Multibrot set generator The Mandelbrot set is a two-dimensional set that is defined in the complex plane as the complex numbers for which the function does not diverge to infinity wh The curves are computed using iteration of the function f (z) = z² + c, where z and c are complex numbers. Convergent fractals will render noticeably faster with a larger escape value, but visible blank discs may mar the image. With this tool you can zoom in and explore the fractal, configure key parameters, turn on multi-threading for faster fractal rendering, increase the quality, and save and share links to what you discover. We normally think of the WebGL graphics pipeline as a vertex shader that maps our wireframe of triangles in 3D Sep 17, 2017 · Set your color scheme with complete flexibility to set colors and iteration significance for them. Each curve is the locus of points c where the magnitude of z is equal to 2 after a set number of iterations. It is Java-based, open-source and runs on any major computer platform. Mandelbrot examples can be coded as "XML documents. Jan 3, 2022 · Credit: Multibrot Sets by grahampullan In the Joukowski airfoil post, WebGL was used to render the coloured pressure field and draw the streamlines, but the computation to obtain the flowfield was done in JavaScript. Searle is a digital computer artist with a Bachelor in Fine Arts from the University of Lowell (now U-Mass at Lowell) and a computer programming background. - HWOrion/mandelbrot-1 Fast Maze Solver by Canthiar Multibrot LOL Explore by Canthiar Multibrot LOL by Canthiar Julia Set LOL by Canthiar Mandelbrot Set LOL by Canthiar Another Fractal Viewer by Canthiar Ray Caster Stanford Bunny Model Test by Canthiar Another Full Raytracer for Scratch 1. Run tool A simple Mandelbrot/Multibrot set viewer made in Godot that runs with GPU Shaders. Mandelbrot, multibrot, Julia set and burning ship set generator written in C, with arbitrary precision floating point support. Project about the Mandelbrot set. It results in diverse fractal structures with different branching patterns. This widget displays the mandelbrot set along with two axes. Therefore creating a pattern. You can walk from any point in the set to any other point in the set without ever stepping outside it. With a little change, the M-set plotter can be used to plot J-set. Works in all web browsers that support HTML5. Currently, 29 types of M-set/Multibrot Sets can be plotted. Colors show iterations to divergence; black points converge or cycle. The Mandelbrot set is also vertically symmetric. 0:00 Introduction 0:35 What happens if you In mathematics, a Multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic univariate polynomial family of recursions. [28] Thus, a complex number c is a member of the Mandelbrot set if, when starting with and applying the iteration repeatedly, the absolute value of remains bounded for all . The Multibrot set also starts with , but iterates the function , where is user controlled. Main Page Related Pages Official site for Geoff Swift includes links to Geoff Swift's social network profiles and free software. speed. Yellow dots show orbits. Mar 12, 2023 · • 1 Critical Point • 2 Escape To Infinity • 3 Boundedness • 4 Fast Exponentiation • 5 Perturbation • 6 Implementation # Multibrot Generalisation of Mandelbrot set to arbitrary power N N. Note the equation in the lower-leftto understand how these values correspond with the fractal calculation. Dec 6, 2023 · The orbit dynamics of the set can become more complex when the power is something other than 2. He combines these seemingly opposing skill-sets to create unique computer-generated “fractal” imagery using his own custom computer code. Here are some Julia sets with various values of : Multibrot Another variation of the Mandelbrot set using a user input parameter, , is the Multibrot, which is a generalization of the Mandelbrot set. Mandelbrot at higher powers Written by Paul Bourke February 2004 The traditional Mandelbrot is created by considering the behaviour of the series z n+1 = z n2 + z o for each position z o on the complex plane. js) was used for the graphics. 0. " ― Benoit B. With it, you can magnify selected areas of any of these fractal images – up to a massive magnification of 10 13 (that’s 10,000,000,000,000)! z = z^n+c, with n from 2 to 7, to -7 and back to 2. Easily zoom into portions of the Mandelbrot by selecting a portion of the image. ogv In mathematics, a Multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic univariate polynomial family of recursions. Home show/hide orbits Reset Mandelbrot [Resets to original zoom, doesn't change colour scheme, size or iteration depth values. An interactive explorer for the Mandelbrot set, the Julia set and the burning ship fractal A Multibrot set Generator. Explore the famous fractal on mobile and desktop. Sources There are no source works cited for this Double-Precision WebGL Mandelbrot ViewerMandelbrot Viewer- The Mandelbrot set is drawn in real time using the GPU, with emulated