* What kind of fantastical mirror world is this? We usually see self-replicating *fractal patterns

*in 2-dimensions, but they can also be expressed in 3-dimensions as well, namely via*Mandelbox

*and*Mandelbulb

*sets. This otherworldly 3D fractal pattern was created by*

*mathematician*Jos Leys.

# Incredible Photographs of Fractals Found in the Natural World

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.

# This is what happens when you run 15,000 volts through wood

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…

# Can you guess the subject of this photograph?

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,…

# Unlocking the fractal patterns in cauliflower

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.

# Artist uses crochet to create mathematically accurate sculptures of…

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 fractal changes how we define inside and…

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.'

# Scientists still puzzled by a fractal discovered 500 years ago

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…

# The Neverending Cosby

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…