Euler sequence
An euler sequence is like a set of instructions for spinning around in a circle. But it's not just any set of instructions, it's a special one that's used in math and physics to describe how things move in 3D space.
Imagine you're standing in the middle of a big field. If you want to spin around, you just turn in a circle. But if you're an airplane flying through the sky, you have to think about spinning in three different directions: roll (tilting your wings up and down), pitch (tilting the nose of the plane up and down), and yaw (turning the nose of the plane left or right).
An euler sequence gives you the order in which you should do these three movements in order to get your plane (or any 3D object) to move in the way you want. For example, if you do a "roll-pitch-yaw" sequence, that means you first tilt your wings up or down, then tilt the nose of the plane up or down, and finally turn the plane left or right.
Each euler sequence has its own unique set of instructions, and once you know the sequence, you can figure out exactly how to move your object in 3D space. It's like having a secret code for moving through the air (or any other 3D environment)!
Imagine you're standing in the middle of a big field. If you want to spin around, you just turn in a circle. But if you're an airplane flying through the sky, you have to think about spinning in three different directions: roll (tilting your wings up and down), pitch (tilting the nose of the plane up and down), and yaw (turning the nose of the plane left or right).
An euler sequence gives you the order in which you should do these three movements in order to get your plane (or any 3D object) to move in the way you want. For example, if you do a "roll-pitch-yaw" sequence, that means you first tilt your wings up or down, then tilt the nose of the plane up or down, and finally turn the plane left or right.
Each euler sequence has its own unique set of instructions, and once you know the sequence, you can figure out exactly how to move your object in 3D space. It's like having a secret code for moving through the air (or any other 3D environment)!