Modulo Times Table Visualization

Visualize patterns emerging from times tables using modulo arithmetic, all set on a circular path. This JavaFX application provides an interactive window to explore and manipulate the visualization in real-time.

Table of Contents

• Features
• Setup & Running
• Usage
• Classes & Components
• Acknowledgements

Features

• Interactive Controls: Adjust the current times table number, the increment step, and delay for visualization.
• Colors: Customize the line color for better visualization or personal preference.
• Jump to Specific Parameters: Quickly switch to specific times table numbers and points.
• Start/Stop Controls: Control the animation and visualization in real-time.

Setup & Running

1. Ensure you have JavaFX set up on your machine.
2. Clone the repository (you need access to lobogit gitlab):

   git clone https://lobogit.unm.edu/aabusang/modulo-times-table
   

3. Navigate to the project directory and compile the Java files:

   javac *.java
   

4. Run the Main class to start the application:

   java Main
   

5. On Intellij: Click the run button at the top right

Usage

1. Run & Stop Buttons: Start and pause the visualization.
2. Increment Slider: Adjust how quickly the times table number changes.
3. Delay Slider: Set a delay for the visualization, allowing for slower or faster animations.
4. Jump to Specific Parameters: Input boxes to jump to a particular times table number and number of points.
5. Colors: Choose the color for the visualized lines.

Classes & Components

• Main: The primary class responsible for the GUI setup, controls, and visualization.
• PointOnCircle: Represents points on a circle, used for the times table visualization. Adjusts raw coordinates using offsets to fit them in the canvas correctly.
• Visualization: A class responsible for generating the lines based on the modulo times tables. It creates the patterns that emerge when connecting points on a circle according to modulo arithmetic rules.
• DecimalTextVerifier: A utility class to verify and format decimal inputs, ensuring that the user inputs are processed correctly.

Acknowledgements

Special thanks to:

• Joseph Haugh and Nicholas Livingstone for guidance and support.
• Mathologer YouTube Channel and Simon Plouffe for details on the workings of the concept.