## A binary sequence

2008-02-04T18:14:56

Playing with number series can be fun - even binary numbers can form interesting patterns!

`[0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1,`
`1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0,`
`0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0,`
`0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1,`
`1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0,`
`1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0]`
A tiny Python script generated the above series. Find anything interesting about it? Can you guess the pattern? What is the name of this series? I shall demonstrate a striking geometric property of this series by using a bit of Python turtle graphics - later! I am collecting such interesting stuff for the third part of my `Adventures with Neko'!

Gautham Ganapathy

Fri Aug 1 03:33:21 2008

Is it a fractal ? After some reorganization, the following repeating patterns come up 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0

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