The Boundless Beauty of Pi

A mathematical value with infinite digits provides limitless inspiration for data artists

Nadieh Bremer

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This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American


On March 14th of this year, I wrote about Martin Krzywinski’s 2016 “Pi Day” visualization, in which each digit of pi was reimagined as a physical mass, governed by the laws of gravity. This was the latest in a series of pi-themed visualizations by Krzywinski, who is both a scientist and a data artist; he has come out with a new graphic for Pi Day each year since 2013, and just came out with a brand new visualization for Pi Approximation Day.

2016 Pi Day visualization by Martin Krzywinski

Evidently, I was not the only one intrigued by Krzywinski’s work. Nadieh Bremer, another scientist-turned-data-visualizer, responded in 2015 with her own pi-based graphic. In honor of Pi Approximation Day (July 22nd, also denoted as 22/7, a fraction that is about equal to pi), here are a few snapshots of Bremer’s work.


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Images from “Exploring the Art Hidden in Pi” by Nadieh Bremer

The main premise here, as signified quite elegantly in the legend above the first iteration of the graphic, is that each successive digit of pi is visualized as one “step” in a different direction. The visualization becomes increasingly dense and convoluted as more digits of pi are added. And interestingly, somewhere between 1,000 and 10,000 digits, the configuration seemingly begins to mimic certain natural structures, like intricately folded proteins or crystal formations. As is so often the case when data and art come together, Bremer’s work is as surprising and complex as it is beautiful.

Amanda Montañez is senior graphics editor and been at Scientific American since 2015. She produces and art directs information graphics for the Scientific American website and print magazine. Montañez has a bachelor's degree in studio art from Smith College and a master's in biomedical communications from the University of Toronto. Before starting in journalism, she worked as a freelance medical illustrator. Follow her on Bluesky @unamandita.bsky.social

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