Is fractal geometry useful?
Is fractal geometry useful?
Fractal geometry has become very useful in the understanding of many phenomena in various fields such as astrophysics, economy or agriculture and recently in medicine.
Is fractal geometry is the newest branch of geometry?
The Father of Fractal Geometry, is one of the newest branches of geometry. A fractal is a figure or surface generated by successive subdivisions of a simpler polygon or polyhedron, according to some iterative process.
Who introduced fractal geometry in 1975?
Benoit Mandelbrot
Benoit Mandelbrot was an intellectual jack-of-all-trades. While he will always be known for his discovery of fractal geometry, Mandelbrot should also be recognized for bridging the gap between art and mathematics, and showing that these two worlds are not mutually exclusive.
How was fractal geometry discovered?
According to Pickover, the mathematics behind fractals began to take shape in the 17th century when the mathematician and philosopher Gottfried Leibniz pondered recursive self-similarity (although he made the mistake of thinking that only the straight line was self-similar in this sense).
How is fractal geometry related to modern computing?
Important applications also appear in computer science because fractal geometry permits us to compress images, and to reproduce, in virtual reality environments, the complex patterns and irregular forms present in nature using simple iterative algorithms executed by computers.
Which applications of fractal geometry do you see as most important why?
Join us as we explore the top five applications of fractals.
- Fractal cities. Some cities tend to grow in fractal patterns over time and are called fractal cities.
- Fractal medicine. Knowledge of fractals is especially useful in medical diagnoses, including for cancer.
- Image compression and resolution.
- Antennas.
- Art.
What are fractals in real life?
Some of the most common examples of Fractals in nature would include branches of trees, animal circulatory systems, snowflakes, lightning and electricity, plants and leaves, geographic terrain and river systems, clouds, crystals.
How are fractals used in the real world?
Fractals are used to model soil erosion and to analyze seismic patterns as well. Seeing that so many facets of mother nature exhibit fractal properties, maybe the whole world around us is a fractal after all! Actually, the most useful use of fractals in computer science is the fractal image compression.
Why are fractals useful?
Why are fractals important? Fractals help us study and understand important scientific concepts, such as the way bacteria grow, patterns in freezing water (snowflakes) and brain waves, for example. Their formulas have made possible many scientific breakthroughs.