Liao rita 605490 sketchbook

ALGORITHMIC SKETCHBOOK

week 1 Lofting curves: Four curves set as inputs into simple loft algorithm.

Progression from planar surface to undulating form achieved through simple transformations on input curves and curve control points.

The model updates instaneously as the input curves are manipulated which is handy for quickly producing a progression of iterations.

Triangulation algorithms: 1. Delaunay mesh 2.Voronoi 3. OcTree - approximates complex geometry by fitting boxes to it.

Each of these techniques can be used to ready a form for production by generating more easily fabricated geometries (i.e. meshes). Additionally they demonstrate how a degree of formal complexity may be generated within Grasshopper using only 2-3 step algorithms.

Week 2

Week 2

Shift list is used to create a gridshell from preexisting lofted surface

Week 3

Week 4

Range A domain is a space defined by a minimum and a maximum (e.g. 0<x<1). The range component divides this domain into a number of segments (e.g. 10 segments).

The points generated are represented by coordinates, most likely cartesian in nature (existing in xyz space). These points can be then used to generate more complex geometric types such as a sine or cosine curve, or a combination of both (pictured).

Point Polar Point Polar component requires radian (i.e. non-cartesian) inputs, in this case using pi.

Two spirals are generated, indentical albeit one has a z-input. The surface is generated by a simple loft of the lines between these two spirals.

Site Model

Definition 1 Takes curved input surface, divides into contours, extrudes contours.

Adjusting sliders allows variation in density of contours, angle and length of extrusion.

Definition 2 Takes flat input surface, applies po offest point grid using image samp generated by lofting correspondin Changing slider inputs adjusts den degree of offset and density of sec

oint grid, generates pler, planar surfaces ng rows of points. nsity of point grid, ctions.

Definition 3 Use of arc instead of line component generate in a radial rather than linear manner. Once aga ers are able to adjust density of point grid, deg offset and density of sections.

es panels ain slidgree of

Definition 4 Two variations of the same definition are used ate the same geometry on two different input which have the same xy properties but transla z-direction. Changing the movement amplificat ers to a negative value reflects one of the form xy plane.

d to cresurfaces ated in tion slidms in the

Definition 5 By changing the end product of the definition loft to an extrusion, the structure becomes a s interconnected rods rather than planar surface

from a series of es.

Definition 6 Surface points converted to point charges.

Week 5