Pallavi Natarajan
I am a chemical and biomolecular engineering student and enjoy
creating digital and fractal art. Through these creations, I explore
the connections between math and art.
The rainbow colorful upper portion is a graph of the Collatz
Conjecture. Every odd number from 1 to 20,000 was plotted with the
coordinates of the number and the next value in the conjecture.
For example, 7 was plotted as (7,7), then (7,22), then (22,11) and
so on. The 4-2-1 loop was excluded to prevent infinite running
time. The bottom blue portion is a different graph of the Collatz
conjecture, where each column represents one odd number. The
sequence begins at the top of the chart and each step in the
conjecture is represented using an additional rectangle. Longer
sequences have longer columns. Additionally, the color of each
rectangle represents a set of values, with darker rectangles
representing numbers in the thousands range.