Fractals Everywhere

What Hacker News says

1. philipswoodMay 2023
   Fractals Everywhere, Michael F. Barnsley.

   I love the way it starts:

   >Fractal geometry will make you see everything differently. There is a danger in reading further. You risk the loss of your childhood vision of clouds, forests, flowers, galaxies, leaves, feathers, rocks, mountains, torrents of water, carpet, bricks, and much else besides. Never again will your interpretation of these things be quite the same.

   thread
2. medo-bearJul 2022
   Michael Barnsley's Fractals Everywhere is one of the best intro books i found on the subject

   https://www.amazon.com/Fractals-Everywhere-Michael-F-Barnsle...

   thread
3. ralferooDec 2021
   This isn't new. I first learned about Sierpinski triangles with this algortihm in the early 90s. Later, I learned how it can be generalised to IFS and opened my eyes to much more interesting examples. I think there's even an entire chapter on this specific algorithm in Barnsley's Fractals Everywhere book.
   thread
4. xigencyMar 2015
   Very cool. Reminds me of IFS fractals and a book I read, "Fractals Everywhere," which discussed them.
   thread
5. fractallyteJun 2014
   Actually, I would point out that Lisp is not limited to any single paradigm...

   But something else you wrote brought to mind this rather interesting statement from - of all places! - the introduction to Michael Barnsley's famous book, 'Fractals Everywhere':

   'In deterministic geometry, structures are defined, communicated, and analysed, with the aid of elementary transformations such as affine transformations, scalings, rotations, and congruences. A fractal set generally contains infinitely many points whose organization is so complicated that it is not possible to describe the set by specifying directly where each point in it lies. Instead, the set may be defined by "the relations between the pieces." It is rather like describing the solar system by quoting the law of gravitation and stating the initial conditions. Everything follows from that. It appears always to be better to describe in terms of relationships.'

   Show morethread
6. ghotliNov 2010
   Fractals Everywhere by Michael Barnsley. It's a mathematics textbook, but very approachable. It could stand to be more rigorous but I'm finding it needs very little supplementary material. I've made it through metric spaces, affine transformations, and dynamical systems. Looking forward to Julia sets and Mandelbrot sets.

   Fractals. They're pretty awesome.

   thread