Interactive Complex Plane Mapping Application

An interactive MATLAB app for visualizing complex mappings, perfect for learning and exploring MATLAB App Designer features.

MATLAB Complex Plane Mapping Application

## Overview

This MATLAB application, developed using the MATLAB App Designer tool, offers an intuitive interface for visualizing complex mappings. Users can specify the range and resolution of the complex plane and apply mathematical functions to visualize how these functions transform the plane. The application serves both as a powerful visualization tool for complex functions and as an educational resource for those looking to learn MATLAB App Designer.

## Key Features

- **Interactive Interface**: Easily input the lower and upper limits for the real and imaginary components of the complex plane, as well as the number of points for each axis.

- **Function Input**: Enter any MATLAB-supported function of \(z = x + iy\) (e.g., \(z.^2\), \(\sin(z)\), etc.) to visualize its effect on the complex plane.

- **Dynamic Plotting**: Displays both the initial and transformed complex planes, providing a clear visual representation of how the function maps the plane.

- **Educational Tool**: Ideal for beginners to MATLAB App Designer, offering a hands-on example of creating and deploying applications.

## Getting Started

### Open-Source Version

1. **Clone the Repository**: Download the source (complex_map_app.mlapp).

2. **Open in MATLAB**: Launch MATLAB and open the `.mlapp` file using MATLAB App Designer.

3. **Run the Application**: Click the "Run" button in App Designer to start using the application.

### Packaged MATLAB Application

1. **Download the Application**: Obtain the packaged MATLAB application (Complex_Map.mlappinstall).

2. **Install the Application**: Install the MATLAB app on your MATLAB by easily drag and drop the file into the Command Window.

3. **Launch the Application**: Once installed, go to the "Apps" tab, and launch the "Complex_Map" application.

## Usage

1. **Set Range and Resolution**:

- Enter the lower and upper limits for both the real and imaginary axes of the complex plane.

- Specify the number of points to be plotted on each axis for finer or coarser resolution.

2. **Enter a Function**:

- In the function input field, type a MATLAB-compatible function of \(z\). For example, to visualize the mapping of \(z^2\), enter `z.^2`. (functions must be in MATLAB syntax)

3. **Plot and Visualize**:

- Click the "Start" button to generate the initial and transformed complex planes.

- Observe how the entered function distorts, stretches, or compresses the plane.

## More Information

You can also see:

https://www.mathworks.com/matlabcentral/fileexchange/160521-conformal-mapping?s_tid=prof_contriblnk

## I hope this helps!