# ABACABA pattern

DABACABA patterns in (3-bit) binary numbers

The ABACABA pattern is a recursive fractal pattern that shows up in many places in the real world (such as in geometry, art, music, poetry, number systems, literature and higher dimensions).[1][2][3][4] Patterns often show a DABACABA type subset.

## Generating the pattern

In order to generate the next sequence, first take the previous pattern, add the next letter from the alphabet, and then repeat the previous pattern. The first few steps are listed here.[4]

Step Pattern
1 A
2 ABA
3 ABACABA

## Gallery

1. ^ The strength, emphasis, or importance of the beginning of each duration ${\displaystyle 1/8}$  the length of a single measure in 4/4 (eighth-notes) is, divisively (${\displaystyle 2/2^{1}=1}$ , ${\displaystyle 4/2^{2}=1}$ , ${\displaystyle 8/2^{3}=1}$ ), determined by each eighth-note's position in a DABACABA structure, while the eighth notes of two measures grouped, additively (${\displaystyle 8\times 2=16}$ ), are determined by an EABACABADABACABA structure.[3]