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Fractals
"Fractals are mathematical constructions of fractal geometry, a relatively new geometric form only discovered/defined in the 1970's by Benoit Mandelbrot who actually coined the term ""fractal"". Previously considered mathematical ""monsters"" fractals were largely ignored by mathematicians as they behaved in ways that were difficult to describe/define, in particular they were ""monster"" curves that were non-differentiable. Benoit Mandelbrot deliberately got a job at IBM in the 1970's so he could gain access to the computing power necessary to study these objects in more detail and since his initial studies Fractal Geometry has become part of every branch of science and given rise to the increasingly popular Fractal Art medium.
203 Questions
Does a rectangular prism have 4 faces that are square and 2 faces that are rectangles?
Not necessarily. It can have 6 rectangular faces.
What is Benoit Mandelbrot most well known for?
Benoit Mandelbrot is most well known for his discovery of patterns in nature, which he termed "fractals". Mandelbrot, now deceased, was a mathematician who primarily studied advanced geometry. His "Theory of Roughness" was formed when he found infinitely repeating patterns in mountain ranges and coastlines.
Are the Torus the Vector equilibrium the Phi spiral or Fractals related?
The Torus vector equilibrium is a vortex by which nature forms energy into matter. The Phi spiral also known as the Golden ratio is commonly found in nature. At this time there is no link between the torus vector equilibrium and the phi spiral, although a link between the two has not been disproved.
Where is it possible to view different fractal patterns?
There are a variety of online sites which contain pictures of fractal patterns and lists of places where fractal patterns can be seen in nature. The web domain FractalFoundation, for example, provides this service.
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.
Which object found in nature demonstrates the properties of a fractal?
Some examples: a coastline, the tributaries of a river, a branching tree, a snowflake.
Some examples: a coastline, the tributaries of a river, a branching tree, a snowflake.
Some examples: a coastline, the tributaries of a river, a branching tree, a snowflake.
Some examples: a coastline, the tributaries of a river, a branching tree, a snowflake.
How many triangles can be drawn from 6 points where 4 of them are in straight line?
There are 16 possible triangles.
How do you makes 5 triangles moving 6 toothpicks with 12 toothpicks?
To create 5 triangles using 6 toothpicks from a total of 12, you can form a geometric structure known as a tetrahedron. Start by using 6 toothpicks to create the tetrahedron, which consists of 4 triangular faces. Each face of the tetrahedron counts as one triangle, and by strategically placing the toothpicks, you can also include additional triangles formed by the intersections within the structure, thus achieving a total of 5 triangles. The remaining 6 toothpicks can be set aside or used for further constructions.
There isn't one; C is strictly non object oriented. Although C++ is often considered to be an object-oriented extension for C (it was originally called C with Classes), it would be more accurate to describe them as siblings. The two have evolved separately and while they still retain a high-level of compatibility through their common ancestry, they are not the same language.
Sierpinski Gasket
What are 2 examples of fractals?
I am a kid, so I might not nail it, but some examples are the dragon curve and julia set.
