Asa Pelin 734995 Algorithmic Sketchbook

STUDIO AIR ALGORITHMIC SKETCHBOOK

Pelin Asa Tu t o r S o n y a P a r t o n

Lof ting

This is an algorithm for creating syconoid-like sponges with varying profiles. The Grasshopper script for each sponge is clustered for easy repetition, and the parameters were adjusted separately.

Parameters

The location of sponges The length of each sponge At how many points along the height of the geometry the radius changes At which heights the radius changes The radii at those points

The sponges are places according to a random grid, and each one is slightly different from each other, like the sea sponges in real life.

Pat ter ning

Gray Black White, Linda Halcomb, 2010. https://lindahalcombfineart.files.wordpress. com/2010/10/gray-black-white-1.jpg

1

Pattern of circles drawn according to the brightness of this artwork projected onto the sponges

Sponge 2

To be able to create the almost random and complex appearance of this sponge a basic building block on one branch was repated many times at different points along the main branch.

Parameters

The length of each branch

The angle of each branch

The points at which the smaller

branches spring from their mother branch

2

Curves and Transfor mations

Initial algorithm for creating the tree trunk Points along a radial grid are moved at random distances and interpolated to form an uneven trunk

A grid is projected above the trunk to connect points along the rim of the trunk and on the grid to form arcs for branches

Branches are pipes with the Variable Pipe tool and the intersections of the trunk and the branches are removed

3

Parameters Shape of the trunk can be changed by inputting different seed for randomness Angle of the two halves of the each branches can be changed as can be seen from the iterations below Lengths of the trunk and the branches Radii of the branches at several different heights

4

Patterning Lists

Initial pattern created with a 16x16 surface grid voronoi dragram and one attractor point

i.

16x16

i. 1 0 0 1 0 1

53

ii.

14x14

iii.

12x12

ii. 1 0 1 0 0 1 0 0 0 1 0 1

iii. 1 0 0 0 1 0 1

As can be seen from the cull patterns i and iii even one difference can create two very different patterns.

The patterns on this lofted geometry (first three images left to right) were created by using different list components such as jitter and cull pattern to change the curves created with Interpolate component. The fourth surface was created with Surface Morph component to apply the surface from the initial exercise on the left page on the surface of the geometry.

6

Fields

Fields created with two points and a line are merged

3 point arcs created around a circle to form a surface

Different field iteration with various points and lines and mapped onto different surfaces

7

Geometry created from the arcs

Direction display of the field is mapped onto the surface

Vo r o n o i d i a g r a m f r o m f o r c e f i e l d s

M a p p i n g a c u r v e p a t t e r n o n a s u rface using path mapper

Kangaroo

Applying spring and bending forces on curves The bottom red line is the original curve drawn in Rhino, the others are formed as the line spring relaxes

Applying spring f o r c e s o n d i f f e rent geometries to experiment with t h e i r s h a p e d e f o rmations

Applying spring and upwards unary forces on a planar mesh with corners as the anchor points

M e s h S p r i n g s / Te n s i l e S t r u c t u r e s

changing the stiffness of the spring