double-precision so you can zoom to 1013. Oct 31, 2024 · The Multibrot Fractal is a family of Mandelbrot'alikes in that the generating functions are a minor modification of the one used for the Mandelbrot Set: (1) f (z) = z 2 + c Mandelbrot (2) f (z) = z k + c Multibrot Notice the only difference is the power, k. The same can be applied to the Julia set, this being called Multijulia set. Use J and K to change the power of the set by whole number increments. Also allows you to preview the Julia set corresponding to any point on the Mandelbrot. Subscribed 210 21K views 4 years ago Blog post about Mandelbrot set and other stuff with fancyh pictures: / experiment-with-mandelbrot-set-and-d-language more Jan 8, 2013 · Detailed Description The MandelbrotView class. [1] [2] [3] The name is a portmanteau of multiple and Mandelbrot set. Hold right click to change the hue. Such a generator is built into this page. Formulae: Mandelbrot set, Julia sets, Multibrot sets and multijulia sets for any power of z, Newtonian fractals for any polynomial, Phoenix fractal, rational maps, Burning Ship fractal and Julia sets. Browser-based fractal artwork creation toolDetails 132 About | Changes | Terms Mandelbrot Coordinates | Popout | Lock Real: -0. In this article, I describe a new algorithm for fractals with a rational exponent, for example z^2. The mathematical functions are recursive but the JS algorithm is implemented iteratively to avoid potential stack overflow Mandelbrot Set generator and fractal viewer. What makes these numbers special is that they follow a particular rule or function. This project started in early March and is on-going due to its relatively broad scope (web languages and mathematical algorithms Jul 24, 2011 · The Third Degree Multibrot Set First off, this new set has some striking similarities to the original Mandelbrot set—it consists of a main body with smaller and smaller attachments, for instance. Through a streamlined interface you explore in real time complex worlds for a unique contemplative experience. Offers two modes of rendering the Mandelbrot set The Online Fractal Generator is a web application for generating fractals using JavaScript, canvas and web workers. In mathematics, a multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic univariate polynomial family of recursions [1][2][3] where d ≥ 2. Flexibly set the limits of your display area and pixelsize. May 8, 2015 · Wildfire is a free and user-friendly image-processing software, mostly known for its sophisticated flame fractal generator. js). An interactive WebGL implementation of the most famous fractal – The Mandelbrot Set. In this video z^n = r^n1 * exp (n2*phi) with different choices for n1 Mandelbrot Maps is an interactive fractal explorer built using React and WebGL. Mar 8, 2015 · Release of my first multibrot fractal explorer, a powerful java program that can be used to render all multibrots accuratley and with functions that allow you to explore, understand and analyse the fractal! Mandelbrot Explorer is free software, allowing the exploration of the Mandelbrot Set and the Julia Sets. Explore Mandelbrot and Julia sets by successive zooms in real time. Sep 11, 2025 · Fast and simple Mandelbrot and Julia explorer. Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels. ] Multibrot / Polynomial Julia set images will be sparser with a larger escape value when the exponent is a negative value. An obvious generalization is to use a different exponent in place of 2 (yielding a fractal sometimes called the Multibrot). About iterations. For the Multibrot Set demo, all the hard work is done by WebGL. Intuitive, easy-to-use Mandelbrot set viewer web app. Mandelbrot Graphic of Multibrot Set The following is a depiction of the complete multibrot $4$ set. " You can copy-and-paste the XML code for an example into this text input box. In mathematics, a Multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic univariate polynomial family of recursions. 📥 Download Here 👈 XenoDream free Download Multibrot set generator Sterling fractal Fractal website Fractint for Mac Mandelbulb Linux Mandelbulb 3D Apophysis The Online Fractal Generator is a web application for generating fractals using JavaScript, canvas and web workers. Online Fractal Generator Fractals presented on this page were generated using this online fractal generator. Customizable Color Palettes: Users can personalize their visual experience by choosing different color palettes. 2 by Canthiar Random Maze Generator With Bold Lines by Canthiar Part 12 CSG 2 The Rolymo, multi-threaded, fractal generator efficiently produces stunning image plots of the Mandelbrot set (and other fractals). Take the time and have fun! Jan 8, 2013 · Interactive Mandelbrot/Multibrot sets generator. 