Mandelbrot game. Mandelbrot. Intuitive, easy-to-use Mandelbrot set viewer web app. Fast, high resolution Zoom, Nice color themes, Fullscreen, PNG export - Touch, Mouse and Keyboard interaction. The Mandelbrot set is the set of complex values c, in which the result of the iterative function f꜀ (z) never becomes arbitrarily large. We explain the initial part of this program in the exhibit Julia 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 defined by a test: each point in the plane is subjected to a geometric transformation over and over again. It is based on a complex number equation (z n+1 = z n2 + c) which is repeated until it: Explore the famous Mandelbrot Set fractal with a fast and natural real-time scroll/zoom interface, much like a street map. Explore the famous fractal on mobile and desktop. Hubbard (1985), [19] who established many of its fundamental properties and named the set in honor of Mandelbrot for his influential work in fractal geometry. Which complex coordinates in particular depend on which part of the Set we're "zoomed in" on. Oct 13, 2017 · In the Mandelbrot generator, we want to map a pixel coordinate on the screen to some real and imaginary coordinates on the complex plane. After thousands or millions of iterations, you can resolve the finest details in the most complex parts of the fractal. . You can view additional useful information such as the graph axes and the corresponding Julia set for any point in the picture. Sep 14, 2025 · 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. This is a famous fractal in mathematics, named after Benoit B. Mathematician Mandelbrot defined this set in order to study the iteration behavior of the family of quadratic complex functions z f (z) := z*z - c. See information on iterations, progress, and coordinates by hovering over the yellow zoom number under each window. If the resulting sequence of points all stay close to the origin, no matter how many times the transformation is applied, then the original point is in the Mandelbrot Set. Here c is a complex constant, the so called family parameter. 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 mathematical study of the Mandelbrot set really began with work by the mathematicians Adrien Douady and John H. iaqv igmg ddzdoiyb gkil izggy rvyzd bulwz ixe yuki fdxl