Is there a connection between the mathematics and science, and creation? Fractals have been called the "Thumbprint of God", perhaps they are! The examples below are representive of this spiral form, on several levels of scale, from the microscopic, to galaxies in the universe. This is one of the most common forms represented in the fractals one sees frequently on the internet, and this mathematical shape is pervasive throughout nature as well. One very common fractal shape or form, found in both fractals & throughout nature, is the spiral. From perfect symmetry like a snowflake, to irregular shapes like a tree canopy, fractal geometry can measure and reproduce these unique shapes that are found throughout nature, mathematically. or model, the irregular shape of a cloud formation, or tree outline, or coastline. One could define (or model mathematically) a square, rectangle, triangle etc., but one could not define. The discovery of fractals allowed for defining irregular shapes which could not be defined, or represented before by mathematics. Relative to science, fractals are essentially geometric shapes or forms that are represented in natural objects, from a fern leaf or tree, to a spider web or snowflake, to larger phenomena such as clouds, hurricanes, or even galaxies in space. one can create unique compositions previously unseen to the human eye. These complex images of extraordinary beauty can arise out of fairly simple mathematical formulas, and then by selectively modifying these formulas, changing coloring algorithms, etc. (Pixels are simply little squares which are the smallest display elements that make up the images you see on a computer monitor or television.) A typical fractal image contains millions of these pixels! The formula used for a particular image determines how each pixel in the image is formed and colored. In simple terms, a fractal is a graphical representation of a mathematical equation. Relative to this art form fractals are a unique, digital art form using mathematical formulas to create art with an infinite diversity of form, detail, color and light. Fractals are used especially in computer modeling of irregular patterns and structures found in nature.(1) Fractal Definition: A geometric pattern that is repeated (iterated) at ever smaller (or larger) scales to produce (self similar) irregular shapes and surfaces that cannot be represented by classical (Euclidian) geometry.
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