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Euclid did a lot of work with geometry

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14y ago

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How do fractals relate to math?

Fractals are a special kind of curve. They are space filling curves and have dimensions that are between those of a line (D = 1) and an area (D = 2).


Who studied points lines angles and planes relate to one another?

Euclid.


Studied how points lines angles and planes relate to one another?

Euclid not Euripides


How are mountains and crystals fractals?

Crystals are usually not fractals.


What are fractals of pi?

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


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.


What are the list of fractals?

There are infinitely many fractals so no list can exist.


How does fractals and chaos theory relate to music?

Fractals and chaos theory relate to music through their inherent patterns and complex structures, which can be reflected in musical compositions. Just as fractals exhibit self-similarity at different scales, musical motifs can recur and evolve throughout a piece, creating a rich tapestry of sound. Chaos theory, with its focus on sensitive dependence on initial conditions, parallels how slight variations in rhythm or harmony can lead to vastly different musical outcomes. This interplay can enhance creativity in music composition and performance, leading to innovative and unpredictable results.


Where were fractals discovered?

Fractals were discovered in 1975 by a scientist names Benoit Mandelbrot.


What do Hollywood special effects have to do with fractals?

Fractals are used for computer generated terrains.