ALGORITHMIC DESIGN

The Iterative logic preceding design logic is constituted on overlapping circular fields pushing away from each other, leaving behind a trail of polyline perfectly equidistant to each other invariably. On an optical outlook the script resembles a curve growing but these curves are perfectly equidistant from each other, perfect for 3D printing ensuring a perfect printed overlap despite the location in the printed pass. To simply explain the process consider 2 circles overlapping and to push away from each other in the resulting opposite vector. The complexity arises when when the resulting vectors to repel arise from 3 or more overlapping circles, to compute the average move vector for each circle and move each circle according to the average move vector. This iteration repeats indefinitely reducing the overlapping until there is absolutely no overlap. This constitution of no overlap is calculated simultaneously with the finished iterations and with newly added iterations to ensure the script can be used in indefinite growth while ensuring the equidistant spacing in between, eg. 3 circle overlap will recompute if new iterations of i and j are added.

ALGORITHMIC DESIGN

The algorithm that we have chosen to exercise is using differential growth. What we wanted to do was create a system that behaved similarly to surfaces in nature that fold in on themselves. For instance the way walnuts do, as well as the layers of cabbage, our intestines and several leaves and flower petals. And probably several other things.

The surface for exercising the design was chosen to be that of the chair when translated to printed outcome the resulting curve will lead to areas of excess material while leaving holes in the others more widely placed. This is because of the width of extrusion always being constant from the mounted 3d printing tool to ensure the printing width always intersects at half the printed width a curve growth is applied to ensure the bestprinted pass while keeping all the data from the steps in the printing process Translating the curve growth on a double curved surface terraforms its presence while perfectly packing the surface. The boundary of the surface defines the end of the growth, in theory the lack of uniformity in direction of the print pass prevents its own infallibility to forces in any one direction. Yet a boundary of 3 passes on the surface boundary concretes its stability by uniformly distributing its forces through the periphery.