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How have fractals effected science?

Fractals that which includes the fourth dimension and with which we can identify that our body's veins and nature are self similar.


Fractals are objects that are composed of what kind of elements?

self-similar


What are the types of fractals?

Fractals can be categorized into several types, including self-similar fractals, which exhibit the same pattern at different scales, and space-filling fractals, which cover a space completely. Other types include deterministic fractals, generated by a specific mathematical formula, and random fractals, which are created through stochastic processes. Notable examples include the Mandelbrot set and the Sierpiński triangle. Each type showcases unique properties and applications in mathematics, nature, and art.


How are tessellations related to math?

Its trigonometry. Tessellations are shapes.


What are fractals of pi?

Pi is a number. There are no fractals of pi.


How are mountains and crystals fractals?

Crystals are usually not fractals.


Who discovered tessellations?

Johannes Kepler discovered and studied tessellations.


What are shapes that fit together with no gaps called?

Shapes that fit perfectly together are called a tessellation.


Are fractals real and how do they manifest in nature?

Fractals are real mathematical patterns that repeat at different scales. They manifest in nature through shapes like ferns, clouds, and coastlines, where similar patterns are seen at both small and large scales.


Who has made the most fractals?

Nobody. Fractals are not owned by anyone!


When was The Beauty of Fractals created?

The Beauty of Fractals was created in 1986.


What are some common techniques for generating fractals?

Some common techniques for generating fractals would be to use iterated function systems, strange attractors, escape-time fractals, and random fractals.