Fourier Transform

Fourier transform says that any pattern in space and time can be considered a superposition of sinusoidal patterns with different frequencies. This formula is important because the component frequencies can be used to analyze the patterns, create them to order, extract important features, and remove random noise. Fourier transform led us to image processing and quantum mechanics. It also helped us structure large biological molecules like DNA, do image compression in digital photography, cleaning up old or damaged audio recordings, analyzing earthquakes.

Similar Stuff

Mathematical Anarchy | Cool Math Stuff | Abakcus

Mathematical Anarchy

An anarchist mathematician used five different simple equations for his graffiti. When you graph them, you will see the mathematical anarchy!

Z Proportions

Becca Hirsbrunner photographed this fabulously constructed Z proportions letter. Interestingly, every element but the diagonal bar can be rationalized.
NASA Scientists in 1961 | Cool Science Stuff | Abakcus

NASA Scientists in 1961

In 1961 NASA scientists worked hard to send an American astronaut to the moon. And we have this beautiful photo from those days.
Mandelbrot Island | Cool Math Stuff | AbakcusMandelbrot Island | Cool Math Stuff | Abakcus

Mandelbrot Island

When Alexis Monnerot-Dumaine rendered Mandelbrot set as an island using the fractal-based landscape generator, Terragen, he got this Mandelbrot island.

Adaptive Roots

These two lovely photos of adaptive roots show how nature fits the environment, and the way they do that is so impressive!

A Geometric Haircut

Imagine that your barber’s name is Zeno and he is doing 1/2 off haircuts. Probably he would do a geometric haircut. This is hilarious.