17K subscribers in the fractals community. The set is plotted in the 2D Complex Plane, where the x and y coordinates are the real and imaginary components of the number respectively. The recursive math functions were implemented iteratively to avoid stack overflow. A complete fractal explorer with implementation of panning, zooming, changing iterations, changing colours, saving images and window resisability File:Multibrot. Explore and share your awesome fractal finds in our online gallery! On PC, you pan with the left mouse button and zoom with the scroll wheel or by dragging with the right mouse button. The mouse coordinates are displayed beneath the multibrot set, and the coordinates of c used to generate the image are displayed beneath the Julia set. The Mandelbrot set is the set of complex values c, in which the result of the iterative function f꜀ (z) never becomes arbitrarily large. Can someone show me what I am doing wrong? What can I do to fix this, so that I also get a fractal pattern I can see through zooming? Today, I'm going to show you how to generate customized fractals (you know, those fancy ever-repeating mathematical patterns that pop up everywhere in Nature) and transform them into 3D models. See full list on usefuljs. The Mandelbrot set starts with a point , and then iterates . Browser Issues Because the generator runs under JavaScript, I caution my readers that they need to install a modern browser — a list topped by Google Chrome The Online Fractal Generator is a web application for generating fractals using JavaScript, canvas and web workers. Coloring based on potential, distance estimate, mean z, basins, textures, fibers, and field lines. If you flip the fractal upside-down, it's the same! The Online Fractal Generator is a web application for generating fractals using JavaScript, canvas and web workers. Explore math with our beautiful, free online graphing calculator. 65 i}$. This viewer shows more fractal detail over time by refining iterations to infinity Julia Set and Multijulia Set Plotter (version 6. The iterated function can become multivalued and the structure of the set is then affected by the 'arbitrary' choice of which value is chosen. Integer powers M = 1 z n+1 = z . It uses very fast algorithms for maximum performance and generates high quality anti-aliased images. Juliaand Mandelbrotfractals belong to a type called escape-time fractals. This projects aims to create a webpage that will allow for a dynamic viewing of the Mandelbrot, Julia, Multibrot, and Multi-Julia set. 65 i} {1. [4] Subscribed 210 21K views 4 years ago Blog post about Mandelbrot set and other stuff with fancyh pictures: / experiment-with-mandelbrot-set-and-d-language more Learn Multibrot set facts for kidsThe Multibrot set is a fascinating collection of numbers found in mathematics. The set's location on the complex plane The Mandelbrot set is the uncountable set of values of c in the complex plane for which the orbit of the critical point under iteration of the quadratic map [27] remains bounded. Otherwise, a colour is shown for how close it is to a number that is in the mandelbrot set. Right-click to save images, M to make and save a movie of your zoom path. Navigation buttons to view previous and next images Save Mandelbrot & Co vous permet d'explorer les ensembles de fractles comme Mandelbrot, Julia ou Burning Ship par zooms successifs en (quasi) temps réel. Contribute to Dyzes/Fractal_Generator development by creating an account on GitHub. Mandelbrot. An online HTML5 tool for visualizing, exploring and saving images from Mandelbrot and Julia set fractals. 6 Exponent: 2 Zoom: 1x Formula: z=z²+c Variations: None Method: Auto Precision: Standard Depth: 85 out of 86 (Automatic) Resolution: 1,024 X 569 (Window) Gamma: 1 Threads: 10 Time: 00:00. Choose from a number of different color schemes. Mandelbrot Set Web Applicationpalette 71 place aspect_ratio photo help The aim of this project is to visualize the Mandelbrot/multibrot set and the corresponding Julia/Fatou sets. Mandelbrot MandelbrotAbout Also see Definition:Mandelbrot Set, the set of which this is a generalization Results about multibrot sets can be found here. Choose seedpoint for your bifurcation diagram. h. The name is a portmanteau of multiple and Mandelbrot set. [1][2][3] The name is a portmanteau of multiple and Mandelbrot set. Click "Cancel" or press ESC to cancel. The code is written in the shader language "GLSL ES". By modifying the exponent, users can generate visually distinct variations. It also allows to interact with the set for zooming in. Fraqtive is an open source, multi-platform generator of the Mandelbrot family fractals. You can save and share the link to any fractal you create, change or animate its colours, and generate high quality 4k posters. Set the center point and the outer distance determining when to stop iterating. You can see and modify the underlying code for any fractal by clicking "Show/hide code". "A fractal is a way of seeing infinity. Experience the beauty of mathematics. Source of Name This entry was named for Benoît B. Then, Brouillette and Rochon [2,3] generalized this result to the multicomplex space by establishing that the multicomplex Multibrot set M p n , n ≥ 2, possesses at most nine distinct dynamics The multibrot $4$ set itself is white. The most complex Mandelbrot generators accommodate any number of iterations/colors, permit the user to move around within the set and magnify selected areas, and show sometimes beautiful images. This allows him to explore a whole world of mathematically-generated To draw a multibrot set, you need a small variation in the IsInMandelbrotSet () procedure. Today I decided to launch this project as FOSS (Free and Explore math with our beautiful, free online graphing calculator. Mar 18, 2018 · The MandelBulb does have fractality (? new word) in all directions but the Multibrot still interests me and it does have a simpler to understand formula change than the MBulb. 