Eric Vergo
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.
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