2023 Joint Mathematics Meetings
Eric Vergo
Artists
Statement
I was a design engineer at Apple for the better part of a decade, where my job required me to develop creative solutions to technical problems. As a hobby I had always enjoyed Rubik's-cube-like puzzles, and was curious about some open questions regarding their nature. Through an attempt at trying to answer those questions I was exposed to higher level math and was completely captured by its beauty. The art shared here is the result of working on those problems. In early 2022 I left my career and plan on returning to school. I’m excited to learn about all the things I didn't get to the first time around and to apply my engineering based problem solving approach to new fields.
Artworks
Two circles are placed in the plane such that the circumferences intersect at two points. Then, the midpoint between the disc centers is tracked through the following sequence 10 million times:
1. If the point is within the boundary of the left circle, rotate the point $\frac{\tau}{\sqrt{10}}$ anti-clockwise about the center of the left circle.
2. If the point is within the boundary of the right circle, rotate the point $\frac{\tau}{\sqrt{10}}$ clockwise about the center of the right circle.
After each step the location of the point is recorded. Finally, a color map is applied according to the local density of locations the point visited.
White: Zero density
Blue: Minumum density
Red: Median density
Yellow: Maximum density
Two circles are placed in the plane such that the circumferences intersect at two points. Then, the lower of the two points is tracked through the following sequence 10 million times:
1. If the point is within the boundary of the left circle, rotate the point $\frac{\tau}{16}$ anti-clockwise about the center of the left circle.
2. If the point is within the boundary of the right circle, rotate the point $\frac{15\tau}{16}$ clockwise about the center of the right circle.
After each iteration the location of the point is recorded. Finally, a color map is applied according to the local density of locations the point visited.
Black: Zero density
Blue: Median density
Cyan: Maximum density