## Thue-Morse constantAlso known as the parity constant, the number defined as
follows: Take a string of 1's and 0's and follow it by its complement (the
same string with 1's switched to 0's and vice versa) to give a string twice
as long. Repeat this process forever (starting with 0 as the initial string)
to get the sequence 011 010 011 001 011 010 010 110.... Make this a binary
fraction, 0.011 010 011 001 011 0...2, and rewrite it in base 10. The resulting
transcendental number, 0.412 454
033 64..., is the Thue-Morse constant. ## Related category• NOTABLE NUMBERS | |||||

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