Rubik's Cube Simulator

A console application that simulates a 3x3 Rubik's cube with the ability to perform standard face rotations.

Features

• Accurate simulation of a 3x3 Rubik's cube
• Implementation of all standard face rotations (clockwise and counter-clockwise)
• Console-based visualization showing the state of the cube
• Proper edge and corner piece tracking during rotations

How to Build and Run

Prerequisites

• .NET 6.0 SDK or higher
• Windows PC

Building the Application

1. Clone this repository
2. Open a command prompt in the project directory
3. Run dotnet build

Running the Application

1. After building, run dotnet run in the project directory
2. The application will:
   • Display the initial solved cube state
   • Apply the rotation sequence: F R' U B' L D'
   • Display the final cube state after rotations

Cube Coordinate System

The cube uses a coordinate system where each position on a face is identified by [row, column] coordinates:

Figure 1: Coordinate system for each face of the cube

Output Example

The application produces an output showing the state of the cube after applying the specified rotations:

Figure 2: Console output showing the solved cube and the cube after rotations

Testing

The application has been thoroughly tested using:

1. Unit Tests: A comprehensive suite of unit tests verifies the correctness of:

   • Individual face rotations (both clockwise and counter-clockwise)
   • Edge piece transfers between faces
   • Proper state maintenance through multiple rotations

2. Verification Methods:

   • Confirmed that applying a rotation followed by its inverse returns the cube to its original state
   • Validated that corner and edge pieces maintain their relationships during rotations
   • Compared the results of the specified rotation sequence (F R' U B' L D') with a reference implementation (https://rubiks-cube-solver.com/)

The testing approach ensures that the simulator accurately represents a physical Rubik's Cube in all aspects of its behavior.