Galleries#
Gallery #1: Mandelbrot Set using Stripe Algorithms#
View the full gallery: Gallery #1
Gallery #1 consists of images of portions of the Mandelbrot Set (\(z \leftarrow z^2+c\)) using a stripe rendering algorithm. Sample images to this gallery are below.
Gallery #2: Mandelbrot Set using Various Algorithms#
View the full gallery: Gallery #2
Gallery #2 consists of images of portions of the Mandelbrot Set (\(z \leftarrow z^2+c\)) using a verity of rendering algorithms and combinations of rendering algorithms. Main rendering algorithms used include iteration, distance, curvature, and stripe. Sample images to this gallery are below.
Gallery #3: \(z \leftarrow z^3 + c\) using Various Algorithms#
View the full gallery: Gallery #3
Gallery #3 consists of images of portions of the Mandelbrot-like Set produced by the dynamical system (\(z \leftarrow z^3+c\)) using a verity of rendering algorithms and combinations of rendering algorithms. Main rendering algorithms used include iteration, distance, curvature, and stripe. Sample images to this gallery are below.
Gallery #4: Newton’s Method and Trigonometric Systems#
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Gallery #4 consists of images of portions of the sets produced primarily by the dynamical systems \(z \leftarrow c \sin(z+c)\) and \(z \leftarrow \sin(c+z^2)+\cos(c+z^2)\) as well as a couple Newton’s Method convergence fractals for \(\sin(z)\) and \(z^5-1\). The renderings use a verity of algorithms and combinations of these rendering algorithms. The main algorithms that were used in these images were iteration and distance. Sample images to this gallery are below.
Gallery #5: More Newton’s Method and Trigonometric Systems#
View the full gallery: Gallery #5
Gallery #5 consists of images of portions of the sets produced primarily by the dynamical system \(z \leftarrow \sin(z^2) + c\) as well as a couple Newton’s Method convergence fractals for \(z^5-1\). A large portion of those produced by \(z \leftarrow \sin(z^2) + c\) were done on the inverse complex plane. The renderings use a verity of algorithms and combinations of these rendering algorithms. The main algorithms that were used in these images were iteration, curvature, and distance. Sample images to this gallery are below.
