The Mathematics Behind Suika Game

Physics Engine Fundamentals

At its core, Suika Game uses a robust physics engine that calculates various mathematical principles in real-time. The game employs concepts from classical mechanics, including gravity, friction, and elastic collisions.

Collision Detection

The game uses circle collision detection algorithms to determine when fruits touch each other. This involves calculating distances between circle centers and comparing them with the sum of their radii.

Size Progression

The size progression of fruits follows a mathematical sequence. Each new fruit size is calculated based on the previous size, creating a balanced progression that makes the game challenging but fair.

Scoring System

The scoring system is based on mathematical formulas that consider fruit sizes, combination chains, and timing. Bonus points are calculated using multipliers that reward skilled play.

Probability and Random Generation

The game uses probability algorithms to determine which fruit appears next. This randomness is carefully balanced to maintain game fairness while creating engaging gameplay.

Optimization Algorithms

Behind the scenes, various optimization algorithms ensure smooth gameplay by efficiently calculating physics interactions between multiple objects simultaneously.