Lloyd's algorithm

Lloyd's algorithm is like playing a game of "hot and cold" to find a secret treasure. In the game, you have to guess where the treasure is hidden by moving closer or farther away from it based on whether your guess is "hot" (close) or "cold" (far).

In Lloyd's algorithm, the "treasure" is a group of points that are grouped together based on their location in space. The algorithm tries to find the best way to group these points together.

First, the algorithm chooses some initial guesses for where the groups might be. Then, it checks which points are closest to each guess and puts them into groups accordingly.

Next, the algorithm finds the center of each group based on the points in that group.

Then, it moves the guess for each group's location to the center of that group.

After that, the algorithm checks which points are closest to each new guess, and puts them into groups again.

The algorithm keeps repeating these steps, moving the guess closer to the "treasure" (the group of points) each time, until the groups stop changing or only change a little bit.

Eventually, the algorithm will find the best way to group the points together based on their location in space. This is like finding the treasure in the game of "hot and cold"!