If you prefer you can skip the last
ouroboros-style taping and the awkward stretching exercise and just cut
the three columns apart so that you have a prefix column, a midfix column,
and a suffix column. Instead of rotating the rings past each other, you
just slide your strips up and down next to each other.
Either way, any particular alignment of the three sliders is functionally
equivalent to making a grill with three windows in it. Sliding your next
slider up or down n rows is like offsetting your next window down or up n
rows. Reading across the three sliders on some random radius (or row) in
the proper order is functionally equivalent to plopping down the grill on
the matrix at some random location and reading the windows in the proper
order.
QED
Well, QED modulo edge effects. If you consider it legitimate to place a
grill on a matrix so that one or more windows is off the matrix, counting
that window as blank, then, you'll find you can't do that when you tape
the threes of matrix columns together. Now a window off the bottom of the
matrix will read into the corresponding column in the next three. I
believe you could handle this by allowing as many blank rows between
concatentated columns as you are prepared to allow total cumulative
effective offsets in your grills. I'll leave this as an exercise for the
reader, because it looks complicated.
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