ELI5: Explain Like I'm 5

Wetzel's problem

Wetzel's problem is a math problem that involves putting a certain number of dots on a circle so that the distances between the dots are all different. Let's say you have a circle and you want to draw some dots on it. You need to make sure that each dot is a different distance from the other dots.

To make it easier to understand, imagine you have a pizza and you want to put pepperoni slices on it. You want to make sure that each slice of pepperoni is a different distance from the other slices. You can't put two slices right next to each other, and you can't put them all in a straight line.

So, how do you figure out how many pepperoni slices you can put on the pizza without breaking the rules? Wetzel's problem is all about figuring out the maximum number of dots you can put on a circle without any of them being the same distance from each other.

This problem is tricky because you have to figure out the exact distances between each dot, and there are only certain combinations of distances that will work. It's like figuring out a puzzle!

Mathematicians have been working on Wetzel's problem for a long time, and they've discovered some interesting patterns and solutions. But it's still a pretty difficult problem, even for grown-ups!