this post was submitted on 17 Jun 2025
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...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!?

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[–] mathemachristian@hexbear.net 1 points 1 month ago (1 children)

Dont know what graycode is but the pic looks like the iterations for cantors ternary set

[–] mathemachristian@hexbear.net 1 points 1 month ago (1 children)

Looked it up, likely that the other 1/3rd line is the alternating sequence

[–] xia@lemmy.sdf.org 2 points 1 month ago* (last edited 1 month ago)

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).