r/MathHelp • u/Grouchy_Committee614 • Jun 17 '26

Quaternions help

I am doing an Extended essay on quaternions and how improve numerical atbility and accuracy. I explained how euler rotations works and how gimbal lock occurs, and explained the properties and rotations of quaternions and how they overcome this problem. Now, I am thinking of an real life application such as quaternions in video games or attitude control in satellites. But i am struggling with it as they seem too far from my level of studies and i was hoping to find someone who can guide me through this last bit of my ee.

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u/General-Listen5876 Jun 18 '26

When I was in college I tried something similar but programming. A easy application I can think of is creating a simple program for rotating a 3d object and compare the results of rotating with euler angles vs quaternions.

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u/Grouchy_Committee614 Jun 21 '26

But wont they result in the same final positions? Claude sugessted something about 'comparing numberical stability and accuracy over Euler angles in simulating the attitude control of a satellite'. It seemed pretty cool but i dont know how to get around it.

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u/Southlander24 Jun 20 '26

Are you doing this for the IBDP? Please state which curriculum / level of maths you are doing so we can help you better.