# Vector race

### Instructions

Vector race is a funny game about driving vectors. Change direction and magnitude to trace the curves as if you were driving a motorbike.

The rules for moving represent a motorbike with a certain **inertia, velocity and acceleration**, and the resulting line evokes how real racing motorbikes move.

The game requires players to slow down before bends in the track, and requires some foresight and planning for successful play. The game is popular as an educational tool teaching vectors.

#### Rules

All moves will be from one grid point to another grid point. Each grid point has eight neighbouring grid points: **Up, down, left, right, and the four diagonal directions**. Players take turns to move according to some simple rules. Each move is marked by a line from the starting point of this move to a new point.

At the begining the player choose an starting point. Thereafter each player's first move must be to one of the three neighbours of their starting position in the race direction. On each turn after that, the player can choose to move the same number of squares in the same direction as on the previous turn; the grid point reached by this move is called the principal point for this turn. (E.g., if the previous move was two squares to the left and four squares upwards, then the principal point is found by moving another two squares to the left and four more squares upwards.) However, the player also has the choice of any of the eight neighbours of this principal point.

If the player's position is off the track, the traction is lower and therefore the speed is reduced to the minimum. Only the eight adjacent neighbours can be selected.

A position can only be occupied by a single player.

#### The winner

The first player to cross the finish line wins the race. In the event that two players finish in the same round, then the winner is the one whose motorbike ends at the greatest distance beyond the finish line.

##### Reference

- Wikipedia: Racetrack (game)

### Circuit

### Players

rank | player | turn |
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distance | speed | avg. speed | max. speed |
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