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Instructions to Play the QFT Visualizer Game

Based on the document, the QFT Visualizer simulates quantum processes like the Quantum Fourier Transform (QFT). The game involves drag-and-drop interactions with complex numbers on a circular grid. Here’s how to play the game:

Objective

Explore how quantum principles work by observing how complex numbers transform under QFT.
Aim to align sequences, identify periodic patterns, and understand the mathematical connections.

How to Play

Start the Game:
- Drag complex numbers (e.g., 3 + 2i) from the palette onto the circular grid.

Understand the Grid:
- The circular grid represents the complex plane.
- Points on the grid correspond to complex numbers' positions based on their real and imaginary parts.

Perform Transformations:
- Drop numbers onto the grid to initiate QFT transformations.
- Observe how their positions change dynamically on the grid.

Identify Patterns:
- Look for repetitive sequences or patterns after transformations.
- Use these patterns to deduce properties like periodicity.

Heatmap Feedback:
- Interact frequently with the grid to generate a heatmap showing high-activity zones.

Track Achievements:
- Monitor your progress through the interaction counter and unlock achievement badges for hitting milestones.

Adjust Display:
- Use the theme switcher to customize the color scheme (e.g., Light, Dark, Neon).
- Toggle the user list (leaderboard or activity log) if it obstructs your view.