We have for each kind of regular and repeating groups extracted
from the Dynamic Structure
of Prime Numbers
in the Range until 1,000,000,000

 Groups Maximal size Flats 5 Zigzags 6 Stairs 9=32 Oddsymmetriads 7 Evencurls 10 Evensymmetriads 12 Irregular repeating groups (in the range until 3,000,000) 12 Oddcurls 13 (6+7)
 We see here the important role  of the basic primes 2 and 3,  the key number 6,  and numbers 5, 7, 9, 10, 12, and 13.   All of these numbers there are  in these geometrical figures below:   the hexagram constituted by 2 interlaced triangles and having exactly 6 vertices, 12 points,  and subfigures:  7 small ones - 6 small triangles and 1 hexagon in the center,   9 of all - 7 small subfigures and 2 big triangles; and the pentagram having 5 vertices, 10 points, and 6 subfigures - 5 small triangles and 1 pentagon in the center.

¶Y " …the number system is comparable with the universe that the astronomer is studying… The number system is something like a cosmos.” M. Jutila What people have known about Numbers in the Universe

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