- An infinitely self-similar numerical sequence -
- The first line shows the original sequence -
- The second line shows how the original sequence appears again in every 2nd term -
- The third line shows how the original sequence appears again in every 3nd term -
- The fourth line shows how the original sequence appears again in every 4th term -
- Fifth line, every 6th term -
- Sixth line, every 8th term -
- Seventh line, every 12th term -
- Eighth line, every 16th term -
- Ninth line, every 24th term -
- Tenth line, every 32nd term -
- Eleventh line, every 48th term -
- Twelfth line, every 64nd term -
and so on . . .
- this sequence could have any number of applications, from fractal melodic structures to rhythmic layering in different tempos, etc. -
Mathematical explanation of this sequence
First 10,000 terms of the sequence
PDF file of this image
