Author Archives: 08 Rebecca Wood

Intersect/Shape/Region Union

Region Union allows you to combine multiple overlapping curves onto one complex shape.

In my example, I randomly distribute a curve on a surface, and then using Region Union create a complex curve from their intersections. First, GH generates a number of points randomly on a surface (set the surface in the upper right, change the number of points with the labeled slider). Next, input your curve of choice into to the curve node; GH extracts the center point of the curve and places one at each of the points that was randomly generated in the first step. Finally, bake the “Region Union” button to create a curve of the initial curves’ overlap. Group them when you bake to keep all the small center pieces in place.

Grasshopper File:

RegionUnion

08_Wood and Pettinga_P2

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Most simply, a building is a space surrounded by a material. It makes structural and economic sense to maximize the space to material ratio – to build in such a way that a maximum amount of space is created with a minimum of material.

The honeycomb employs a hexagonal structure that maximizes space to material ratio. The “ideal” pattern of equilateral six-sided cells fit together in three dimensions: hexagonally across the front of the comb and also at the back of the cells, which nest together to form a two-sided plane.

However, in nature even the most rigorous of patterns is eventually interrupted and has to find a way to adapt. A honeycomb retains the ability to alter its pattern to fit a location’s specific requirements: to warp, shrink, grow, or even lose a side to accommodate changing program (worker bee zone vs. drone zone) or the available space (see below).

A honeycomb’s ability to optimize material use while retaining formal flexibility would be useful characteristics in skyscrapers, which tend to be both expensive and restricted to small urban spaces. I’ve included images below that show how Office dA (top) and MAD Architects (bottom) have integrated honeycombs into their structures.