Pallavi Natarajan

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.