Saturday, January 16, 2021

Genuary 2021 Day 16 "Circles"

Decades ago, I was taking a complex math class, and I didn't appreciate the professor, so I had a hard time absorbing the mathematical techniques that I was supposed to be learning. At some point, circle inversion was presented, and I thought it was interesting, but I hadn't really internalized the rest of the coursework up to that point. I remembered that circle inversion was cool, but didn't remember how to manipulate complex numbers to make the circle inversion formulas draw pretty pictures.And here we are, with a prompt of "Circles".I also point you at the NumberPhile YouTube Video titled "Epic Circles", featuring Simon Pampena: https://youtu.be/sG_6nlMZ8f4For this drawing, I constructed a set of 6 concentric circles, and placed "beads" within those circles, with counts of 31, 41, 59, 26, 53, 58 - the digits of pi, two at a time. I then inverted the circles around an off-center circle, which distorted the entire stack of circles, including making the beads all different sizes.I should really adjust the pen-down position on my AxiDraw, or lift my pen up a little - the marks of where the pen moves as it is lifting is kind of annoying in this drawing.Tools Used: AxiDraw, DrawSVG, Circles Circles Circles Languages Used: PythonDevelopment Time: ~90 minutesDrawing Time: ~2 minutesWhat's Generative Here: The number of "beads" at each tier of the stack is determined from digits of pi. The angular offset for the beads is generated based on a random seed.

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