# How to create a fractal image

### How is fractal art made?

**Fractal art**is achieved through the mathematical calculations of

**fractal**objects being visually displayed, with the use of self-similar transforms that are generated and manipulated with different assigned geometric properties to produce multiple variations of the shape in continually reducing patterns.

### What is a fractal image?

A

**fractal**is a never-ending pattern.**Fractals**are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion,**fractals**are**images**of dynamic systems – the**pictures**of Chaos.### What are the various methods to develop fractals?

**Fractals**have been generated on computers using the following

**methods**: Menger sponge, Hypercomplex manifold, Brownian tree, Brownian motion, Decomposition, L-systems, Lyapunov

**fractals**, Newton

**fractals**, Pickover stalks and Strange attractors.

### What artistic tools are used to produce fractals?

There are many

**fractal**generation softwares such as the free Xaos and**Fractal**Architect 2. I normally**use**Mathematica to**generate fractals**and process them later with editing**tool**but this time have to work with an**art**project where things must be perfect.### How do you make fractals by hand?

Step 1: Draw an outline of the shape you want to draw a

**fractal**of. In this example we will use a pentagon that is sliced into 40 equal segments. To**make**the pentagon perfect you must first draw a circle with a compass. Now that you have the circle drawn you divide 360 degrees by 40 and you get nine degrees.### What are natural fractals?

A

**fractal**is a kind of pattern that we observe often in**nature**and in art. As Ben Weiss explains, “whenever you observe a series of patterns repeating over and over again, at many different scales, and where any small part resembles the whole, that’s a**fractal**.”### What is the most famous fractal?

The

**Most Famous Fractal**by John Briggs. Largely because of its haunting beauty, the Mandelbrot set has become the**most famous**object in modern mathematics. It is also the breeding ground for the**world’s most famous fractals**.### What are three well known fractals?

Cantor set, Sierpinski carpet, Sierpinski gasket, Peano curve, Koch snowflake, Harter-Heighway dragon curve, T-Square, Menger sponge, are some examples of such

**fractals**.### What is an example of a fractal?

Some of the most common

**examples**of**Fractals**in nature would include branches of trees, animal circulatory systems, snowflakes, lightning and electricity, plants and leaves, geographic terrain and river systems, clouds, crystals.### Is lightning a fractal?

Similar to many shapes in nature,

**lightning**strikes are**fractals**. Forked**lightning**can go from cloud-to-ground, cloud-to-cloud, or cloud-to-air. The**lightning**mostly travels from cloud-to-cloud and only goes from the cloud to the ground 20% of the time.### What are the 5 patterns in nature?

**Natural patterns**include symmetries, trees, spirals, meanders, waves, foams, tessellations, breaks and stripes.

### Is pineapple a fractal?

Recurring patterns are found in nature in many different things. They are called

**fractals**. Think of a snow flake, peacock feathers and even a**pineapple**as examples of a**fractal**.### Where do fractals occur in real life?

Clouds, mountains, coastlines, cauliflowers and ferns

**are**all natural**fractals**. These shapes have something in common – something intuitive, accessible and aesthetic.### Is a snowflake a fractal?

Part of the magic of

**snowflake**crystals are that they are**fractals**, patterns formed from chaotic equations that contain self-similar patterns of complexity increasing with magnification. If you divide a**fractal**pattern into parts you get a nearly identical copy of the whole in a reduced size.### Where do fractals come from?

The term

**fractal**was coined by Benoît Mandelbrot in 1975 and was**derived from**the Latin fractus meaning “broken” or “fractured.” A mathematical**fractal**is based on an equation that undergoes iteration, a form of feedback based on recursion.### What is the point of a fractal?

Why are fractals important? Fractals help us study and understand important scientific concepts, such as the way bacteria grow, patterns in freezing water (snowflakes) and brain waves, for

**example**. Their formulas have made possible many scientific breakthroughs.### Is a fractal a shape?

That’s

**fractals**.” More formally, in 1982 Mandelbrot defined**fractal**as follows: “A**fractal**is by definition a set for which the Hausdorff–Besicovitch dimension strictly exceeds the topological dimension.” Later, seeing this as too restrictive, he simplified and expanded the definition to this: “A**fractal**is a**shape**### Is the Fibonacci sequence a fractal?

The

**Fibonacci**Spiral, which is my key aesthetic focus of this project, is a simple logarithmic spiral based upon**Fibonacci numbers**, and the golden ratio, Φ. Because this spiral is logarithmic, the curve appears the same at every scale, and can thus be considered**fractal**.### Do Fractals have to be self similar?

**Fractals are**typically not

**self**–

**similar**.

### What does 1.618 mean?

Alternative Titles:

**1.618**, divine proportion, golden**mean**, golden section. Golden ratio, also known as the golden section, golden**mean**, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which**is**approximately equal to**1.618**.### What are Fibonacci spiral and squares?

A

**Fibonacci spiral**approximates the**golden spiral**using quarter-circle arcs inscribed in**squares**derived from the**Fibonacci**sequence.### Is 13 a Fibonacci number?

The

**Fibonacci sequence**is a**series**of**numbers**where a**number**is the addition of the last two**numbers**, starting with 0, and 1. The**Fibonacci Sequence**: 0, 1, 1, 2, 3, 5, 8,**13**, 21, 34, 55…### What is the golden spiral used for?

The

**Golden Spiral**can be**used as**a guide to determine the placement of content. Our eye is naturally drawn to the center of the**spiral**, which is where it will look for details, so focus your design on the center of the**spiral**and place areas of visual interest within the**spiral**.