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)[reply]

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

The redirect Easing has been listed at redirects for discussion to determine whether its use and function meets the redirect guidelines. Anyone, including you, is welcome to comment on this redirect at Wikipedia:Redirects for discussion/Log/2024 April 14 § Easing until a consensus is reached. Utopes _{(talk / cont)} 00:52, 14 April 2024 (UTC)[reply]

The redirect Easing function has been listed at redirects for discussion to determine whether its use and function meets the redirect guidelines. Anyone, including you, is welcome to comment on this redirect at Wikipedia:Redirects for discussion/Log/2024 April 14 § Easing function until a consensus is reached. Utopes _{(talk / cont)} 00:53, 14 April 2024 (UTC)[reply]