?? topics for huerta ... ?? ...

?? fixed points of tweak map .... ??? 2-rolls away .... ??? 4d cone ... ??? this as maybe indicating tweak map isn't linear, though maybe i should just check directly .... ??? .... ?? trying to understand tweak map conceptually .... ??? so (7) ?? ....

?? associativity for r,i1,i2 ... ?? preserved by cayley-dickson ???? ... ???

?? mystical "2n+1" stuff ... schanuel's open interval ... ?? binary numbers and ruler markings ... ??? ....

?? structure constants in terms of binary numbers ... ??? ...

?? evil one .... ???? ....

action vs grading ... grading approach to anti-involution and cayley-dickson .... ???? ....

a 1 a
-1 0 1
-a -1 -a

s 1 s
1 1 1
s 1 s

those are just casual guesses so far ...

?? albert's parameter here ???

?? trying to count degrees of freedom and degrees of wasted freedom here ... ??? ....

?? cartesian square showing up here ??? .... ???? ....

incidence geometry .... new "line"s ... reconsideration of orientation classification macro-micro relationship ... ?? trying to understand and resolve disagreements here ??? ....