63 Iterations: 40. Mar 12, 2022 · However, not only does the graph (set of equations) I have made not look like the first graph - when I zoom into the graph I made, I don't see any repeating fractal patterns. Use the arrow keys to change the power of the set by non-whole number increments. This web app accepts any integer power value larger or equal to 2. Come see the pretty side of mathematics! About the Artist Gregory B. net Link to this fractal The Mandelbrot set was first defined as z 2 +c, but any other power will work, such as z 4 +c. HTML5 is used for the page content, CSS is used for styling, and JavaScript (P5. This projects aims to create a webpage that will allow for a dynamic viewing of the Mandelbrot, Julia, Multibrot, and Multi-Julia set with indepth explanation into how they are created. The simple ideas of multiplication and addition reveal endless complexity in the Mandelbrot set. File:Multibrot. For Multibrot set explained In mathematics, a Multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic univariate polynomial family of recursion s. Also note that k need not be an integer. It also packs visualisations for some IFS Fractals over the 3D space (Sierpinski tetrahedron and the Menger Sponge). For every iteration equation of a M-set(or Multibrot set), and every point on the complex plane c(xc,yc), there Multibrot 4 0:09CC Multibrot exponent 0 - 8 In mathematics, a Multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic univariate polynomial family of recursions. Mandelbrot, multibrot and Julia set generator written in C. Fractal Explorer, by James Wilson. May 25, 2021 · We present an analytic solvability of a class of Langevin differential equations (LDEs) in the asset of geometric function theory. The As one looks deeper into science, everything becomes increasingly complex and interesting, just like a fractal. 0) Julia set(J-set) can be generated by many types of complex functions. A fast and powerful app that lets you explore the famous fractal known as the Mandelbrot Set. Even the humble binary AND is hiding Pascal's Triangle, another fractal! Mathematics itself is the fractal of all fractals, and it exists eternally the same, frozen in the fabric of the Mandelbrot Set Fractal Explorer Click to zoom. Credit to user "The Fractalistic" on YouTube for the technique, with a modification to slightly speed up the calculations. Use the scroll wheel to zoom in. The fractal functions are suggested for the multi-parametric coefficients type motorboat fractal set. Online Mandelbrot set viewer for discovering the world of fractals. Background The fractal being displayed above is made up of the Mandelbrot set, which is a set of complex numbers. You can view additional useful information such as the graph axes and the corresponding Julia set for any point in the picture. It also shares many less obvious similarities—for example, both sets are topologically connected. 9 million The Online Fractal Generator is a web application for generating fractals using JavaScript, canvas and web workers. Fractal Creator is available for Windows 10 on Windows store. The analytic solutions of the LDEs are presented by utilizing a special kind of fractal function in a complex domain, linked with the subordination theory. 2} {2. Click and drag on either canvas, and the view will zoom into the resulting square. Controls: Click and drag to move. Definition at line 20 of file mandelbrotview. Hi! Back on 2019 I created a software to visualise the Mandelbrot, Multibrot and Julia sets over the Complex plane (2D). Mandelbrot & Co offers an immersive experience in the world of fractals, objects whose beauty fascinates mathematicians and artists. A multiplayer fractal viewer social experiment. These numbers live in a special place called the complex plane, which is like a map for numbers that have two parts. Allows you to pan and zoom (with tap and pinch), and change the number of iterations with the volume up/down buttons. User control ranges from leaving all settings on their defaults to selecting colour-mapping choices, dimensions, and iteration maximums, amongst other command-line arguments. The Mandelbrot fractal is generated by repeatedly iterating the complex function f (z) = z^2 + c, and testing if the result diverges to infinity or