What are fractals? Recursive geometry in nature
Ranked #1,622 in Home & Garden, #25,249 overall
On the left you see a version of the most famous fractal of all time: the Mandelbrot fractal. However closely you zoom in, you'll always see roughly the same pattern. That's what defines a fractal. They are defined by a relatively simple mathematical formula.
From a mathematical perspective what's important is that these equations, though simple, don't produce a line the way a linear equation does, or a parabola or anything like that.
I won't try to explain the math of this, but a few simple examples may make the concept visually clear.
Sierpinski Equilateral Triangle
Von Koch Snowflake Curve
Tree fractal: math in nature
More fractal pictures
More fractal geometry
Now, do you understand fractals?
-
Reply
-
LabKitty
Jan 30, 2012 @ 7:55 pm | delete
- Well done! We've this linked on our Mandlebrot lens since day 1!
-
-
Reply
-
Steve_Kaye
Jan 21, 2012 @ 12:24 am | delete
- I understand the concept. The math however, is beyond me (and I minored on math).
-
-
Reply
-
karmicchristian
Jun 10, 2011 @ 5:14 am | delete
- I believe, the entire cosmic design is based on fractals. (forgot the exact term used for it!)
-
-
Reply
-
bygproductions
Mar 12, 2011 @ 4:26 pm | delete
- Kinda, sorta, maybe? OK, count me in with Jimmie & Brenda. Well done lens though, featured it on my Fractal Art lens.
-
-
Reply
-
Treasures-By-Brenda
Nov 26, 2009 @ 5:07 pm | delete
- I'm going with what Jimmie has to say...and I'm forwarding this to my mathematic son. He's busy directing Charlotte's Web for another couple of weeks but I'll tell him to check back when he has time. Math he is! Math I'm not.
-
- Load More
More science, math and education

Brainetics Math Games and Memory System
Brainetics is an aid for students, teachers, parents, and adult learners who would like to improve their mathematics and memory skills. It also helps one...

What are fractals? Recursive geometry in nature
On the left you see a version of the most famous fractal of all time: the Mandelbrot fractal. However closely you zoom in, you'll always see roughly the...

LEGO City Police Station
LEGO City Police Station is a real delight for all LEGO lovers - be they young or grown ups. This large LEGO set will help you create an entire Police Station...

John Hick - philosopher of religion
An introduction into the philosophy of John Hick a noted religious philosopher using quotes. Philosophers of religion know John Hick's pluralistic ...

Origami Phizz Units - math crafts at home
This is a lens devoted to showing and explaining what a PHiZZ unit is and how much fun can be had from them. PHiZZ unit stands for 'Pentagon, Hexagon, Zig Zag'...

Rupert Sheldrake
Biologist known for his theory of 'morpho-genetic fields'. These fields make learning something easier once it's been learned before by someone else. This ...

Best Astronomy Software
Astronomy is one of the oldest Sciences. From the ancient Sumerians to the Modern Age human beings have always been fascinated by what the stars have to...

Best Beautiful Fractal Books
Fractals are a fascinating field of Mathematics in which patterns get repeated in ever smaller form. What's more, they turn out to describe very different...

Best Fun Cool Specialty Chess Sets
Chess is a board game that has been around for thousands of years. Experts believe that Chess originated in either India or Persia. It is a game that help develop...

Videos about NDEs - Near Death Experiences
Videos about Near Death Experiences: both reflection about the topic, as well as testimonies. From Christian to atheist interpretations of NDEs, from the ...

Consciousness: an Introduction, by Susan Blackmore
Fascinating. I bought this book because I first heard of this author as a former parapsychologist. It's always good to read books by those whom you disagree...

Resolve a dispute through Email? with a friend, college, customer or your boss
When you are in an e-mail argument, it is very hard to get out of it again. This lens will tell you a few of the things to watch out for when trying to mend...

How do you know the cheese on frozen pizza is actually cheese?
A kid in The Netherlands asked the CEO of a food company some questions for a school project. One of those questions was: is the cheese on a frozen pizza really...
BodyMind Meditative Games Boundary In A Box
Boundary in a Box is a self-health game system that combines imaginative play with common body-mind healing practices and simple somatic (body) psychotherapies...
David Bohm: science and spirituality
Famous for his 'Implicate and Explicite Order', quantum physicist David Bohm combines a knowledge of current day physics with a spiritual vision of the ...

Going Red - women and heart conditions
Going Red! Are you tired of hearing the phrase? I hope not! Going red is the term used to draw attention to heart problems in women. Women die of heart problems...

Fascinating scientists and intruiging science
My lensography of fascinating scientists and their books. The scientists chosen obviously reflect my interests: religion, spirituality, philosophy and ...
Health and Beauty Lensography
Health and beauty go together - at least: health contributes to beauty. Ultimately, for most of us, health is more important. What follows are my lenses ...

Consciousness, Awareness, Psychology & Neurology Headquarters
For lenses about this puzzling topic - both debate lenses and teaching lenses are welcome. However interested I personally am in spiritual growth - this group...
More Art
Inspiring pictures of nature, photographs and posters
Enjoy the pictures of animals in their natural habitat and the scenery of nature. I feel this kind of photography gives a sense of peace to a home. Most of...
Alex Grey
Alex Grey (born November 29, 1953) is an American artist specializing in spiritual and visionary art. There is a clear connection with the world of alternative...

