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A L G O R I T H M I C D E S I G N S K E T C H B O O K

B E N R Y D I N G - 5 8 7 4 0 3

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Week 1

Week 2

Week 3

Week 4

AC01: Lofting

AC02: Strip Geometry

AC03: Patterning

AC04: Fractal Geometry

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6-7

8-11

12-15

CONTENTS

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AC01: Lofting

Basic “Loft” from a set of four curves drawn in Rhino, but man-aged through Grasshopper.

Using Grasshopper allows the adjusted curves to alter the loft, contrasting to Rhino, which doesn’t allow you to alter the loft after it has been performed.

Using “Bake” command after various alterations of the curves allows a series of different iterations of the same lofted curves.

Underside of loft, demonstrates ‘inhabitable space’.

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Utilising my most interesting outcome, I explored the functions of Grasshopper further by trialling some of the ‘Triangulation’ tools, as suggested in this week’s

tutorial videos. Below are the Grasshopper deinitions for two of my experiments, the OcTree function, on the left of the image displayed above, and the Delau-

nay Mesh function, on the right.

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AC02: Strip Geometry

Closed surface from mul-tiple closed curves. Hole taken from loft through Brep|Brep and SplitSrf. Empty Space was patched through a sec-ond open loft, and joint in Rhino.

Curve was offset and extruded so that entire

form was inside ‘cylinder’. Brep|Brep and SrfSplit used to split sections of the strips which fell inside the double

torus. Additional pieces were manually deleted in Rhino to create ‘plywood’

finish.

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A problem arised in attempting to create the ‘double torus’ form. Although I managed to cut holes in the closed surface through Brep|Brep (between the full form and a second open

cylindrical loft) and SplitSrf, I wasnt able to work out how to patch it up into a single smooth surface. Hence, I consented to a jagged edge between the surface (with holes removed) and a third cylindrical loft between the two Brep|Brep curves and another smaller closed curve. I did this to add some definition to the hole and make it seem somewhat natural.

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AC03: PatterningFailed attempt at grindshell using

a more complex, curved set of origin curves.

Definition:Note use of ‘Seam’ to realign the seams to match start points on the seperate curves.

Problem Area: On the sharp curves, theres an uneven amount of points (varying

between two and six, in this case) so the Arc 3Pt func-

tion shifts to different points further along curve.

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Solution Attempt: Perp Frames to Curve | Frame Intersection to align points to tangent frames of

a single ‘base’ curve.

Problem: Too many intersections per set - created 3 or 4 points per plane. Cull Index would be able

to remove specific instances, but desired points occur at different numbers in each set. Not sure if there is a way to cull instances which are not the

closest point, without manually choosing.

Lofted form for patterning

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Distribution of Voronoi patterning on projected outline of lofted form.

Main difficulty came through attempt to cull voronoi ‘curves’ from centre ‘hole’ curve.

Voronoi distribution projected back onto original surface

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Additional culling of undesirable curves

Experimentation with offset of Voronoi curves.

Some problem areas occured, but could mostly be fixed with additional culling in sections and less in

others. However, it was a good exploration into problem analysis and solution in Grasshopper.

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AC04: Fractal Geometry

Fractal Geometry coming from a base pentagon, extruded to a point,

oriented in both directions (in the z-direction) and extruded to form

strips between the two pyramids at the same height of the pyramid edge

length.

As the geometry is a pentagon, in order to create the fractal geometry in the xy plane, I used vectors coming from the midpoint of the base form, to the midpoint of each side of the pentagon. I then moved my scaled geometries along those vectors.

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PROBLEM: When the trim was ap-plied between the initial geometry and the scaled forms, it created

holes, rather than making it a solid.

Please don’t judge me... But this is how I solved the problem, whilst achieving the desired capping result (as opposed to the Cap Holes Ex, from the previous definition, which merely made flat faces over the hole without any depth). The entire middle section of this definition (below) is an extremely laborous way to solve this problem, but I kept running into issues

whilst writing it and ‘stubborn me’ wanted to see it through.....

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Desired Geometry achieved (manually...) and a quick exploration into other fractal-

type patterning geometries using it.

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A play around with piped edging and capped corners to give it a

finished appearance.