11wx

Quaternions and Spatial Rotations

On the Wikipedia page: Quaternions and Spatial Rotations[1], in the section "Using quaternions as rotations", you inserted the comment: { Note that q and −q represent the same rotation, and the mapping from unit quaternions to three-dimensional rotations is two-to-one.}

I think the point you raised is important, and deserved both a proof and a discussion of the geometric reasons for and implications of the two-to-one mapping.

So - I expanded it and moved it below the conjugation equation, since the fact that the conjugation equation is quadratic in q, makes it clear that conjugation by q and by −q provide the same transformation.

Macchess (talk) 05:24, 13 December 2022 (UTC)

[1] https://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation Macchess (talk) 05:24, 13 December 2022 (UTC)

Similar usernames

Hello @11wx! Welcome to Wikipedia! I am leaving this to highlight the similarity of our usernames. I'm concerned that if you become an active editor, we may both end up unintentionally violating the WP:SIMILARNAME policy. I'm going to courtesy ping @DreamRimmer, as to my knowledge they are a global renamer and should know the answer to this! 11WB (talk) 13:01, 4 April 2026 (UTC)

I think there is enough difference between the two usernames. It would only become problematic if there is any attempt to impersonate you. – DreamRimmer ■ 09:48, 5 April 2026 (UTC)

Excellent! Thanks for the confirmation! Just to be safe, I've added our usernames to WP:IMBRIAN anyway! 11WB (talk) 10:02, 5 April 2026 (UTC)