background preloader

Mathematical imagery by Jos Leys.

Mathematical imagery by Jos Leys.

http://www.josleys.com/

Related:  Actualité sciences

Mandelbrot Cauliflower Mandelbrot cauliflower Shopping in October, 2006 at Volante Farm, in Needham, MA, I came across this unusual cauliflower. It reminded me of a picture I saw somewhere of a piece of the Mandelbrot set. I doubt that I can find the picture I remember. Master 2 Mathématiques Fondamentales et Applications. TOULOUSE. Bienvenue sur la page du Master 2 Recherche Welcome on the Master 2 Research home page Contacts: For any information you may contact by e-mail one of the three following teachers in charge, choosing the one whose domain of activities seems to be the most suitable Patrick Cattiaux, Probability, Statistics, Maths and Biology Patrick.Cattiaux AT math.univ-toulouse.frFrancesco Costantino, Pure Mathematics Francesco.Costantino AT math.univ-toulouse.frRadu Ignat, P.D.E, Optimization, Scientific calculus Radu.Ignat AT math.univ-toulouse.fr (replace the AT by @, without spaces.)

The Mandelbrot Set : Good Math, Bad Math The most well-known of the fractals is the infamous Mandelbrot set. It’s one of the first things that was really studied *as a fractal*. It was discovered by Benoit Mandelbrot during his early study of fractals in the context of the complex dynamics of quadratic polynomials the 1980s, and studied in greater detail by Douady and Hubbard in the early to mid-80s. It’s a beautiful example of what makes fractals so attractive to us: it’s got an extremely simple definition; an incredibly complex structure; and it’s a rich source of amazing, beautiful images. It’s also been glommed onto by an amazing number of woo-meisters, who babble on about how it represents “fractal energies” – “fractal” has become a woo-term almost as prevalent as “quantum”, and every woo-site that babbles about fractals invariably uses an image of the Mandelbrot set. It’s also become a magnet for artists – the beauty of its structure, coming from a simple bit of math captures the interest of quite a lot of folks.

Para 3D // GFX WARRIOR PARA 3d is a scripted plug-in for 3DS MAX which enables users to create parametric digital models and animations using all excessive modeling features of 3DS MAX and additional controllers available in the plug-in. Learn more:Parametric Array Easy to learn PARA 3D is designed to be as easy and user friendly as possible, and therefore early on it was decided to keep the layout and system similar to Material Editor in 3DMax, so as to cut out any learning/training period once beginning to use this new software. Everything can be done by simply dragging and dropping the chosen tool(s) and manipulating the values to whichever degree is required.There is an almost unlimited combination of tools that can be merged. Efficient as possible PARA 3D has been designed to be as efficient as possible, having as little memory usage as possible. We have managed to make it much liter than Parametric Array 1, even though we now have 28 controllers as opposed to only 5 in the original!

How Mandelbrot's fractals changed the world 18 October 2010Last updated at 14:15 By Jack Challoner Science writer Fractals have become a common sight, thanks to computer imagery In 1975, a new word came into use, when a maverick mathematician made an important discovery. A N D R E S H A R R I S » 0.0 Viscous Morphologies A i m: The aim of the research is the development of structure based on self-forming and self-optimising morphologies derived from the manipulation of viscous materials using both physical experimentation and parametric computation to simulate in a digital environment the physical processes that fluids and other viscous materials that have the ability to harden, undergo under certain pressures. The central Aim is to develop a research based on self-forming and self-optimising viscous morphologies integrating design and performance- H y p o t h e s i s : The research is developed on the assumption that if an integrated design method delivers both physical and digital outputs from the study of viscous material’s behaviour, then high adaptability to complex issues that deal with performance, structure, material use, manufacturing efficiency and complex geometry could be achieved. Underlying assumptions:

Mandelbrot Set The term Mandelbrot set is used to refer both to a general class of fractal sets and to a particular instance of such a set. In general, a Mandelbrot set marks the set of points in the complex plane such that the corresponding Julia set is connected and not computable. "The" Mandelbrot set is the set obtained from the quadratic recurrence equation AL_A News Profile Selected Projects Selected Furniture Archive Writing Recruitment Contact Fruit Bowl Completed as Future Systems for Materialise MGX 2006

fractals ] A Short And Entertaining Introduction to Fractals usually one's first response to fractals is simply this: they are beautiful! indeed, they are visually arresting, and there are many reasons why. perhaps one reason is that they exhibit extreme levels of symmetry, a property we have gravitated toward throughout human history, whether it be in our architectural designs, in our scientific theories, in our religions, or even in the facial structures of the opposite sex. another reason could be that the same self-replicative patterns can be found strewn throughout our natural universe, in vapor trails, snail shells, evergreens, cauliflowers, and snowflakes ... just to name a few. but perhaps most enticing is a reason most people would never guess -- mathematical brevity. many of these stunning patterns are governed by very simple-looking equations consisting of only a few symbols!

Grasshopper For designers who are exploring new shapes using generative algorithms, Grasshopper is a graphical algorithm editor tightly integrated with Rhino’s 3-D modeling tools. Unlike RhinoScript, Grasshopper requires no knowledge of programming or scripting, but still allows designers to build form generators from the simple to the awe-inspiring. What is Grasshopper? Example of a grasshopper model to design a sun shading system Grasshopper (GH) is a programming interface for designer. Instead of using programming languages, it uses a lego-like interface.

Mandelbrot Set - Labix Introduction These snippets compute and draw a graphic representation for the classical Mandelbrot set fractal. Results Running under pygame: Running under a Nokia 770 with pymaemo (also pygame):

Related: