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]

  1. A
  2. ABA
  3. ABACABA
  4. ABACABADABACABA
  5. ABACABADABACABAEABACABADABACABA
  6. ABACABADABACABAEABACABADABACABAFABACABADABACABAEABACABADABACABA

See also

References

  1. ↑ "ABACABA Amazing Pattern, Amazing Connections". Retrieved 2017-10-06.
  2. ↑ "Exploring Fractals with ABACABA – Chicago Geek Guy". Chicago Geek Guy. 2016-04-21. Retrieved 2017-10-06.
  3. ↑ Naylor, Mike. "Abacaba! – Using a mathematical pattern to connect art, music, poetry and literature" (PDF). Retrieved October 6, 2017.
  4. 1 2 Conley, Craig (2008-10-01). Magic Words: A Dictionary. Weiser Books. ISBN 9781609250508.


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