Question

Where does $\cos(pi/2)$ and $\sin(pi/2)$ come from in quaternion rotation? Can you provide a simple unit quaternion rotation example?

score 43 · Answer 1 · 2019-04-10 13:50:59

Where does $\cos(pi/2)$ and $\sin(pi/2)$ come from in quaternion rotation? Can you provide a simple unit quaternion rotation example?

score 122 · Answer 2 · 2026-03-25 07:44:01

122

Views

The equation $\zeta(q)=0$ for $q$ a quaternion

Published on 25 Mar 2026 - 7:44

score 89 · Answer 3 · 2026-03-25 12:46:25

89

Views

An attempt to improve Plücker coordinates

Published on 25 Mar 2026 - 12:46

score 463 · Answer 4 · 2019-04-17 05:04:33

463

Views

Is a quaternion a way to divide vectors?

Published on 17 Apr 2019 - 5:04

score 373 · Answer 5 · 2019-04-17 20:18:15

373

Views

How to rotate unit vectors and unit quaternions by unit quaternions?

Published on 17 Apr 2019 - 20:18

score 183 · Answer 6 · 2019-04-18 09:42:39

183

Views

Irreducible Lipschitz numbers

Published on 18 Apr 2019 - 9:42

score 385 · Answer 7 · 2019-04-20 00:39:53

385

Views

How to know what $q$ is when $p$ and $f(p)$ are known in $f(p) = qpq^{-1}$

Published on 20 Apr 2019 - 0:39

score 80 · Answer 8 · 2019-04-21 10:09:54

80

Views

Does every order in a quaternion algebra have a nice integral basis?

Published on 21 Apr 2019 - 10:09

score 216 · Answer 9 · 2019-04-21 20:33:51

216

Views

Fundamental theorem of algebra and quaternions

Published on 21 Apr 2019 - 20:33

score 205 · Answer 10 · 2019-04-23 02:38:53

205

Views

derivative of quaternion product

Published on 23 Apr 2019 - 2:38

score 1.1k · Answer 11 · 2019-04-24 19:16:39

1.1k

Views

One Quaternion two different 4x4 matrix representations and a same result just multiplying unit quaternions.

Published on 24 Apr 2019 - 19:16

score 130 · Answer 12 · 2019-04-25 16:09:37

130

Views

Clarification for an argument on the symplectic groups in Stillwell's Naive Lie Theory

Published on 25 Apr 2019 - 16:09

score 313 · Answer 13 · 2019-04-27 14:04:12

313

Views

Why is the left inverse of a quaternionic matrix also its right inverse?

Published on 27 Apr 2019 - 14:04

score 624 · Answer 14 · 2019-05-01 10:55:59

624

Views

Rotating a 3D vector by a quaternion?

Published on 01 May 2019 - 10:55

score 1.5k · Answer 15 · 2019-05-02 17:30:58

1.5k

Views

Rotate a Vector by Quaternion

Published on 02 May 2019 - 17:30

List Question

Where does $\cos(pi/2)$ and $\sin(pi/2)$ come from in quaternion rotation? Can you provide a simple unit quaternion rotation example?

The equation $\zeta(q)=0$ for $q$ a quaternion

An attempt to improve Plücker coordinates

Is a quaternion a way to divide vectors?

How to rotate unit vectors and unit quaternions by unit quaternions?

Irreducible Lipschitz numbers

How to know what $q$ is when $p$ and $f(p)$ are known in $f(p) = qpq^{-1}$

Does every order in a quaternion algebra have a nice integral basis?

Fundamental theorem of algebra and quaternions

derivative of quaternion product

One Quaternion two different 4x4 matrix representations and a same result just multiplying unit quaternions.

Clarification for an argument on the symplectic groups in Stillwell's Naive Lie Theory

Why is the left inverse of a quaternionic matrix also its right inverse?

Rotating a 3D vector by a quaternion?

Rotate a Vector by Quaternion

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