...if graycode is defined as having only one bit changed per transition, wouldn't you expect "all zeros" and "all ones" to be maximally distant from each other? Why is it a third? Is there something significant about the 2/3rd's mark then too? ... and why are 1-bit and 2-bit immune (it only starts at 3-bit)... and how does "3" come out of "binary" and "reflection" anyway!?
Looked it up, likely that the other 1/3rd line is the alternating sequence
Well, it does kinda make sense that all-ones and all-zeros would be equidistant from alternating, but there are two alternating sequences (one starting with 0 and another starting with 1).