Friday, March 16, 2012

?? g2 .... ??? tweak map .... ??? uniqueness up to so(7) elt ??? .... ??? ... conceptual argument for why split quaternion lines can't change if nil lines don't .... ??? ....

?? whether we _did_ accidentally omit tweak in latest animation ??? ..... ??? ... ?? built in to "displayconfig2" or not ?? .... i was assuming yes, i think ... ??? ....

?? any tweak map analog in lower dimensions ??? .... ??? ....

?? "boost" ... ????? ..... geometry of isometries .... ???? ...

?? so ... looks like tweak map is definitely built into displayconfig2 ... and i tried various alleged split quaternion lines ... looks to me like they could all be non-skid ... the one that's supposed to be pure spin seems to be pure spin ... so though some aspects of it i didn't quite get ...

?? what happens if you use our intended algorithm except the anticommutator isn't normalized the right way ?? ... ?? because that's what might be happening ?? ... hmmm .... ??? maybe try more explicit normalization of the anticommutator .... ???? ....

??? at the moment for my alleged canonical "special cayley-dickson" line, i seem to be getting for some reason that exactly halfway through the loop the rolling ball is "dot-centered" ... and very centered in the whole picture .... and at a nice angle ... ???? ....

?? _is_ the tweak map telling us about some mismatch between g2 geometry and so(7) geometry, or conversely is it telling us about some _better_ way to see (...) so(7) geometry ?? ....

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