A new fractal analysis of London’s dense network of streets and intersections reveals that a green belt meant to encourage migration to the suburbs had the opposite effect. The city has just became denser. People really seem to love urban living, especially in a thriving city like London. The work could shed light on…
The complexity of a puzzle is usually dependent on how many tiny pieces are crammed inside its box. But by introducing mathematical fractals into the design, this plain nine-piece puzzle by Oscar van Deventer looks like a nightmare to solve.
There are multiple examples of fractal patterns in nature, from peacock feathers, snowflakes, and leaves, to cloud formations and coastlines. A group of graduate students have spotted similar fractal geometries in the ponds that form at low tide on a tidal flat in Maine.
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.
Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you've already heard of fractals, you've probably seen the picture above. It's called the Mandelbrot Set and is an example of a fractal shape.
Math is way more fun when it's lent some narrative, some purpose—and we've never seen a better example than this stunning noir cartoon which explains fractals. You have to watch it.
IBM's engineers must have been at a loose end, because they've just launched a new site called the IBMblr Fractalizer, which takes any Tumblr and spits it out as a series of fractals.
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've ever read the Jurassic Park novel and wondered what those crazy sets of spirals were between chapters, you need to watch this video. Also: if you've never read the Jurassic Park novel, you need to watch this video.
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.
The whole 3D phase gave puzzles a bit of a temporary renaissance, but a Boston-based design shop called Nervous System hopes to revive them yet again with a unique twist. And 'unique' is the key word here since every puzzle is cut with a different fractal pattern.