Infinity of π

Since watching the hit show Person of Interest, the episode 2πR has stuck with me since. This episode highlights one of the main characters, Harold Finch, as a high school teacher. In this episode, Finch states the following:

Pi. The ratio of the circumference of a circle to its diameter—this is just the beginning. It keeps going forever without ever repeating.

Contained within this endless string of decimals is every other number: your birth date, your locker combination, your social security number—it’s all in there somewhere

And if you convert these decimals into letters, you would have every word that ever existed in every possible combination—the first syllable you spoke as a baby, the name of your latest crush, your entire life story from beginning to end. Everything we ever say or do, all of the world’s infinite possibilities, rest within this one simple circle.

Now, what you do with that information—what it’s good for—well, that’s up to you.

This quote has served as an inspiration to what the universe holds for us. Similar to Pi, the universe is infinite and holds many unknowns. Mathematics, like the universe, is a language of patterns—an intricate web of connections that governs everything from the motion of planets to the algorithms that shape our digital lives. Just as Pi encodes infinite sequences, our own lives are shaped by infinite choices, each leading to different paths and outcomes. As we progress through life, we continue down this infinite path of knowledge and understanding.