FORMULA ARENA
Where Mathematics Becomes Your Weapon
Where Mathematics Becomes Your Weapon
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Unlocks customized glowing paths for projectiles.
Sleek animations on wall/target collisions.
Sci-fi weapon skins for avatar gun rendering.
You pilot a combat starship in a 2D coordinate arena. Eliminate your opponents by programming mathematical formulas for your bullet trajectories. The game is round-based: you have 45 seconds per round to input your formula and firing direction before all players fire simultaneously!
Your bullet always spawns at your ship's current position.
• x: Horizontal distance flown (from 0 to 1200 pixels).
• f(x): Vertical altitude deviation relative to your starting position.
• Positive value (+): The bullet curves upward.
• Negative value (-): The bullet curves downward.
f(x) = 0
Bullet flies in a perfectly straight horizontal line.
f(x) = 0.5 * x
Bullet climbs 1 pixel for every 2 horizontal pixels travelled.
f(x) = 80 * sin(x / 60)
Bullet travels in a sine wave. Wave height is 80px, wavelength cycle is 60px.
f(x) = x - x^2 / 400
Bullet arcs high into the sky and drops down behind tall obstacles.
Click the arrow button ▶ / ◀ next to the formula input to choose your firing direction (**Left** or **Right**).
• Math Functions: sin(x), cos(x), tan(x), abs(x) (absolute value), sqrt(x) (square root), log(x), min(a,b), max(a,b), floor(x), ceil(x).
• Operators: +, -, * (multiplication), / (division), ^ (exponent, e.g. x^2), % (modulo division).
• Constants: pi (π ≈ 3.1416), e (Euler's number ≈ 2.718).
1. Trajectory Preview: As you type your formula, watch the dashed blue line on the map. This is your preview trajectory—use it to align your shot before clicking LOCK.
2. Avoid Syntax Errors: You must write multiplication explicitly using * (e.g. write 2 * x instead of 2x). If your formula has errors, the bullet will fail and detonate instantly.
3. Keypad Helpers: Use the quick keypad buttons at the bottom of the screen to quickly enter terms like sin(, cos(, or ^ to save time.
You were shot down in the arena.
Wait cooldown to join a new match:
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Get cosmetic bundles and design custom rainbow laser trails!
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Starter Cosmetic Trail Bundle
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