A quasi-sphere is like a ball, but not exactly. Imagine you have a toy ball, like a basketball or a soccer ball. Those balls are perfectly round, right? A quasi-sphere is also round, but it can have bumps or curves on the surface. It's like if you took the toy ball and squished it a little bit or stretched it in some places.
This is important because sometimes in math or science, we need to think about things that are round and curved, but not perfectly round like a ball. The quasi-sphere is a way to talk about those shapes.
Think about the Earth. We say the Earth is a sphere--a really big ball--but it's not perfectly round. The Earth has mountains and valleys and oceans, so it's more like a quasi-sphere. Scientists and mathematicians use quasi-spheres to help describe complex shapes like this.