# MandelImage {Julia}

### Description

'MandelImage' returns two dimensional array representing escape values from on the square region in complex plane. Escape values (which measures the number of iteration before the lenght of the complex value reaches to 2.)

### Usage

MandelImage(imageN, centre, L)

### Arguments

- imageN
- Number of pixels to equally space division of one side if the square region.
- centre
- A complex number that determines the centre of the square region.
- L
- A side length of the square region on the complex plane.

### Details

Mandelbrot set is defined as the set of initial complex values where the z = z^2 +z_0 does not diverge to infinity. Initial value for the map is taken to be zero and z_0 is the complex coordinate.

### Values

Returns a matrix.

### References

The Fractal Geometry of Nature, Benoit B. Mandelbrot, W.H.Freeman & Co Ltd (18 Nov 1982)

### Note

Returns a matrix

### See Also

`JuliaImage`

### Examples

# png image imageN <- 5; centre <- 0.0 L <- 4.0 image<-MandelImage(imageN,centre,L); #file <- "mandelbrot1.png" # writePNG(image,file); # possible visualisation # Closer lookup to set imageN <- 5; centre <- -0.5 L <- 2.0 image<-MandelImage(imageN,centre,L); # file <- "mandelbrot.png" #writePNG(image,file); # possible visualisation

Documentation reproduced from package Julia, version 1.1. License: GPL-3