Geometry.Net - Basic_M: Mandelbrot Fractals


Home - Basic_M - Mandelbrot Fractals

e99.com Bookstore

Images

Newsgroups

21-40 of 107 Back | 1 | 2 | 3 | 4 | 5 | 6 | Next 20

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Mandelbrot Fractals: more books (53)

Fractals in Geophysics by Christopher H. Scholz, 1989-10
From Newton to Mandelbrot: A Primer in Theoretical Physics with Fractals for the Personal Computer by Dietrich Stauffer, H.Eugene Stanley, 1995-10-26
Fractal Geometry And Applications: A Jubilee Of Benoit Mandelbrot (Proceedings of Symposia in Pure Mathematics)
Fractal Art Postcard Book: The Mandelbrot Set (Postcard Portfolio) by Mandelbrot Set, 1998-07-28
Fractal Theory and Benoit Mandelbrot: An entry from Gale's Science and Its Times by David Tulloch, 2001
A new digital signature scheme based on Mandelbrot and Julia fractal sets.: An article from: American Journal of Applied Sciences by Mohammad Ahmad Alia, Azman Bin Samsudin, 2007-11-01
Fractals: Fractal, Cantor set, Brownian motion, Sierpinski triangle, Mandelbrot set, Fractal compression, Sierpinski carpet
Fractal (Mandelbrot and Julia) zero-knowledge proof of identity.: An article from: Journal of Computer Science by Mohammad Ahmad Alia, Azman Bin Samsudin, 2008-05-01
Benoit B. Mandelbrot: An entry from Gale's Science and Its Times by Adrienne Wilmoth Lerner, 2001
Les objets fractals: Forme, hasard et dimension (Nouvelle bibliotheque scientifique) (French Edition) by Benoit B Mandelbrot, 1989
Fractal Geometry and Analysis: The Mandelbrot Festschrift, Curacao 1995
Fractals: An entry from Macmillan Reference USA's Macmillan Reference USA Science Library: Mathematics by Óscar Chávez, Gay A. Ragan, 2002
Mandelbrot, Benoit B.: An entry from Macmillan Reference USA's Macmillan Reference USA Science Library: Mathematics by Gay A. Ragan, Óscar Chávez, 2002
Professor Devaney Explains The Fractal Geometry of the Mandelbrot Set (VHS Tape) by Robert L. Devaney, 1996

lists with details

Basics Of Julia & Mandelbrot With Code -- MN Karthik
Julia and mandelbrot fractals. This page has 4 sections containing code for Mandelbrot in Java C and Julia in Java C. You
http://www.metlin.org/pgms/gfrac.html

Extractions: And oh, by the way the code is far from clean or being optimised. So please do mail me if you find any errors or have any interesting suggestions. You can contact me at mnkarthik@yahoo.com Mandelbrot (Java) Mandelbrot (C) Julia (Java) Julia (C) Whew! That's about it!!! Do not hesitate to mail me if you have any questions or comments or a cool idea(umm!!!!) to share. You can contact me at mnkarthik@yahoo.com
MANDELBROT
mandelbrot. Home Page. Links. Books. Info. Explanation. Map. Fractalus. MB fractals. Fractal Arts. Fractal Domains. Fractal Music Lab. FractalArt. MuSoft. Fractal Modeling Tools. Fractal Wisdom. Fantastic fractals
http://www.mandelbrot.com/
Mandelbrot Set And Fractals
mandelbrot. Water. Rockets. SIRDS. Weird. TrueType. Fonts. FS98. UFO. Recipes. Hamster. WebCam. Computer. Security. Public. Key. Site Map. Links. EMail. fractals fractals. fractals have always
http://ourworld.compuserve.com/homepages/pagrosse/mandelb.htm

Extractions: Fractals Fractals have always been interesting to people who like to explore but getting your hands on a program that will let you do that has always been a problem. The link at the bottom of this page allows you to download a copy of my mandelbrot program which is postcardware (you send me a post card to license it) Technical Mumbo Jumbo:- ) as well as a number of more esoteric fractals. Exploration is not limited to the x : i plane but extends to the y : z plane as well giving you Julia sets and Fatou Dusts reflecting the earlier work of the mathematicians Gaston Julia and Pierre Fatou whilst extending it into higher order mappings. Background Mumbo Jumbo:- E xisting between the -1 and +1 in four dimensions, the ginger bread man fractal figures of the Mandelbrot set (based on two of the planes, the x plane and the imaginary plane) have become familiar to us all.
Dynamical Systems And Technology Project
topics in mathematics (chaos, fractals, dynamics) into the classroom, and as iteration, fractals, iterated function systems (the chaos game), and the mandelbrot and Julia
http://math.bu.edu/DYSYS

