If you could see the world through my eyes, you would know how perfect it is, how much order runs through it, and how much structure is hidden in its tiniest parts. We’re so often victims of things—I see the violence too, the disease, the poverty stretching far and wide—but the universe itself and everything we can touch and all that we are is made of the most beautiful geometric patterns imaginable. I know because they’re right in front of me. Because of a traumatic brain injury, the result of a brutal physical attack, I’ve been able to see these patterns for over a decade. This change in my perception was really a change in my brain function, the result of the injury and the extraordinary and mostly positive way my brain healed. All of a sudden, the patterns were just . . . there, and I realize now that my injury was a rare gift. I’m lucky to have survived, but for me, the real miracle—what really saved me—was being introduced to and almost overwhelmed by the mathematical grace of the universe.
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There’s a park in my town of Tacoma, Washington, that I like to walk through in the mornings before work. I see the trees that line its path as anyone would, the branches and the bark, but I see a geometrical blueprint laid on top of them too. I see triangular patterns emerging from the leaves, reminding me of the Pythagorean theorem, as if it’s unfolding in the air, proving to me over and over again what the ancient Greek philosopher and mathematician Pythagoras deduced thousands of years ago: the sum of the squares of the legs of a right triangle (a triangle in which one angle is a right angle, or 90 degrees) equals the square of its hypotenuse. I don’t need a calculator to know that the simple formula most of us learned in school—a2 + b2 = c2—is true; I can see it instantly in the trees all around me. To me, a tree is more than its geometry, but geometry is also far more than most people realize. I think it’s everything.
I remember reading that Galileo Galilei, the Italian astronomer, mathematician, and physicist (and one of my heroes), said that we cannot understand the universe until we have learned its language. Speaking of the universe, he said, “It is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures, without which it is humanly impossible to understand a single word of it.”
This rings true for me. I see this hidden language of the world before my eyes.
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