What is geodesic?

A geodesic is the shortest path between two points on a curved surface, like how ants walk on a ball or how planes fly across Earth.

Imagine you have a soccer ball. If you want to draw a line from one point to another, the geodesic would be like the straightest possible way that follows the curve of the ball, not cutting through it, just going along its surface.

If you're an ant walking on the ball’s surface, you can’t go inside the ball. So you take the path that feels most direct to you, that's your geodesic. It might look like a curve from above, but for you, it’s the shortest way.

Now think about flying from New York to London. If Earth were flat, you’d just go straight. But since Earth is round, planes take a curved path, that’s following the geodesic of the planet. It might seem like a long trip, but it's actually the quickest way across the curve of Earth.

So, whether on a ball or around our planet, a geodesic is just the most direct route when you’re stuck on a curved surface, and that’s how things move in the real world! A geodesic is the shortest path between two points on a curved surface, like how ants walk on a ball or how planes fly across Earth.

Imagine you have a soccer ball. If you want to draw a line from one point to another, the geodesic would be like the straightest possible way that follows the curve of the ball, not cutting through it, just going along its surface.

If you're an ant walking on the ball’s surface, you can’t go inside the ball. So you take the path that feels most direct to you, that's your geodesic. It might look like a curve from above, but for you, it’s the shortest way.

Now think about flying from New York to London. If Earth were flat, you’d just go straight. But since Earth is round, planes take a curved path, that’s following the geodesic of the planet. It might seem like a long trip, but it's actually the quickest way across the curve of Earth.

So, whether on a ball or around our planet, a geodesic is just the most direct route when you’re stuck on a curved surface, and that’s how things move in the real world!