?? split quaternions inside split octonions ... ?? "least skid trajectory" ??? .... nilpotents in split quaternions .... ??? ....

?? "least skid" as not quite right idea since you can get anywhere without skidding ... ??? .... ??? maybe "rolling while spinning" ... ??? .... ??? invariant distribution .... ????? ... ?? whether still not really getting explicit (?? ...) geometric interpretation of most generic octonion product yet, because of that (... ??? ... ??? ....) ???? ..... bruhat classes ... their tangent spaces .... ???? .....