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Fractals Connect Everything from Your Heartbeat to the Cosmos
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The world is trying to tell us something. It's speaking a mathematical language that appears everywhere—in our bodies, in our art, in the way financial markets rise and fall, in the branching of trees and rivers. This language even shows up in our heartbeats and brain patterns.
The language is fractals, and understanding it might be the key to decoding the underlying patterns of reality itself.
Most of us were taught that geometry is about clean lines, perfect circles, and neat equations. That's Euclidean geometry—the mathematics of idealized forms that rarely exist in the real world. But reality isn't smooth. It's rough, jagged, complex, and messy.
Look at a mountain range, a bolt of lightning, or the coastline of Britain. Try measuring that coastline, and you'll discover something strange: the length depends on how closely you look. Measure it with a yardstick, and you get one answer. Measure it with a foot-long ruler, and the length increases because you capture more detail. Use an inch-long ruler, and it grows even longer.
This "coastline paradox" points to a fundamental truth about our world: natural forms have infinite detail at every scale. They're fractal. ... continue reading the article
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