?? relationship between kaleidoscopic toric variety and ... ??? something that happened when i was trying to get the g2 rolling ball animation to work .... ??? "one roll away from any of the 6 special configurations" ... ????? .... ??????? ...... ???? ....

?? "super-tile" generalized chamber .... ??? corresponding co-chamber ... ??? ... as intersection of main co-chambers ... ??? ....

?? full kaleidoscopic toric variety as non-singular, but supertile-blowdowns as sometimes singular ... b2 (also g2 ...) cases as probably pretty instructive .... ??? ....

?? _does_ something about this sound vaguely familiar ?? ... ?? or am i now hallucinating a false memory about ... some aspect of schubert singularities as showing up more prominently in case of partial flag variety, as vs total ... ???? ....

?? orbit stack of kaleidoscopic toric variety under weyl group action ?? .... ?? ?? TAG-ness ??? ..... ???? .....

?? are we claiming that weyl cochamber spectrums are essentially just bruhat cells ????? ..... ????? .... ??? do dimensionality calculations work out here ?? .... ??? ....

??maybe only special bruhat cells are showing up here ??? ... ?? "allowed to use each generator only once" ???? .... ???? .... ??? have we bumped into these before ??? ...... ?? sounds plausible that we may have, but not completely sure at the moment .... ???? .....

?? would be nice to unify this with penrose diagram picture in b2 (and more general b series?? ...) case .... ???? .....

??? hmmm, blow-ups here as maybe meshing very nicely with "normal cone" intuitions .... ????? ......

?? some cone / cocone confusion (?? maybe not too bad ??? ...) here connected with toric singularities and "chess vs checkers" .... ????....

??? is "invariant higher-order distribution" idea meshing nicely with blowdown aspect of "weyl co-multi-chamber toric variety" ??? insofar as both relate to schubert singularities ??? ..... ??? ?? maybe _very_ nicely ??? ..... ?? some recent remark of mine about weyl cochambers and ... well, that higher-order distribution stuff, even if i didn't mention it by that name ... ????.....

?? which sorts of "bruhat cell" really are just affine spaces ??? .... ??? some confusion here ... ?? .... ??? try to straighten out .... ???..... ???? .....