Fractals

Fractals are generated from recursive mathematical equations, this is why you can zoom-in on them infinitely and they will continue to repeat themselves (this is also why they are so computationally intensive)

I would suggest using a 3d printer and thingiverse.

There is an element of fractal property in the manner in which an artery divides into smaller vessels and these in turn to still smaller vessels and so on until you reach capillaries. And then, you have the reverse process of capillaries joining together to form veins which join up to form larger veins and so on. Many branching processes are approximately fractal.

your dad

By their very nature fractals are infinite in extent.

Maple leaf, peacock

7.4

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.