Quotient object

A quotient object is like a puzzle that you put together using different pieces. Imagine you have a bunch of blocks that you can put together in different ways to make different shapes. But sometimes, two shapes might look different, but they are actually the same because you can turn one into the other by flipping or rotating it.

A quotient object is like taking one of those shapes and saying "these two pieces are actually the same, even though they look different." It's kind of like using a special glue to stick two of the blocks together so they can't be separated.

In math, this idea is used to help us study objects that have some sort of symmetry. We might start with a more complicated object, but then we "quotient out" the parts that are the same due to symmetry. This helps us focus on the more important features of the object that don't change no matter how we flip or turn it.