An important aspect of almost any game is that things move right. The movement of objects needs to feel natural or intuitive, so that the players can interact with them effortlessly. We can use the manipulation of velocities and accelerations in order to achieve this.
While we my not often think about it, movement of objects is one of the key aspects of most video games. In any game that has any sort of characters, enemies or items interacting in a fictional – or real – world, these agents and objects have to move in order for anything to happen.
In most cases, we want these movements to appear natural, or at least believable and consistent. This allows the player to better put themselves in the feet of the protagonist, or avatar, as they can control their movements in an intuitive way – not having to think about each key press individually, but merely willing to move in a certain direction and letting muscle memory take over from there.
Following another object is one of the most basic movement behaviours an item can exhibit – both in the real world, and in games.
There are many different ways in which objects can follow each other, and depending on the circumstances, different kinds of movement may be appropriate.
Today we will look at one particular kind: A number of objects following another in a trail at regular distances. The movement found in games like Snake.
However – unlike the original Snake and many of its spin-offs – we will neither constrain ourselves to a grid, or to fixed time steps.
Instead we want our solution to follow arbitrary paths with arbitrary accuracy.