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Shouldn't that be the other way around? That is, one rotation has two representations – not that one matrix can represent two rotations. —[[User:Tamfang|Tamfang]] ([[User talk:Tamfang|talk]]) 05:41, 2 August 2023 (UTC)
== xyzw order? ==
I believe when written as four numbers, it is relatively common to write them with the cosine term last, ie it is a 3-vector containing the axis multiplied by sin/2, followed by cos/2. This lines up the vector with 3-space vectors written in homogenous coordinates, making it very popular in code that already has to deal with those. Anybody know if there is any real convention to do it this way, and/or the way shown in the article with the cos term first? [[User:Spitzak|Spitzak]] ([[User talk:Spitzak|talk]]) 17:55, 8 October 2024 (UTC)
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