Art, photography and puzzles...
My parents have three kids and I'm the least artistic. That's not saying much, because both my brothers aim to be professional artists. Between the two of them...

B.G. Sharma
Bhanwar lal Girdhari lal Sharma (B. G. Sharma) is an award-winning painter from Rajasthan, India. He is famous for his miniature devotional paintings and his...

Best Beautiful Fractal Books
Fractals are a fascinating field of Mathematics in which patterns get repeated in ever smaller form. What's more, they turn out to describe very different...

Best Fantasy Christmas Gifts, Top ideas for fantasy presents
Whether it's Lord of the Rings, Harry Potter or dragons. I've found posters, collectibles, t-shirts and comforters for you. From Twilight to Lord of...

Best Islamic Art Gifts for Eid ul Fitr
An Art Gift displays class and refinement. Art doesn't necessarily have to be expensive. There are tasteful reproductions, posters, and calendars which wil...
Buddha Figures, busts and Buddhist statues
Buddha figures are everywhere. Buddha heads have become a fashion statement. Buddha statues, really just the next way to show off your spiritual inclination....
Buddhist Goddesses Art by Romio Shrestha
I got 'Goddesses of the celestial gallery' for my birthday (2010). It was quite a chore to take it home: it's almost as tall as this desk! (aka Poster size)...

Byzantine Decorations for Christmas
The Eastern Catholic Church is one of the oldest Churches and along with the Latin Church forms the worldwide Catholic Church. Centuries old traditions have...

Fairies Posters Fantasy Art
Fairies, pixies, gnomes and elves... They stand for magic, imagination, creativity and mystery. Fairies particularly are popular because they are also thought...
FINE art or FOLK art?
FINE art or FOLK art? Fine art and folk art are so hard to define, that even wikipedia gives up on it. Still, fine art is for rich people, upper class, educated....

How to make a mandala
Mandala's are an inspiring spiritual art form. You can get your kids involved with spiritual art in all kinds of ways - from simply coloring preprinted ...
Linda Nelson Stocks Folk Art
With art that reminds me of my favorite children's books growing up, it's no wonder Linda's art sells at several thousand dollars a piece. This page is mostly...

Mandala Meditation Posters
An art form developed in India and Tibet, mandalas have come to be seen as symbols of inner peace and balance. These mandala posters are sometimes based on traditional...
Marjolein Bastin Checkbook Covers
You carry your checkbook around with you every day, but does it have to look so boring? Not if you use a Marjolein Bastin Check Book Cover to hold it. It's...
Marjolein Bastin Collectibles and Gifts
Marjolein Bastin has a love of nature which shines through in her art. She's a family person, with two grown children and several grandchildren. She was born...
New baby pictures, Cute posters and photographs
Who doesn't love pictures of babies? I don't know that anybody does. They're cute, they're cuddly and they give you that warm fuzzy feeling inside. I've found...

Salvador Dali - religiously themed surrealistic art
A madman? A genius? A surrealist painter, but also a realist painter. An atheist, but later converted to Roman Catholicism. Despite the many developments in...

What are fractals? Recursive geometry in nature
On the left you see a version of the most famous fractal of all time: the Mandelbrot fractal. However closely you zoom in, you'll always see roughly the...
Thanks for all your support!
- asking questions
- giving constructive feedback
- voting on my lenses
- buying stuff from my lenses
- linking to any of my web projects
- ... donating money :)
- and being generally supportive :) ;)
People talking about fractals online
- 'Fractal Zooms!' spiral and soar in NH
- A musical kaleidoscope of morphing patterns and fantastic imagery will take visitors at the McAuliffe-Shepard Discovery Center beyond the blueprints of nature and into the ethereal world of imagination in ?Fractal Zooms!,? a new planetarium show ...
- A Fractal A Day Offers 365 Snippet Of Infinity
- But with fractals, confounding mathematical equations can become intriguing, self-similar patterns. So as you magnify a fractal, you'll simply see their details repeated again and again. Fractals are nature's data visualizer--or barber shop ...
- App Detail ยป Fractal : Make Blooms Not War
- From the creators of the award-winning games Auditorium and Pulse: Volume One comes Fractal, a new ambient music puzzler experience. Combo, Chain, and Cascade your way through a pulsing technicolor dreamscape that reacts to your every move, ...
by spirituality
I'm a webmaster and student of religion and spirituality. See my website on religion and spirituality: www.katinkahesselink.net or my spiritual blog: All... more »
Explore related pages
- Horoscope Jewelry, Astrology Zodiac Jewellery Horoscope Jewelry, Astrology Zodiac Jewellery
- Best Dalai Lama Books List 2011, 2012 Best Dalai Lama Books List 2011, 2012
- Best Beautiful Fractal Books Best Beautiful Fractal Books
- Fractal Graphics Art Posters 2011, 2012 Fractal Graphics Art Posters 2011, 2012
- Fractals In Nature Fractals In Nature
- 2012 inspiring pictures of nature, photographs and posters 2012 inspiring pictures of nature, photographs and posters