Photographer Radu Zaciu hollowed out ordinary fruits and vegetables and replaced their insides with light bulbs. His photo series, "The Light Inside," captures what these everyday edibles look like with their new, luminous cores, revealing the structural subtleties in their pulp, their skin, their leaves, and…
Cantor's Dust is a famous fractal, a basic pattern that repeats itself over and over. It's a pretty pattern, but it didn't seem very useful at the time it was invented. Years later, it was invoked again at the dawn of chaos theory to explain an odd phenomenon in broadcasting.
A simple game with a die, a triangle, and a hell of a lot of patience, can help you to draw a famous fractal. Get out a pencil and clear your schedule. (Or get out a computer and clear less of your schedule.) We'll show you how to draw a fractal by accident.
The roots of CGI lie in the first mechanical aids to drawing and painting. The earliest of these were developed to help solve a problem every artist has found to be sticky: perspective.
Back in 2010 — a mere 19 days before his death — Benoît Mandelbrot gave a candid and moving interview describing his life's work and how he came to devise fractal geometry, the notion that the much of the natural world is organized according to elegant and predictable mathematical principles.
In her two latest videos, maths-maven Vi Hart shows us how to draw fractals freehand, creating Koch curves, dragon curves, and eventually THREE DIMENSIONAL DUNGEONS – all with a little clever doodling.
Fractals aren't just something you learn about in math class. They are also a gorgeous part of the natural world. Here are some of the most stunning examples of these repeating patterns that look the same no matter how far you zoom in or out.
Pratt student Melanie Hoff was curious to know what would happen to a sheet of wood when blasted with 15,000 volts of electricity. So, she decided to run the experiment — with the results being something quite unexpected. Rather than causing it to catch fire or blow up, the electricity created intricate fractal…
If you said "blood vessels" or "bronchi" you'd be wrong, but those would both be very good guesses. There's a reason this false-colour image of the Mississippi Delta — photographed by Japan's Advanced Land Observing Satellite — bears such a striking resemblance to ramifying vasculature; as Unpopular Science explains,…
Cauliflower are awesome. In addition to being straight up delicious, the pattern of bumps and nobs on its surfaces follow a fractal pattern. While it's most obvious with Romanesco broccoli, it's also present in the standard white stuff. And now, thanks to a new scientific paper, we have the formula behind it.
Mathematicians have now visualized abstract mathematical objects called flat tori — items resembling donuts with corrugated, fractal surfaces. These were thought to be impossible to envision in ordinary 3-D space... until now.
Fractals — patterns that repeat themselves so they look the same on every level — have often been found in nature. Here is a beautiful example of groundwater branching into streams at constant angles, creating their own exquisite fractal pattern.
Argentinian architect Ciro Najle has spent the past several years designing more efficient fog collectors, vast nets that allow people in arid regions to gather water from moisture in the air. And recently, he worked with local crafters to translate the complex fractal mathematics of cumulous clouds into crochet. The…
Alexander's Horned Sphere is one of the more frustrating fractals out there. It is a fractal, it's a ring, it's an endless series of branches, and, technically, it's a ball. At least, inside it is. Outside, well, the entire oddity of the Horned Sphere is to change how we define 'inside' and 'outside.'
In between painting the Mona Lisa and idly designing flying machines for fun, Leonardo Da Vinci occasionally got outside and looked up every now and again. Because he was Da Vinci, the moment he did, he discovered a new natural law. This one was about trees, and after five hundred years, scientists are still trying to…
Macro-meta meets micro-meta here, where an artist in Queens explains how he used a hacked sewing machine to make Cosby sweater that reaches into the infinite. On the sweater Bill Cosby wears the sweater, on which Bill Cosby wears the sweater. And the pattern in the background of the sweater? It's the pattern on Bill…
• The problem – How to tell if a banana is senescent (old).
• The solution – Apply fractal Fourier analysis to the banana spots.
A particular fractal, called Menger's Sponge, is all about surface appearances. It's a purely theoretical shape that has infinite surface area and no volume whatsoever. And because of that, it doesn't occupy three dimensions. Or two. It manages to exist in fractional dimensions.