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3D Fractals

Mathematical Imagery, by Jos Leys. Intricate 3D fractals, featuring the Mandelbulb, the Mandelbox, and the Mandelbar.
posted by Chocolate Pickle on Jan 1, 2014 - 12 comments

 

"Mrs Chater demanded satisfaction and now you demand satisfaction."

Tom Stoppard's "Arcadia," Twenty Years Later. Novelist Brad Leithauser muses on "the finest play written in my lifetime": One sign of "Arcadia"'s greatness is how assuredly it blends its disparate chemicals, creating a compound of most peculiar properties. The play’s ingredients include sexual jealousy and poetasters and the gothic school of landscape gardening and duelling and chaos theory and botany and the perennial war between Classical and Romantic aesthetics and the maturing of mathematical prodigies. [more inside]
posted by Cash4Lead on Aug 9, 2013 - 39 comments

Visualizing Numbers with WebGl

How To Fold a Julia Fractal. A beautiful interactive introduction to complex numbers, fractals and waves. (Requires WebGL). To Infinity And Beyond is a similar introduction to calculus.
posted by empath on Jul 11, 2013 - 33 comments

That which does not kill us makes us stronger

> comp.basilisk - Frequently Asked Questions :: Is it just an urban legend that the first basilisk destroyed its creator?
Almost everything about the incident at the Cambridge IV supercomputer facility where Berryman conducted his last experiments has been suppressed and classified as highly undesirable knowledge. It's generally believed that Berryman and most of the facility staff died. Subsequently, copies of basilisk B-1 leaked out. This image is famously known as the Parrot for its shape when blurred enough to allow safe viewing. B-1 remains the favorite choice of urban terrorists who use aerosols and stencils to spray basilisk images on walls by night. But others were at work on Berryman's speculations...
[more inside]
posted by Rhaomi on Nov 6, 2011 - 88 comments

Pre-fractal art

Fractals may have become a cliche in modern computer graphics, but they have a long and rich history in art.

Before anybody even knew Mandelbrot, artists were seeing fractals in nature and transferred the patterns in painting, design and sculpture. Fractals, as you may know, are geometric patterns that are repeated on smaller and smaller scales to produce intricate designs, through self-similarity, described by the Mandelbrot Equation.
posted by Leisure_Muffin on May 10, 2011 - 22 comments

Infinite diversity in infinite combinations

Since they were first discovered just a few years ago Mandelbulbs (a remapping of the 2D Mandelbrot set into 3D space) have grown in diversity, becoming more exotic, ornate, and animated. They’ve even inspired their own fanbase and usergroups. [more inside]
posted by Bora Horza Gobuchul on Mar 25, 2011 - 35 comments

The deeper you go, the deeper you need to go.

Fractal Lab is an interactive WebGL fractal generating app that allows you to virtually explore 3D fractals in a web browser (Chrome or the latest Firefox 4 beta). [more inside]
posted by crunchland on Mar 7, 2011 - 20 comments

Finite formula found for partition numbers

New math theories reveal the nature of numbers [1,2] - "We prove that partition numbers are 'fractal' for every prime. These numbers, in a way we make precise, are self-similar in a shocking way. Our 'zooming' procedure resolves several open conjectures, and it will change how mathematicians study partitions." (/.|via) [more inside]
posted by kliuless on Jan 22, 2011 - 45 comments

Geometry, Surfaces, Curves, Polyhedra

Geometry, Surfaces, Curves, Polyhedra (many of which are beautiful) l Google Earth Fractals l fractals and chaos. [more inside]
posted by nickyskye on Nov 1, 2010 - 5 comments

My fractal in a box

Take a trip through the Mandelbox. (You may wish to hit mute and provide your own sound.) Make your own with Mandelbulber. [more inside]
posted by Burhanistan on Oct 7, 2010 - 34 comments

You may think it's a long way down the road to the chemist's, but that's just peanuts to the Mandelbrot

Last Lights On - a zoom down into the Mandelbrot set to 6.066 e228 (2^760) [more inside]
posted by fearfulsymmetry on Sep 3, 2010 - 29 comments

Gestalt: Director's Cut

The sublime fractal-based short film Gestalt (previously) has been re-rendered in high definition. Go forth and iterate.

Also, don't miss Fleischfilm's newer, and similarly unnerving Energie! - also in HD. In case you lose patience, it really starts to blow up around the minute mark. [more inside]
posted by BlackLeotardFront on Sep 1, 2009 - 24 comments

Fractal art

40 fractals created with Apophysis, a freeware fractal flame generator. [more inside]
posted by Upton O'Good on Jan 12, 2009 - 18 comments

Would you like to buy an fuzzy multi-instanton knot?

