How can Fractals be related to mathematics?

Analytically, most fractals are nowhere differentiable. An infinite fractal curve can be conceived of as winding through space differently from an ordinary line – although it is still topologically 1-dimensional, its fractal dimension indicates that it also resembles a surface.

What does fractal mean in math?

A fractal is “a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,” a property called self-similarity.

What is the equation for a fractal?

It is one of the most amazing discoveries in the realm of mathematics that not only does the simple equation Zn+1 = Zn2 + C create the infinitely complex Mandelbrot Set, but we can also find the same iconic shape in the patterns created by many other equations.

What is infinity on infinity?

BUT in Mathematics infinity divided by infinity is actually undefined.

What is fractal geometry and how is it related to mathematics?

fractal, in mathematics, any of a class of complex geometric shapes that commonly have “fractional dimension,” a concept first introduced by the mathematician Felix Hausdorff in 1918. Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the sphere, and so forth.

How are fractals used in art?

Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still digital images, animations, and media. The mathematical beauty of fractals lies at the intersection of generative art and computer art. They combine to produce a type of abstract art.

What are math spirals?

In mathematics, a spiral is a curve which emanates from a point, moving farther away as it revolves around the point.

How do you create a fractal formula?

Creating a new formula

1. Create a new fractal.
2. Click New on the File menu, and then click Fractal Formula File.
3. Click New Formula on the Insert menu.
4. After the init: label, insert the following line:
5. After the loop: label, insert the following line:
6. After the bailout: label, insert the following line:

Are human fractals?

We are fractal. Our lungs, our circulatory system, our brains are like trees. They are fractal structures. Most natural objects – and that includes us human beings – are composed of many different types of fractals woven into each other, each with parts which have different fractal dimensions.

Do you need to think about mathematics when surfing?

We cover the Mathematics of Ocean Waves, as well as the mathematics and physics associated with catching and riding a surfable wave. People do not need to think about mathematics when actually surfing; however there are certain mathematical realities which are foolish to ignore! Click the following Link to access this lesson:

What was the first book on oceanography?

A book, Science of the Sea, published in 1912, summarizes the results of the Challenger expedition (1873-1876), which many claim as the beginning of modern oceanography. The scientific inferences made in this book are based on little or no data—and yet are nonetheless outstanding.

Where can I find good resources for teaching Ocean mathematics?

The Australian Maritime College has an excellent set of free resources for Mathematics Teachers. Among these are some very good mathematical exercises related to Ocean Mathematics. The AMC is planning to add more online interactive lessons, but as of late 2013 the current the interactive lessons are as follows: