If we start with some very basic manipulation of the copies (size and position), we end up with something like this: This will enable you to manipulate the objects in each iteration, but they will repeat. The base changes to the initial copies however, will happen to every iteration below, in addition to the manipulation of the main input object. In the process of this algorithmic drawing, a sense of harmony comes to light, which is why many people like looking at these often intricate designs.Lookin' good! Changes to the individual iterations of the fractal wouldn't be possible in a fractal loop, as it is a feedback of the previous iteration - meaning that they are inseparably linked. Wikipedia describes it like this: “Fractals are sometimes combined with evolutionary algorithms, either by iteratively choosing good-looking specimens in a set of random variations of a fractal artwork and producing new variations, to avoid dealing with cumbersome or unpredictable parameters, or collectively.” The more popular sheep live longer and reproduce according to a genetic algorithm with mutation and cross-over.” “Anyone watching one of these computers may vote for their favorite animations using the keyboard. When these computers sleep, the Electric Sheep comes on and the computers communicate with each other by the internet to share the work of creating morphing abstract animations known as sheep. It’s run by thousands of people all over the world and can be installed on almost anything. “Electric Sheep is a collaborative abstract artwork founded by Scott Draves. One of the neatest examples of fractal art in action may be Electric Sheep. That’s why computers do most of the work. (If you are like me, that’s a lot of complex calculation.) They are generated by applying iterative methods to non-linear equations. When it comes to creating fractal art, there’s definitely some science and technology in the mix. Mandelbulbs are a three-dimensional fractal.Fractal terrains generated by random fractal processes (geo and nature shapes).Quaternionic fractals that come from pure mathematics.Fractals created by the iteration of complex polynomials, perhaps the most famous fractals.L-system fractals that come from realistic patterns.Fractal flame which can look kind of like a mandala.Strange attractors with points and patters.IFS (iterated function systems) which are computer drawn in two dimensions.Fractals derived from standard geometry by using iterative transformations on an initial common figure like a straight, triangle, or cube.Wikipedia actually breaks it down into a list of 10 types, which seems to be the best explanation out there. One reason for the popularity of this design element might be research that shows fractal patterns are visually pleasing and even stress-reducing. Within larger fractals, you can almost zoom in and find even smaller pieces of art.įractals can be the basis for beautiful background patterns or single art elements for design projects. ![]() They may have a geometric shape – or contain many shapes therein – or have irregular curves and shapes without symmetry. Most fractal art elements are abstract elements that have an obviously digitally-created look and style. Modern fractal art is created with an algorithm and calculations that create a result that might be a still image, animation, or other type of moving media. (Which isn’t that far off from the old-school model when you consider the relationship between math and algorithms.) While fractals can be an element of nature, mathematical formula, or hand-created, the more modern definition of fractal art extends to images and elements that are digitally created using an algorithm. Many of these patterns and shapes mimic things that might exist in nature, such as the nautilus (nature) as it pertains to the Fibonacci sequence (mathematical).Īnother example of a historical fractal is a mandala. By definition, a fractal element is a geometric pattern that is repeated with smaller and/or larger scales to create irregular shapes and patterns. A fractal is rooted in mathematics and geometry plus visual design.
0 Comments
Leave a Reply. |