not. Fast, high resolution Zoom, Nice color themes, Fullscreen, PNG export - Touch, Mouse and Keyboard interaction. Multibrot Sets: Beyond the traditional Mandelbrot set, users can explore multibrot sets by adjusting the exponent in the generating formula. If a number is in the set, it is displayed as black. The Online Fractal Generator is a web application for generating fractals using JavaScript, canvas and web workers. We I explain how the Multibrot Set is a generalization of the Mandelbrot Set and how it can be generated by iterating the equation f (z) = z^ (n) + c. - Xhst/multibrot-set The Online Fractal Generator is a web application for generating fractals using JavaScript, canvas and web workers. Several formulas available (Mandelbrot, Julia, Multibrot, Mandelbar, Burning ship, Rudy, and more) Various types of coloring available (Iteration counts, Average coloring methods) The Online Fractal Generator is a web application for generating fractals using JavaScript, canvas and web workers. Try changing k, p, c1, and c0yourself to freely discover fractals on your own. Explore the Mandelbrot Set viewer online with others - Zoom around 2D fractal space in real-time. Jul 14, 2024 · Use panoramic or ordinary images as environment maps for reflection and refraction. 2} \times \closedint {-1. Explores mathematical art and algorithmic beauty. 75 Imaginary: 0 Julia Real: Julia Imag: Diameter: 2. It is basically a change in the way that the new values of a and b are calculated. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. z → z2+c is iterated for each complex number c. Interactive Online Fractals Generator - generates the Mandelbrot Set and Julia Sets based on where the user clicks on the Mandelbrot Set! An offline version is available for download. It allows to create and visualize complex fractals using various coloring techniques and uses WebGL for rendering. The exponent d may be further generalized to negative and fractional values. Oct 16, 2025 · This image visualizes the complex Multibrot fractal set, showcasing intricate patterns generated by iterative mathematical calculations. GitHub Gist: instantly share code, notes, and snippets. Create your own custom Mandelbrot Fractal using this online fractal explorer. The Rolymo, multi-threaded, fractal generator efficiently produces stunning image plots of the Mandelbrot set (and other fractals). Click "Apply" to import the example. The Multibrot set looks a lot like its famous cousin, the Mandelbrot set, and it We would like to show you a description here but the site won’t allow us. A more general equation might be z n+1 = z nM + z o. The region of the complex plane depicted is the rectangle $\closedint {-2. As with any trip, you can come back with photos and even a few short movies to share. The Mandelbrot set is connected, which means that there are no detached pieces. This algorithm More about Mandelbrot Explorer Touch support for tablets and phones. Controls | Help Mandelbrot Set Julia Set Iterations: Zoom: C-Real: 0 C-Imag: 0 Limit: Offset-X: Offset-Y: Color: Blink Frequency: Download Image References: Mandelbrot set reference Julia set reference Visualizer for Multibrot and Julia Sets. Red dots show limit cycles. A nifty little representation of the Mandelbrot set, it's variation, and other fractals This is an upgraded version of the Mandelbrot Set (M-set) plotter, with added features to plot different types of Multibrot Sets. We render Multibrot Fractals using the L function just like we did with the Mandelbrot Set. The "Grab Current Example" button loads the XML for the example that is currently shown in the program; this allows you to save the example (or even edit it by hand). Explore the famous Mandelbrot Set fractal with a fast and natural real-time scroll/zoom interface, much like a street map. Additionally, I created some generalisation of the Mandelbrot and Multibrot sets over the 3D space. 5+c. Click "Custom" to get some simple example code that displays the Mandelbrot set. Program output is 24-bit uncompressed BMP image. Mandelbrot Set generator and fractal viewer. You can zoom in and out and move around to explore this beautiful fractal. Nine formulae: Mandelbrot set, Julia sets, Multibrot and Julia sets for any power of z, Newtonian and Nova fractals, Phoenix fractal, Burning ship and Burning ship Julia sets. An intuitive and detailed Mandelbrot set viewer for fractal enthusiasts and educators. Normally z^n = r^n * exp (n*phi) with r=sqrt (xx+yy) and phi=arctan (y/x). The complex functions used to generate Mandelbrot set(M-set) can also be used to generate J-set. JavaScript (P5. The Multibrot set is a generalization of the Mandelbrot set, where the exponent in the iteration formula is changed. The resulting shapes are less frequently explored, a graphical exploration of M space is given below. Created by Boris Krumov on Oct 16, 2025 using the Atomix XL v4 Lightning AI image generator model. Change the number of iterations used to find the escape value to control detail vs.