Geometry / Mobius

You want me to use a protractor?! I joke. I will admit I wondered what I was getting into with this assignment. The intention was to learn how to experiment with paper models, be willing to go big and try again if something does not work. Take what we create in two dimensions and bring them to three dimensions. To draw our item in Auto Cad, as in be able to translate what we created, into something that can be measured and replicated, then creating a nice clean final production including polished images of the final item. 

We were required to use 5” x 5” pieces of paper to create our mobius forms, or infinity strips. Making one straight cut, then manipulating the paper to create an infinity loop. We also needed to do the same with a separate piece of paper with the same initial cut, and one additional cut, to demonstrate how one simple alteration can change the entire form.

Once we had our two templates, we translated them into Auto Cad, then recreated our designs for one final assembly and photoshoot.

Software used: Auto Cad


One Cut

As I was considering the infinite possibilities for a single cut into a square piece of paper, I began considering the subdividing a square exercise. I decided to apply my cuts where sub-divsion lines would have occurred, to see how a mobius form would turn out if following the simple geometric concepts. The resulting form did not appear upon first glance to resemble any regular geometric idea. It is interesting how a twist can completely change a form.


Two Cuts

Continuing along with the idea to follow the lines within a subdivided square, I applied the second cut to follow this idea. Again the result was nothing I could have predicted.


Together

When i was considering the subdivided square, I had folded my draft paper to provide an idea of where the lines would be. I was inspired by the interesting dynamic lines that formed.


Submitted Pieces

Due to the procedure to submit our finished item, when the design was printed, the object turned in was not pre-folded. I did like the variation and how the smooth paper enhanced the shape. The folds did add a dimension, and distract from the pure shape, created by the cut(s) and twists.