Quadratic Battleships
Instructions
2,3 or 4 players, each on a computer.
Players first arrange their ships (drag from the centre so as not to distort them) anywhere inside the boundary.
They take turns launching parabolic torpedoes using quadratic functions.
There are only 12 numbered torpedoes, so either 6, 4 or 3 torpedoes each.
The sliders are used to modify the equation and aim the torpedo.
To fire, call out the modified equation. All players type the equation into an unused input box, or just replace the a, h and k without retyping everything, then 'enter' or click outside the box.
Players call 'hit', 'miss' or 'sunk'. Torpedoes traverse all planes simultaneously, so it is possible for a player to hit their own ship. A hit occurs when a torpedo enters and exits a ship, not when it intersects a corner point. Ships are sunk when their hits equals their damage rating.
After all 12 torpedoes have been launched, assess the damage and declare a winner, based on the number of ships remaining or, in the case of a tie, the damage count.