Have you ever looked at a picture that seemed like it was divided into different parts, but when you really looked closely, you realized that it was actually all connected? That's a bit like how illusory discontinuity works.
Sometimes, our brain sees lines, shapes, or colors that make it seem like something is divided into different pieces. It's like if you were trying to cut a pizza into slices and accidentally made one slice a little bigger than the others - it might seem like there are two separate pieces of pizza, even though they're actually still connected.
In the case of illusory discontinuity, our brain might see something like a picture of a person's face and think that the eyes, nose, and mouth are all separate pieces. But if we really look closely - maybe with a magnifying glass or by zooming in on a computer screen - we can see that all those features are actually connected and make up one whole face.
Overall, illusory discontinuity is just a fancy way of describing how our brain can sometimes be tricked into seeing things as separate parts when they're actually still connected. Just like how a pizza might seem like two separate pieces, our brain might need to take a closer look to realize that things aren't really as split up as they seem!