Extractions: Boston University Zooming Sierpinski This project is a National Science Foundation sponsored project designed to help secondary school and college teachers of mathematics bring contemporary topics in mathematics (chaos, fractals, dynamics) into the classroom, and to show them how to use technology effectively in this process. At this point, there are a number of Java applets available at this site for use in teaching ideas concerning chaos and fractals. There are also several interactive papers designed to help teachers and students understand the mathematics behind such topics as iteration, fractals, iterated function systems (the chaos game), and the Mandelbrot and Julia sets. This is an interactive site designed to teach the mathematics behind the Mandelbrot and Julia sets. It consists of a series of tours in which you will discover some of the incredibly interesting and beautiful mathematics behind these images. The site is designed to be used by readers of
Efg's Fractals And Chaos Page
Several Fractal and Chaos projects, including Evolution of mandelbrot Set, Fractal Discovery Lab, IFS images, Lorenz and other Strange Attractors.
http://www.efg2.com/Lab/FractalsAndChaos

Extractions: Art Gallery, Microscope, Movies, Tools, Library Fractals Show 2 Fractals, Chaos, Mandelbrot Set, Julia Set, Biomorph, Rainbow, WavelengthToRGB, pf32bit, Delphi Sierpinski Triangle Gasket Sierpinski triangle, Sierpinski gasket, fractals, self-similarity, Hausdorff dimension, digital pantograph, world-to-pixel mapping, recursion von Koch Snowflake von Koch curve, von Koch snowflake, fractals, self-similarity, Hausdorff dimension, digital pantograph, world-to-pixel mapping, recursion Chaos Program Description Files Keywords Iterated Function System to create four ferns (Also see, Mathematical Recreations
Introduction To The Mandelbrot Set
cover If you re interested in learning more about the mandelbrot set, fractals, and chaos theory I highly recommend reading James Gleick s classic book Chaos
http://www.olympus.net/personal/dewey/mandelbrot.html

Extractions: This page has been moved to http://www.ddewey.net/mandelbrot/ . The version here will no longer be maintained or updated. Please update your links. A guide for people with little math experience. By David Dewey According to Web-Counter you are visitor number since November 02, 1996. The Mandelbrot set, named after Benoit Mandelbrot, is a fractal . Fractals are objects that display self-similarity at various scales. Magnifying a fractal reveals small-scale details similar to the large-scale characteristics. Although the Mandelbrot set is self-similar at magnified scales, the small scale details are not identical to the whole. In fact, the Mandelbrot set is infinitely complex. Yet the process of generating it is based on an extremely simple equation involving complex numbers. The Mandelbrot set is a mathematical set, a collection of numbers. These numbers are different than the real numbers that you use in everyday life. They are complex numbers . Complex numbers have a real part plus an imaginary part . The real part is an ordinary number, for example, -2. The imaginary part is a real number times a special number called
Welcome To The Fractal EXtreme Web Site
Win32 shareware program for exploration of the mandelbrot set and other fractals.
http://www.cygnus-software.com/

Extractions: Fractal eXtreme News: December 2003 a bug fix version of Fractal eXtreme was released. As usual this is a free upgrade for registered customers. November 2003 a bug fix version of Fractal eXtreme was released. As usual this is a free upgrade for registered customers. October 2003 a new version of Fractal eXtreme was released. As usual this is a free upgrade for registered customers. February 2002 a bug fix version of Fractal eXtreme was released. November 2001 a brand new version of Fractal eXtreme was released. This new version has many new features, including antialiased fractals and zoom movies, and an improved way of purchasing Fractal eXtreme January 1, 2001 Improved zoom movie player now has OpenGL support for vastly improved animation quality and much higher frame rates. Download the new zoom movie player here or download all of Fractal eXtreme here Sep 11, 1999 Improved zoom movie player now has colour cycling and .avi frame rate specification. Download the new zoom movie player here or download all of Fractal eXtreme here March 19, 1998
Math Forum - Fractals - Mandelbrot Set
fractals naturally have a dimension that is not an integer not 1 or 2, but of all possible Julia sets for quadratic functions is called the mandelbrot set a
http://mathforum.org/~sarah/mandelbrot.all.html

