Fractals: On The Edge Of Chaos

Fractals are self-similar structures that reveal intriguing patterns in science and nature. This beautifully illustrated book explores the mathematics of fractals and chaos, including the Mandelbrot Set, dripping taps, and chaos.

Format: Paperback / softback
Length: 64 pages
Publication date: 01 October 2019
Publisher: Wooden Books

What are fractals?

Fractals are geometric shapes that exhibit self-similarity at different scales. They are characterized by intricate patterns that repeat themselves over and over again, creating a mesmerizing and intricate appearance. Fractals have been studied for centuries, and their beauty and complexity have captured the imagination of mathematicians, artists, and scientists alike.

Why are fractals such fun?

One of the reasons fractals are so fascinating is that they can be created using simple mathematical formulas. By iterating a formula over and over again, it is possible to generate complex and intricate shapes that seem to defy explanation. This simplicity also makes fractals accessible to a wide range of people, from children to adults.

How do you make one?

Creating fractals can be done using a variety of methods, including computer graphics and mathematical algorithms. One popular method is the fractal generation algorithm, which involves iterating a simple formula over and over again to generate increasingly complex shapes.

Why is a dripping tap not as random as it seems?

While a dripping tap may appear to be random, it is actually governed by a set of physical laws. The flow of water through the tap is determined by the pressure of the water supply, the size of the tap, and the surface tension of the water. These factors can create a predictable pattern of water droplets that fall from the tap.

What is chaos?

Chaos is a branch of mathematics that studies complex systems that are influenced by their starting conditions. Chaos theory is based on the idea that small changes in a system can have significant effects on its overall behavior. Chaos is often characterized by unpredictable and irregular patterns, such as the famous butterfly effect.

Is the Mandelbrot Set really the most complex object in mathematics?

The Mandelbrot Set is a fractal that was first discovered by mathematician Benoît Mandelbrot in the 1970s. It is a two-dimensional surface that is defined by a complex mathematical formula. The Mandelbrot Set is famous for its intricate and beautiful patterns, which have made it one of the most iconic objects in mathematics.

In this beautifully illustrated book, fractal-hunter Oliver Linton takes us on a fascinating journey into the mathematics of fractals and chaos, diving into many kinds of self-similar structures to reveal some of the most recently discovered and intriguing patterns in science and nature.

Wooden books are small but packed with information. Fascinating Financial Times. Beautiful London Review of Books. Rich and Artful The Lancet. Genuinely mind-expanding Fortean Times. Excellent New Scientist. Stunning New York Times. Small books, big ideas.

Weight: 80g
Dimension: 125 x 155 x 2 (mm)
ISBN-13: 9781904263982