Question

Why can't rotations be represented by purely imaginary quaternions?

score 1.9k · Answer 1 · 2026-03-26 23:09:37

1.9k

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Why can't rotations be represented by purely imaginary quaternions?

Published on 26 Mar 2026 - 23:09

score 56 · Answer 2 · 2022-04-26 12:30:07

56

Views

Transforming the ternary cubic polynomial in to a quaternion cubic homogeneous polynomial Form

Published on 26 Apr 2022 - 12:30

score 59 · Answer 3 · 2022-04-30 15:32:10

59

Views

Trying to find a nice basis to realize the quaternion mapping as a rotation matrix

Published on 30 Apr 2022 - 15:32

score 285 · Answer 4 · 2022-05-08 10:43:07

285

Views

Normalizing a dual quaternion

Published on 08 May 2022 - 10:43

score 53 · Answer 5 · 2026-03-26 22:53:38

53

Views

Find any or all Lipschitz quaternions corresponding to a given quaternion norm

Published on 26 Mar 2026 - 22:53

score 88 · Answer 6 · 2022-05-13 05:06:13

88

Views

Real matrices commuting with quaternion matrices

Published on 13 May 2022 - 5:06

score 395 · Answer 7 · 2022-05-15 11:37:15

395

Views

how to offset a rotation contained in a unit quaternion rotation from the origin of a rigid object.

Published on 15 May 2022 - 11:37

score 123 · Answer 8 · 2026-04-02 14:38:19

123

Views

120 cell generated from quaternions

Published on 02 Apr 2026 - 14:38

score 151 · Answer 9 · 2022-05-19 16:24:01

151

Views

Calculating coordinates using an offset from an entity in 3D space knowing its position and rotation.

Published on 19 May 2022 - 16:24

score 162 · Answer 10 · 2022-05-23 19:15:36

162

Views

How to prove that Quaternion's algebra over isomorphic to Mat2(Z

Published on 23 May 2022 - 19:15

score 159 · Answer 11 · 2026-03-25 17:24:39

159

Views

Does the 120-cell have 5 inscribed 600-cells?

Published on 25 Mar 2026 - 17:24

score 107 · Answer 12 · 2022-05-28 21:23:50

107

Views

ODEs to calculate the rate of quaternions knowing the angular velocities

Published on 28 May 2022 - 21:23

score 104 · Answer 13 · 2022-06-09 17:14:08

104

Views

Are there any good references to learning quaternions?

Published on 09 Jun 2022 - 17:14

score 372 · Answer 14 · 2026-03-29 14:57:39

372

Views

Dihedral and generalized quaternion groups have same character table

Published on 29 Mar 2026 - 14:57

score 39 · Answer 15 · 2022-06-12 22:31:15

39

Views

Bounding relative error in norm of vector component of quaternion product.

Published on 12 Jun 2022 - 22:31

List Question

Why can't rotations be represented by purely imaginary quaternions?

Transforming the ternary cubic polynomial in to a quaternion cubic homogeneous polynomial Form

Trying to find a nice basis to realize the quaternion mapping as a rotation matrix

Normalizing a dual quaternion

Find any or all Lipschitz quaternions corresponding to a given quaternion norm

Real matrices commuting with quaternion matrices

how to offset a rotation contained in a unit quaternion rotation from the origin of a rigid object.

120 cell generated from quaternions

Calculating coordinates using an offset from an entity in 3D space knowing its position and rotation.

How to prove that Quaternion's algebra over isomorphic to Mat2(Z

Does the 120-cell have 5 inscribed 600-cells?

ODEs to calculate the rate of quaternions knowing the angular velocities

Are there any good references to learning quaternions?

Dihedral and generalized quaternion groups have same character table

Bounding relative error in norm of vector component of quaternion product.

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