"...the best place to hide bulls**t is in a refereed journal that’s not open-access!" The math-physics blog n-category cafe digs into the curious case of M.S. El Naschie. El Naschie is editor-in-chief of the journal Chaos, Solitons, and Fractals, published by the well-respected scientific publisher Elsevier and sold to academic libraries for US$4,520 a year. The problem? El Naschie has published 322 of his own papers in the journal -- papers that John Baez (of "This Week's Finds in Mathematical Physics" and "The Crackpot Index") describes as "vague, dreamlike imagery," "undisciplined numerology larded with impressive buzzwords," and "total baloney." Is El Naschie a reverse Sokal? Or a Markov process for producing random publishable papers? One thing's for sure -- he knows how to cure cancer.
posted by escabeche on Nov 12, 2008 - 49 comments

you really should watch this.

Hunting the Hidden Dimension. You may be familiar with fractals, but in this PBS Nova episode, divided online into 5 parts, fractals go beyond the impossible zoom of the Mandelbrot set. Scientists are using fractals to describe complex natural occurrences, like lava, capillaries, and rain forests. In part 5, scientists measure one tree in the rain forests, and the distribution of small and large branches mirror the distribution of small and large trees. Fractals, it seems, are nature.
posted by plexi on Nov 2, 2008 - 43 comments

My eyes!

Paul Nylander's home page is garish and busy, but full of interesting tidbits about fractals, insects, physics, and other things.
posted by owhydididoit on May 29, 2008 - 16 comments

Lovely, edible fractals.

Sierpinski Cookies. Also: Fimo Fractals.
posted by signal on Apr 12, 2008 - 8 comments

Cut The Knot

Interactive mathematics miscellany and puzzles, including 75 proofs of the Pythagorean Theorem, an interactive column using Java applets, and eye-opening demonstrations. (Actually, much more.)
posted by parudox on Dec 1, 2007 - 11 comments

strange attractors

Chaoscope fractals showcase the beauty of chaos. Flame fractals.
posted by nickyskye on Apr 8, 2007 - 16 comments

Gallery

Riemann's Curve, Airfoils, Complex Roots, More.
posted by Kwantsar on Dec 14, 2006 - 19 comments

Mandelbrot on Fractals as A Theory of Roughness.

A talk with Benoît Mandelbrot, entitled Fractals in Science, Engineering and Finance (Roughness and Beauty) [video, 80mins, realplayer] about fractals as A Theory of Roughness.
posted by MetaMonkey on Dec 3, 2006 - 5 comments

Fractal Bacteria

These images remind us never to underestimate our opponent. -- The science behind the art (.pdf). Fractal art by way of bacteria growin' in a petri dish. A few more images here.
posted by Gator on Mar 7, 2006 - 7 comments

fractal desktop

Here are some nice fractal desktop pictures.
posted by obeygiant on Feb 26, 2006 - 38 comments

They're not just for breakfast!

Fractal Eggs and how to make them.
posted by WolfDaddy on Aug 26, 2005 - 19 comments

MARGE! You're soaking in it!

Fractal animation videos. Tune in. Turn on. Drop in on a dripping skirling-swirling pulsating orgy of self-transforming recursive math. Some with fractal music. (Non-embedded mpeg-1 and mpeg-2 files, like God intended.)
posted by loquacious on Aug 7, 2005 - 15 comments

tune smithy !

tune smithy ! Create beautiful snowflake like fractal music.
posted by svidrigailov23 on Jun 21, 2005 - 4 comments

4-D fractal film

Video: 4-dimensional quaternions (group of fractals) are visualized by projecting them into three-dimensional space. (x[n+1]=x[n]^p, baby.
posted by signal on Jun 16, 2005 - 21 comments

Buddhabrot

The Buddhabrot Set is a re-visualization of the Mandelbrot Set, created with a rendering technique invented by Melinda Green, who further extended it to create the Buddhagram. [Via MonkeyFilter.]
posted by homunculus on Feb 4, 2004 - 15 comments

fractals

fractal-recursions... huge gallery of images and animations made with ultra-fractal (for windows).
posted by crunchland on Aug 12, 2003 - 19 comments

Who would guess that art and insects and spiders can go hand in hand? We have art made using insect larvae, mygalomorph patterns, fractal insects, cool insects for sale, virtual insect art, and insect and spider stamps. What's you favorite insect art?
posted by Morphic on Nov 7, 2002 - 12 comments

Recreational mathematics and fractal graphics continue to stimulate the mind and foster student interest in mathematics. Some favorite authors & books in this area include: Martin Gardner's books (like The Colossal Book of Mathematics and The Night is Large), Cliff Pickover's books (like The Mathematics of Oz and The Zen of Magic Squares), Calvin Clawson's Mathematical Mysteries, Ian Stewart's books and puzzles, and Ivars Peterson's writings (like Islands of Truth). What are your favorite books and web sites in this area for stretching the mind and eye?
posted by Morphic on Nov 1, 2002 - 25 comments

HOP

HOP draws beautiful abstract images and real-time animations, based on "strange attractor" formulas, enhanced by mathematical and graphical special effects. It's a unique interactive fractal generator, but doubles as a cute screensaver if you're feeling lazy (runs in DOS/windows).
posted by walrus on Feb 7, 2002 - 2 comments

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