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A binary sequence

February 4th, 2008 · No Comments

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’!

Tags: Book writing · Mathematics · Python Book

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