object I created from the facet dome command. When I baked this into rhino I was given a wire frame, however when lofted a sculptural form was created.
The purpose of the project is to create a community area as well as promote renewable energy. I feel like these little shapes could be used as gathering points. I have scaled them at different heights for interest and placed them around the site. The tallest however, is the maximum height for the site 125m. This was placed in a polyline which indicates the barrier of the site. From this I learnt just how big the site is. Even though my biggest sculpture is 30m across it looks tiny in comparison to the site.
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MATRIXS OPERATIONS
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B.2 EVALUATING AND GRAPHING FEILDS Point chargers were used to create lines along curves.
These lines were more densly populated around the points using a number slider
On top of these point charged curves, if the input spiral force was applied, the lines followed this circular pattern. When i changed the charge to a negative number i was not able to achieve any results
The base algorithm to produce a set of point attracted lines from a number of curves.
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The points are then moved upwards by the factor determined by the slider From these points we create some lines through the points using Interpolate.
After this we can use the graphing component to create different curves.
With a positive slider a platformed design with pin point piloti’s is created.
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B.2 GRAPH CONTROLERS
Use of the Bizzar input created hexegonal patterns around the circles which were created through a graph map. These circles radii can be adjusted with a slider. With the input of a cull pattern, the points which i created on the circles were inputed at a true/false pattern.
35 points on a circle
87 points on a circle
Cull pattern output
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Adjusting the panel inputted into the vorrinoi to a true/false/false rather than a true/false, as appealing spiral pattern was created. This is more densly populated in the image to the right. 80 points were used.
I then tried to input different graphs into the graph mapper. This created some interesting patterns. Here we can see the use of the sync graph. A pointed vorronoi was created.
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B.2 IMAGE SAMPLING The circles, created through the image sampler, are applied to the planar surface which i refrenced into grasshopper from rhino. The below screengrab from grasshopper indicates the use of the image sampler.
Change of density: .22 slider
Change of expression. Timed by .01 rather than .1 22
Change of density: .63 slider
Overlapping of two different image samplers
The offset of the points to later create the mounds. These are offset by a particular distance.
The circles are offsetted determined by the expressions which i have used. Their height is dependant on an angle inputted, in this
case i plugged in 71 Degrees. These Curves are then able to be lofted, after they have been grafted to simplify their data tree’s.
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B.2 REGENERATING A DESIGN Creation of a sphere leads to pointed edges. A smooth mesh component is needed
I tried to use a flat surface to project points onto the surface of the sphere’s like they showed us in the video because i wasnted to put the image on it. This didn’t work in the end.
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Even though i copied and pasted this algorithim from the Museum video which we watched this week, it would not work with my surface. The expressions were incorrect and as i didn’t understand why they were incorrect i couldn’t resolve the issue. At most i would get cirlcles or arcs at horizontal planes. I
wanted verticle planes which wrapped around the object. As the shape was extreemly complex i couldn’t unroll it Therefore neither could i place the pattern on the surface that way.
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