Extractions: For the following information (paraphrased from Chapter 1, "A Mathematical and Historical Tour") and much more, see Robert Devaney, A First Course in Chaotic Dynamic Systems. Chaos occurs in objects like quadratic equations when they are regarded as dynamical systems by treating simple mathematical operations like taking the square root, squaring, or cubing and repeating the same procedure over and over, using the output of the previous operation as the input for the next (iteration). This procedure generates a list of real or complex numbers that are changing as you proceed - a dynamic system. For some types of functions, the set of numbers that yield chaotic or unpredictable behavior in the plane is called the Julia set after the French mathematician Gaston Julia, who first formulated many of the properties of these sets in the 1920s. These Julia sets are complicated even for quadratic equations. They are examples of fractals - sets which, when magnified over and over, always resemble the original image. The closer you look at a fractal, the more you see exactly the same object. Fractals naturally have a dimension that is not an integer - not 1 or 2, but often somewhere in between. The black points in graphic representations of these sets are the non-chaotic points, representing values that under iteration eventually tend to cycle between three different points in the plane so that their dynamical behavior is predictable. Other points are points that "escape," tending to infinity under iteration. The boundary between these two points of behavior - the interface between the escaping and the cycling points - is the Julia set.
3D Fractals And Bicomplex Dynamics - Home Of The Tetrabrot
The Tetrabrot is the bicomplex generalization of the mandelbrot set as realized by Dominic 'Ramdam' Rochon. Articles, pictures, news and other downloads.
http://www.3dfractals.com/
Fractal Explorer
Program that can generate polynomial and iteration sets as mandelbrot, Julia, Newton like fractals and orbital fractals.
http://www.eclectasy.com/Fractal-Explorer/index.html

Extractions: Fractal Explorer can render the classical polinomial fractal sets (like the Mandelbrot-set, the Julia-set, the Newton-set and theirs variations), 4D-complex fractals (called «quaternions»), 3D «strange» attractors, and IFS. Also, FE has many features for creation of special effects and improvement of the pictures. Site news: February 23, 2004 The forum , devoted to the Fractal Explorer was created by Barbara "Bubblybabs" and ... Working with FE, image creation and post-processing, bug reports and future wishes are discussed here. You can ask any questions here and quickly receive the answers. December 26, 2003
Fractals Screensaver And Classic Pong Game For Windows
Windows screensaver featuring 3D images, and fractals using mandelbrot and Julia Set. Download demo version.
http://m3dsaver.netfirms.com/
Fractal Explorer
Fractal explorer This World Wide Web (WWW) site illustrates the infinite complexity and beauty of fractals with its interactive introduction to two fractals, the mandelbrot set and Julia sets.
http://rdre1.inktomi.com/click?u=http://www.geocities.com/CapeCanaveral/2854/&am
Mandelbrot Explorer
see it. More fractals can be found at the mandelbrot Exhibition, part of the Virtual Museum of Computing. Panagiotis Christias christia
http://www.ntua.gr/mandel/mandel.html

Extractions: at the Mandelbrot Explorer Gallery Page. Zoom Factor : ZoomIn x16 ZoomIn x8 ZoomIn x4 ZoomIn x2 None ZoomOut x2 ZoomOut x4 ZoomOut x8 ZoomOut x16 Set the Zoom Factor as desired and then click at the point you like to zoom in (or out) in the image area above. Drawing Area : X Min : X Max : Y Min : Y Max : Commands : Alternatively, you can set the desired Drawing Area and press the ``Draw New Area'' button to see it. More Fractals can be found at the Mandelbrot Exhibition , part of the Virtual Museum of Computing Panagiotis Christias NTUA/SoftLab Home Page
Mandelbrot
graphics, mandelbrot who then worked at IBM s Watson Research Center, was able to show how Julia s work is a source of some of the most beautiful fractals
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Mandelbrot.html

Extractions: Benoit Mandelbrot was largely responsible for the present interest in fractal geometry. He showed how fractals can occur in many different places in both mathematics and elsewhere in nature. Mandelbrot was born in Poland in 1924 into a family with a very academic tradition. His father, however, made his living buying and selling clothes while his mother was a doctor. As a young boy, Mandelbrot was introduced to mathematics by his two uncles. Hadamard in this post, took responsibility for his education. In fact the influence of Szolem Mandelbrojt was both positive and negative since he was a great admirer of Hardy and Hardy 's philosophy of mathematics. This brought a reaction from Mandelbrot against pure mathematics, although as Mandelbrot himself says, he now understands how Hardy 's deep felt pacifism made him fear that applied mathematics, in the wrong hands, might be used for evil in time of war. The war, the constant threat of poverty and the need to survive kept him away from school and college and despite what he recognises as "marvellous" secondary school teachers he was largely self taught.
3D Mountains
Shows how to create fractal mountains, 3D mandelbrot and Julia sets, convex, stellated and polyhedra. Uses tiny Java1.1 applets and VRML worlds.
http://www.ibiblio.org/e-notes/3Dapp/Mount.htm
The Mandelbrot Set Anatomy: Contents
A virtual investigation with interactive, animated fractals, articles and fractal math equations.
http://www.ibiblio.org/e-notes/MSet/Contents.htm
Fractals: Mandelbrot, Pictures
The theory of fractals developed from Benoit mandelbrot s study of complexity and chaos. mandelbrot, who is often called the father
http://kosmoi.com/Science/Mathematics/Fractals/

