
Having gotten my feet wet and created a digital model of a prawn in GC using static data points, the task of the weekend was to rewrite the GC script based upon this geometry, but with the added sophistication of the internal relationships distilled into as few independent characteristics upon which all other forms could be determined via reference. I was able to reduce the complexity to 5 necessary defining parameters:

- the radius of the circumcircle to the poles of the main lateral axis of the exoskeleton where the dynamic and static enclosure/support systems meet
- the angle between those points and the circumcenter
- tail length
- head length
- head height

All other dimensions and forms can be related to these parameters through a derivation of proportion, orientation, location, etc. Interestingly though, in producing this logically concise version of the geometry, I noticed that the same two common proportions kept popping in the code necessary to generate the secondary forms. 1//7 and 1/11. As I have meticulously based both my physical and digital models on the forms found in nature, this is quite insightful and possibly might hold some potential for exploitation. They are both prime numbers and therefore can not be related harmonically. Is there some particular advantage to this unique condition, or perhaps any special utility in consistently relating elements by this general proportion within differing orders of magnitude in the same structure?
NEXT STEPS
Clearly the next step is to investigate the importance and possibilities of these derivative characteristics of the geometry through an improvisation of implementation as earlier conducted with the voronoi cell structure. To do this, I will need to polish up the script of my first draft of the parametric solution to make these proportions live, and to hunt down any other mathematically significant relationships not yet parsed.
Now that I have a fully parametric model, I can begin to place the geometry in differing partial compositions within a text voronoi field of cells to investigate the next step in translating these relationships from the natural world to the architectural one.
Third, it's time to get a retracting tail joing mocked up in GC.
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