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Fractals: On the Edge of Chaos

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A unique new guide to the chaos of the natural world and the mathematics of fractals for anyone who has ever wanted to understand the patterns in leaves or the creation of snowflakes.

2,000 years ago Euclid of Alexandria devised a strategy for measuring and mapping the world using spheres, cones, circles, and straight lines. His modeling allowed for the invention of geometry and the theories of Isaac Newton and influenced subjects as varied as economics and ethics. But Euclid's neat solutions belied much of natural reality, and as technologies like satellite navigation were developed, scientists needed to find a more precise way to measure forms that didn't follow straight lines or easily measured curves. The solution, discovered in 1982, was fractals.

In this beautifully illustrated book, fractal-hunter Oliver Linton takes us on a fascinating journey into the mathematics of fractals, diving into everything from coastlines to carpets to reveal some of the most recently discovered and intriguing patterns in science and nature.

64 pages, Hardcover

First published January 1, 2018

9 people are currently reading
119 people want to read

About the author

Oliver Linton

13 books

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5 stars
16 (22%)
4 stars
27 (38%)
3 stars
16 (22%)
2 stars
9 (12%)
1 star
2 (2%)
Displaying 1 - 13 of 13 reviews
Profile Image for Felix Delong.
246 reviews10 followers
June 4, 2021
This book is a beautiful little interjection of math and magic. It is almost like poetry. I love it.
Disclaimer:
I do believe that existence is fractal.
Universe is a quantum computer that is running a formula that generates a holographic fractal that our minds translate via Fourier transformation into what we call objective reality.
Maybe I'm slightly biased here =)
Profile Image for D'Ailleurs.
301 reviews
September 28, 2025
Ενδιαφέρουσα εισαγωγή στη φράκταλ παράνοια, με απλοποιημένη γλώσσα για εμάς που δεν τα πιάνουμε με τη πρώτη. Όταν το τελειώσετε θα ζωγραφίζετε φράκταλ όπου βρείτε.
Profile Image for Evie.
197 reviews2 followers
January 1, 2023
3.5 rounded up to 4.

I love the theories in physics, but it’s the math that my brain just can’t wrap its head around. I read the whole book, but there were definitely some dense pages of mathematical formulas that only got processed in my brain as word salad.

It’s hard to say: is a short mathematics book with pretty pictures meant for the general public? It can be argued that only a very particular person would pick up this book in the first place.

Of those that usually would pick up this book, I see little value in this book beyond being able to see beautiful illustrations that dry physics textbooks may not prioritize.

A pretty niche market for a book, but I still did enjoy the read for the theories. I’ll be picking up the seminal book on chaos theory that is still recommended as that is apparently much more accessible to the general public.
Profile Image for Lena.
17 reviews
September 18, 2020
ngl i just bought this for an essay but its a genuinely great read.
261 reviews19 followers
April 20, 2021
Well, a bit too mathematical and too little magical for me as a complete beginner, but still it doesn't change the fact that fractals are magic (or magic, life, is fractals).
Profile Image for Sean Carroll.
163 reviews2 followers
June 29, 2021
Did I understand the math? No. Did I wonder in awe at simple rules turning into beautiful infinities? Yes.
1 review
March 4, 2023
I like maths
This entire review has been hidden because of spoilers.
Profile Image for Alexandru Tudorica.
57 reviews3 followers
February 20, 2023
Too short, too mathematical (but not enough to make sense). A lot more explanations would be necessary so that it's useful for someone not mathematically inclined. As mentioned at the end, Chaos by James Gleick is an excellent overview of the topic with the right depth.
Profile Image for Victoria Nicholson.
17 reviews32 followers
July 15, 2022
Illuminating illustrations

Looking at visual math patterns in nature etc. Is comforting for me. This book is fun surely for math professionals , visual artists, and anyone who enjoys gorgeous patterns.
Profile Image for Luca.
65 reviews
November 6, 2024
I don’t know where I heard about this book, why I bought it, or honestly why I read it in the first place…but the visuals/art in this book are breathtaking
Displaying 1 - 13 of 13 reviews

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