X's Revenge: A Mathematical Function Shooting Game

Game Category

• Type: 2D Vertical Scrolling Shooting Game
• Original Reference: Classic Game "Aircraft Battle"
• Innovation: Mathematical Function Visualization, Combining Education with Entertainment

Game Core

• Players control the protagonist "X" using mouse to battle against enemies following different mathematical function trajectories
• Coordinate system-based visual combat system
• Level de#corporating mathematical education elements

Gameplay Design

Basic Mechanics

• Total of five levels
• Dynamic background implementation
• Protagonist shoots linear bullets (y=x)
• Enemies shoot special function-based bullets
• Item mechanics (Health/Power-ups)
• Bullet-to-bullet collision cancellation
• Level progression: functions from simple to complex
• Defeat enemies to win

Level Planning

• Level 1: y=x²
• Level 2: y=sin(x) (Sine wave)
• Level 3: y=|x| (Absolute value)
• Level 4: y=log(x) (Logarithm)
• Level 5: y=e^x (Exponential)

Technical Implementation

Development Environment

• Programming Language: Python 3.11
• Game Framework: Pygame
• Development Tool: PyCharm

Core Technical Modules

• Collision Detection System
• Mathematical Function Trajectory Generation
• Particle Effect System
• Smooth Movement Algorithm

Key Points and Challenges

Technical Focus

• Mathematical function calculation and implementation
• Smooth enemy movement
• Precise collision detection implementation

Anticipated Challenges

• Balancing game difficulty and entertainment
• Achieving good visual presentation
• Visual representation of different function bullets
• Performance optimization for smooth operation

Expected Results

Target Outcomes

• Complete five-level game system
• Smooth gaming experience
• Clear visual effects

Current Progress

• Completed game homepage creation
• Completed basic game framework

Result Images