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\includegraphics[width=\linewidth,height=.65\textheight,keepaspectratio]{figures/zeckendorf_digit_patterns.pdf}
\captionof*{figure}{\textit{sneak peak:} Fibonacci digits reveal another kind
of order. Each row writes a Markov value as a sum of nonconsecutive
Fibonacci numbers ($F_2=1$, $F_3=2$); dark tiles mark the summands.
The top panels follow two Meridians. The lower panels follow the two walls
of the $5\to13$ phasor-capped corridor ($1/2\to1/3$ in fraction labels).
From the leading digit onward, the strings increasingly resemble the
displayed templates; orange marks show the first difference.
These finite examples offer a glimpse of ongoing work, not a general
collision-exclusion result. Exact digit strings and plotting source are included.}
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