Chronicles of the parametric disaster!

Inquiry into the surface tectonics began with studying the piecemeal seed sourced by George Legendre.  A quick set of manipulations and I chose to halt at the current stage (parametrics indicated in the image below).

01

A careful study into the equations and its subsequent outcomes indicate an increase in the frequency of the period along the “j” threads results in the thread knotting around itself. When carefully stitched along the subsequent three sides throws up interesting phenomena. There is suddenly a close resemblance to the tectonics of a mobius strip.

02

Using a custom script developed by George in Lisp, for autocad, these threads could be then imported into autocad for further study.

03

It was not long before the realization dawned in that the implementation of thickness into these threads would indicate an inability for the threads in the corners to “knot” around. Further, each of these threads are inclined with the “horizontals” that are not perpendicular to it. Hence, I had to resort to scripting on grasshopper to ease the process of extruding the rectangular cross section along these threads. This enabled me to test the threads in the corner for the failure of knots and I eliminated them for the purposes of fabrication. This further enhanced the peculiarities of the “knot” which increases from a near zero in the corners to a certain maximum on the other end.

04

Scripting in grasshopper further eased the process of implementing boolean transformations on the threads. This was critical since otherwise, it is impossible to guess how the threads would lock up against each other. The “notches” installed into the threads are all inclined at different angles and dimensions.

05

The poly-surfaces so derived were then exploded. I was gambling with using the laser cutter to install these notches and this meant the impossibility of creating a swarf cut in the material (for the purposes of this study, I was working with an eighth of an inch – chip board). I tried making all the notches larger so as to accommodate the “incoming” threads. These were then laid out in autocad to be laser cut.

06

And finally, there was the catastrophe!! Everything seemed to work to a certain extent. But, pretty soon, it ended up being impossible to notch the threads one against another. This problem could also be attributed in part to the depth of horizontals not being too large. There was an intrinsic problem towards making the depth fairly large, since the knotting of the thread imposed a certain maximum on it. In all probability, my best guess would be an unavoidable swarf cutting or perhaps an extremely thin material.

07

So, after some excruciatingly large amounts of time and energy exhausted with this process, net result seems be tending towards zero……. 😉 LOL!!

08

And yes, I would be henceforth willing to share all code written be me, if requested (base Mathcad seeds do not belong to me. Apologies. Anything else. Yes)

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~ by Karthik Dondeti on November 7, 2009.

One Response to “Chronicles of the parametric disaster!”

  1. Good one..

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