Fractal geometry

Dive into the world of fractals with this comprehensive article on fractal art, geometry, and patterns. See stunning examples and learn about the history and applications of these complex mathematical shapes. Explore the beauty and complexity of fractals. Don't miss this must-read resource on everything fractal!

Figure 5: Examples of fractal shapes. Diagram: author. - "The Dual Language of Geometry in Gothic Architecture: The Symbolic Message of Euclidian Geometry versus the Visual Dialogue of Fractal Geometry"

SCIENCE and geometry have always progressed hand in hand. In the 17th century, Johannes Kepler found that he could represent the orbits of the planets around the Sun by ellipses. This stimulated Isaac Newton to explain these elliptical orbits as following from the law of gravity. Similarly, the back-and-forth motion of a perfect pendulum is …

Prime Numbers Visualization. A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. Primes are special numbers, then what makes primality so special? Don Zagier, an eminent specialist, said: Upon looking at these numbers, one has the feeling of being in the presence of one of the inexplicable secrets of Creation. This image is created using circles with consecutive prime number diameters stacked on top of each other and…

Another very useful application for fractal processes is to create 3D vegetation for your models. There are several very good commercial products which use algorithms to create plants, which combin…

fractal equation | ... some geometric fractals. Well examine the Koch Curve fractal below

A fractal is defined as a "rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," according to their "discoverer" Benoit Mendelbrot (Nov. 20, 1924 – Oct. 14,...