Projective duality

Projective duality is like looking at a picture of a unicorn and then looking at a picture of the unicorn from a different angle. In math terms, it's about looking at shapes and objects from a different point of view - one that has to do with lines.

Imagine you have a piece of paper with shapes drawn on it. Projective duality would let you take those shapes and look at them as if they were made of lines instead of just points and curves.

This is important because looking at shapes from different angles can help us understand them better and solve problems that we might not be able to solve otherwise. By using projective duality, we can see the connections between different shapes and understand how they relate to each other.

So in a way, projective duality is like a magic trick that can help us see things in a different way. Instead of just looking at shapes as they are, we can see them from a different point of view and gain a new understanding of how they work.