somewhere else another reality

the hollow and the silk

parity groupings in two dimensions and the array is shown in expanded view

asea & piles

triples of perception

when looking at a sequence of symbols 3 numbers are perceptually present
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

two tw wo

spooky

sp po oo ok ky

sppooookky

sp pp po oo oo oo ok kk ky