00 we see 2 symbols and 1 adjacent pair and count 2 symbols from the adjacent pair
000 we see 3 symbols and 2 adjacent pairs and count 4 symbols from the adjacent pairs
0000 we see 4 symbols and 3 adjacent pairs and count 6 symbols from the adjacent pairs
00000 we see 5 symbols and 4 adjacent pairs and count 8 symbols from the adjacent pairs
000000 we see 6 symbols and 5 adjacent pairs and count 10 symbols from the adjacent pairs
0-n0s-0 we see n symbols and n-1 adjacent pairs and count 2(n-1) symbols from the adjacent pairs
so with a worked out example
how many numbers do we naturally see in oooo ??
oooo 4
oo oo oo 3
oooooo 6
or the numbers 12 and 13 used in musical scales
12 notes from C to B
13 notes from C to C
12 semitones from C to C
and from the triples of perception idea we see these numbers
12, 11, 22
13, 12, 24
exploring adjacency with math art
the simplest example of emergence one could possibly think of is
the zig zag motion eyes do when counting adjacent pairs in a sequence
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