PATH MAKING ALGORITHM

The path making algorithm has been fully implemented within a voronoi field. You can see 16 different paths run within the same voronoi field structure. Perspective shots of one example have been included below.

Single Cell Component Variation

In order to support more complex forms of pathways within the exoskeleton, the archway component needed to be rebuilt as a composition of two half arcs that meet up in the middle along the pathway.

The original formation of the curve network was an arch pathway starting from any chosen side of a voronoi going to any other side of the voronoi cell. In the case of a simple path, the cell side indexes could be split up into two basic types of forms, 2 openings, and 2 tracks to guide the perimeter of the lofted arches. In this case the left side of an arch was consistent in its placement along a particular track, and the right was equally consistent along the other track.

Once you introduce a third opening to create branching within the circulation network, a third track must emerge seamlessly from the single continuous surface defined by these perimeter curves. The arches were split in order to facilitate the branching within the circulation.

EXAMPLE 1


In the new component, a line is drawn from the cell origin at height to the top of each cell opening to create a series of points where the 1/2 arches can meet up.


Then the remaining perimeter lines of the voronoi cell on one side are similarly prepared to be the originating points of the first set of 1/2 arches.


Likewise, a track of an equal iteration of points is arrayed along the opposite side, regardless of the relative length of these constituent edge lines.


Finally, the half arches are arrayed only the three tracks to create the enclosure for this particular voronoi cell.

EXAMPLE 2

However, this system of cellular construction can not be used in the case when openings arise on adjacent edges of the voronoi cell.


Here there is no perimeter edge to array the track for this half of the circulation in this simple example.


Instead an arch is arrayed from the point between the two openings to the cell origin point at height.


As normal, tracking is laid on the other side.


And then half arches are arrayed in the same fashion as the previous example.

LIBRARY OF ALL POSSIBLE CONDITIONS WITHIN THE SAME CELL DEFINITIONS
I went on to create 7 different examples of opening/tracking array conditions upon the same voronoi cell base with six sides to take account of as many different ways the data would need to be handled in the parametric modeler.

1 openings - x_____
Here in this image you can see the cell with a simple opening and no other entry or exit to the space. Here you can see in plan that the smooth line of the two halves of the constiuent arches deviates on the back side of the cell as they get farther from the opening. This was necessary to accomodate the two halves of the tracking geometry. This smooth transition from continuous arches to a more bifurcated geometry may create opportunities for more complex geometric and circulatory relationships further on in the development.

2 openings - x_x___
This is the first example in the explanation above. Two openings separated by open tracks on both sides of the circulatory path.

2 openings - xx____
This is the second example from above with adjacent opening with no track on one side and an open track on the other.

3 openings - x_x_x_
Here is the first example containing 3 openings for which the original component reconstruction was required. In the middle of two sides of a simple pathway, a third side needs to emerge from the middle within the continuous framework of the exoskeleton to create branching.

3 openings - x_xx__
3 openings with both closed and open track conditions between openings.

3 openings - xxx___
3 openings with only closed track conditions between openings.

6 openings - xxxxxx
Al sides open and ready for connection to adjacent cells containing only closed track conditions between openings.