Extractions: EncycloZine Astronomy Biology Chemistry ... Fractals, Googols and Other Mathematical Tales Theoni Pappas The Fractal Murders Mark Cohen Trading Chaos : Maximize Profits with Proven Technical Techniques Justine Gregory-Williams, Bill M. Williams, Marketplace Books Indra's Pearls: The Vision of Felix Klein David Mumford, Caroline Series, David Wright The Computational Beauty of Nature: Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation Gary William Flake Trading Chaos : Applying Expert Techniques to Maximize Your Profits Bill M. Williams, Marketplace Books The Fractal Geometry of Nature Benoit B. Mandelbrot Fractal Geometry : Mathematical Foundations and Applications Kenneth Falconer Fractals John Briggs Heaven's Fractal Net: Retrieving Lost Visions in the Humanities William J. Jackson About Us A - Z Site Map Top Pages ... Cell Phones See also: Encyclo Gallery of Fractals Mathematics Science ... Pictures Sierpinski Triangle In mathematics , a class of complex geometric shapes that commonly exhibit the property of self-similarity, such that a small portion of it can be viewed as a reduced scale replica of the whole. The term fractal is derived from the Latin word fractus ("fragmented," or "broken"). Fractals are distinct from the simple figures of classical, or
Fractal Explorer: Mandelbrot And Julia Sets (by Fabio Cesari)
A fractal tutorial for beginners. Covers mandelbrot and Julia sets, as well as 4D fractals. Also features an interactive fractal generator.
http://www.geocities.com/fabioc

Extractions: You can always access this no-frames version of this site. If you have troubles accessing it, please let me know Many people have probably been fascinated by the infinite complexity and beauty of fractals. I wrote this brief tutorial to explain, in simple terms, how the Mandelbrot set and Julia sets are generated. This document provides an informal introduction to these subjects, and is only intended to be a starting point to learn more about fractals and fractal geometry.
The Fractal Microscope
NCSA) for exploring the mandelbrot set and other fractal patterns can appreciate the beauty of the fractals encompassed in the mandelbrot set without the specific mathematics behind
http://www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html

Extractions: The Fractal Microscope is an interactive tool designed by the Education Group at the National Center for Supercomputing Applications (NCSA) for exploring the Mandelbrot set and other fractal patterns. By combining supercomputing and networks with the simple interface of a Macintosh or X-Windows workstation, students and teachers from all grade levels can engage in discovery-based exploration. The program is designed to run in conjunction with NCSA imaging tools such as DataScope and Collage. With this program students can enjoy the art of mathematics as they master the science of mathematics . This focus can help one address a wide variety of topics in the K-12 curriculum including scientific notation, coordinate systems and graphing, number systems, convergence, divergence, and self-similarity. Many people are immediately drawn to the bizarrely beautiful images known as fractals . Extending beyond the typical perception of mathematics as a body of sterile formulas, fractal geometry mixes art with mathematics to demonstrate that equations are more than just a collection of numbers. With fractal geometry we can visually model much of what we witness in nature, the most recognized being coastlines and mountains. Fractals are used to model soil erosion and to analyze seismic patterns as well. But beyond potential applications for describing complex natural patterns, with their visual beauty fractals can help alter students' beliefs that mathematics is dry and inaccessible and may help to motivate mathematical discovery in the classroom.
The Math Forum: Mathematical Figures By Robert M. Dickau
Robert M. Dickau's page. The fractals and Chaos section has figures of attractors, Lsystems in 2 and 3 dimensions, Sierpinski gaskets, bifurcation, and Julia and mandelbrot sets. Includes Mathematica code.
http://mathforum.org/advanced/robertd/index.html

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

21-40 of 107 Back | 1 | 2 | 3 | 4 | 5 | 6 | Next 20