![]() ![]() And the plum I ate this morning is circular. ![]() Figure 8.1 For us nature coders, we have to ask the question: Can we describe our world with Euclidean geometry? The LCD screen I’m staring at right now sure looks like a rectangle. This sort of geometry is generally referred to as Euclidean geometry, after the Greek mathematician Euclid. What is the circumference of a circle? The area of a rectangle? The distance between a point and a line?Ĭome to think of it, we’ve been studying geometry all along in this book, using vectors to describe the motion of bodies in Cartesian space. You learned about shapes in one dimension, two dimensions, and maybe even three. Fractals “Pathological monsters! Cried the terrified mathematician Every one of them a splinter in my eye I hate the Peano Space and the Koch Curve I fear the Cantor Ternary Set The Sierpinski Gasket makes me wanna cry And a million miles away a butterfly flapped its wings On a cold November day a man named Benoit Mandelbrot was born” - Jonathan Coulton, lyrics from “Mandelbrot Set” Once upon a time, I took a course in high school called “Geometry.” Perhaps you did too.
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