# Visual Basic 2010 (Windows) Guide

Fractals: Complex Numbers

Producing the types of fractal image shown on the previous page requires a very basic understanding of complex numbers. The image itself is based on the results of a series of operations on a complex number.

A complex number comes in the following form,

*a* + *b* i

In the above number, **a** and **b** are real numbers. The letter **i** represents what is called the **imaginary** part of the number. The letter **i** stands for the **square root of -1**.

Some examples of complex numbers are,

`3 + 2i`

2.4 + 0.5i

0 + 5i

## Plotting Complex Numbers

You can plot a complex number on a graph by using the real component for the position on the x axis and the imaginary component for the position on the y axis.

The number is represented by either the point plotted on the graph or as a vector with a line drawn from the origin to that point.