/sci/ - Quaternion Shilling Thread - Science & Math


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Anonymous
Quaternion Shilling Thread 08/30/26(Sun)23:23:47 No.17044822

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Quaternion Shilling Thread Anonymous 08/30/26(Sun)23:23:47 No.17044822

Post the textbooks you used.

Anonymous
08/31/26(Mon)15:34:07 No.17045080

Anonymous 08/31/26(Mon)15:34:07 No.17045080

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Anonymous
08/31/26(Mon)15:50:38 No.17045083

Anonymous 08/31/26(Mon)15:50:38 No.17045083

File: GimbleLock-822389184.jpg (262 KB, 1600x1083)

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*dies from gimbal lock*

Anonymous
08/31/26(Mon)16:42:41 No.17045100

Anonymous 08/31/26(Mon)16:42:41 No.17045100

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Anonymous
08/31/26(Mon)19:06:47 No.17045154

Anonymous 08/31/26(Mon)19:06:47 No.17045154

awesome thread and bump

>>17045083
The thing Quaternions fix! No gimbal lock! I think anyway

maybe that's how you calculate the rotation of the 4th dimension

Anonymous
08/31/26(Mon)20:07:13 No.17045179

Anonymous 08/31/26(Mon)20:07:13 No.17045179

Quaternions for Computer Graphics by John Vince (2011).

Anonymous
09/01/26(Tue)00:11:56 No.17045231

Anonymous 09/01/26(Tue)00:11:56 No.17045231

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Anonymous
09/01/26(Tue)00:19:24 No.17045233

Anonymous 09/01/26(Tue)00:19:24 No.17045233

>>17045179
Holy based. I used 2e (2021) though.

Anonymous
09/01/26(Tue)05:31:13 No.17045296

Anonymous 09/01/26(Tue)05:31:13 No.17045296

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>>17045083
>Dies from gout

Anonymous
09/01/26(Tue)12:03:52 No.17045390

Anonymous 09/01/26(Tue)12:03:52 No.17045390

>>17045154
Quaternions don't "fix gimbal lock". This is a naive mathlet graphics programmer POV.

(Unit) Quaternions just provide a way of representing rotations in SO3. Euler angles can also simply represent rotations in SO3, its just that naively adding their components *doesn't* perform the SO3 group composition operation, which is what typically causes the actual problems people using Euler angles without understanding the structure of 3D rotations end up facing.

Actual gimbal lock occurs when you have some external force acting on a 'gimbal' that is effective a stack of things that register Euler angles and the rotations of it align in a way so that the thing can't properly register the actual external rotations occurring because multiple axis are aligning in a way that blocks their movement. This doesn't occur in typical 3D applications that would want to use quaternions; if quaternions 'solve' a problem you had that wouldn't have also been solved by using a rotation matrix, then it was just you being stupid and not understanding the logical implications of the math or the actual advantages (like numerical stability) that quaternions bring.

Quaternions are cool, but history is rife with people romanticizing them and acting like they're special for dumb reasons, instead of recognizing the actual, practical reasons why you'd want to employ them.

Anonymous
09/01/26(Tue)14:09:28 No.17045423

Anonymous 09/01/26(Tue)14:09:28 No.17045423

>>17045390
>romanticizing

Yeah they're based because they're cool, not because they're some sort of elixir.

Anonymous
09/01/26(Tue)18:59:25 No.17045563

Anonymous 09/01/26(Tue)18:59:25 No.17045563

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Anonymous
09/01/26(Tue)20:21:33 No.17045595

Anonymous 09/01/26(Tue)20:21:33 No.17045595

which is the best one saaars?

Anonymous
09/01/26(Tue)23:47:57 No.17045663

Anonymous 09/01/26(Tue)23:47:57 No.17045663

>>17045595
Depends on whether you're grad or not desu.

Anonymous
09/02/26(Wed)13:40:06 No.17045874

Anonymous 09/02/26(Wed)13:40:06 No.17045874

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Anonymous
09/03/26(Thu)12:51:39 No.17046317

Anonymous 09/03/26(Thu)12:51:39 No.17046317

Doing Physics with Quaternions by
Douglas B. Sweetser

Anonymous
09/03/26(Thu)13:02:35 No.17046319

Anonymous 09/03/26(Thu)13:02:35 No.17046319

bump

Anonymous
09/03/26(Thu)13:12:48 No.17046323

Anonymous 09/03/26(Thu)13:12:48 No.17046323

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>>17044822
Great coles notes
https://ieeexplore.ieee.org/document/6876131/
Peeter joots for reference
https://peeterjoot.com/writing/geometric-algebra-for-electrical-engineers/

Ultimate sci-fu
https://youtu.be/3BZyds_KFWM

The doc
https://m.youtube.com/watch?v=nPbAKpmUmM0

The goat
https://archive.org/details/in.ernet.dli.2015.160612/page/256/mode/1up

Anonymous
09/04/26(Fri)14:56:23 No.17046913

Anonymous 09/04/26(Fri)14:56:23 No.17046913

>>17045563
I used this too

Anonymous
09/07/26(Mon)13:55:14 No.17048567

Anonymous 09/07/26(Mon)13:55:14 No.17048567

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Anonymous
09/10/26(Thu)12:34:37 No.17051246

Anonymous 09/10/26(Thu)12:34:37 No.17051246

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>>17044822

Anonymous
09/12/26(Sat)09:46:33 No.17052746

Anonymous 09/12/26(Sat)09:46:33 No.17052746

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>>17044822

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