I have been fascinated lately by symmetric design which have a heavy touch of minimalism in them. I believe that to explore symmetry, we need to be able to see multiple perspectives of the design.
To start out, I took a Sandbox Logo and used Paper.js to animate it. All I needed to create the design was just a square, ie a square length and the angle of the parallellograms in them. Further, I rotate them to give you a feel of the symmetries that arise from such a simple thing.
This philosophy is in line with the examples that the Twitter logo can be constructed from sets of concentric circles.