Fractals

Yes.

Crystals are usually not fractals.

When the middle third of a line segment is removed and repeated infinitely on the resulting line segments the result is the Cantor Set.

When shifting to 2 dimensions, starting with a triangle, dividing it up into 4 similar smaller triangles and removing the middle triangle results in the Sierpinski Gasket; the limit of colouring Pascal's triangle with the even numbers as black and the odd numbers as white, as the number of rows tends to infinity is the Sierpinski Gasket.

Shifting to 3 dimensions, starting with a cube, dividing it up into 27 smaller cubes and removing the middle cube of each face and the centre cube results in the Menger Sponge.

The Sierpinski Gasket and Menger Sponge are 2 and 3 dimensional analogues respectively of the Cantor Set.

It need not affect it in any way whatsoever.

yes i think so because a fractal is an object that is self-similar

all squares are similar; so are all cubes

Numbers are not fractal so it is not possible to answer the question.

They can be three dimensional, for example, the Menger Sponge. Mathematically, there is no limit to the number of dimensions.

The concept of fractals can be traced back to mathematicians Benoit Mandelbrot and Georg Cantor. Mandelbrot is often credited with popularizing the term "fractal" and demonstrating their applications in various fields.

In social studies, an upside down triangle could represent a pyramid of power or social hierarchy, where those at the top have the most power or authority and those at the bottom have the least. It can be used to visually represent societal structures and relationships.

Fractal writing is a technique where a writer uses repetition, self-similarity, and patterns to create a text that mirrors itself at various levels of scale. It often involves layers of meaning that unfold as the reader progresses through the text, creating a sense of complexity and depth. This technique is inspired by the mathematical concept of fractals, where complex patterns are built from simple repeated shapes.

No.

Fractals are used for computer generated terrains.

It is a property called self-similarity. When you zoom in to a particular part of the fractal you see the same pattern as was visible before the zoom.

5/6 x 4/5 is 2/3.

Ultra Fractal was created in 2006-05.

It is 125.6 square yards, approx.

No, none of them are. Under sufficient magnification you will be seeing individual ice crystals and with any further enlargement, you will no longer have the property of self-similarity.

There is not enough information to provide an answer.

You need to know the coordinates of three vertices before you can find the coordinates of the fourth. Otherwise, there are alternative solutions using translations, reflections and rotations.

Not necessarily. It can have 6 rectangular faces.

An ovoid (egg-shape) is one possible answer. A smooth blob (to use a very technical term!) is another.

No, it is not.

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.

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.

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.

Any kind of triangle can be made in a rectangle.