Talk:Prouhet–Thue–Morse constant

Explain Douady-Hubbard ray connection
"The Prouhet-Thue-Morse constant occurs as the angle of the Douady-Hubbard ray at the end of the sequence of western bulbs of the Mandelbrot set. This can be easily understood due to the nature of period doubling in the Mandelbrot set." Please expand it, because some things which are easily understood for you maybe hard to understand for others( like me ). (:-))--Adam majewski (talk) 09:05, 9 February 2008 (UTC)

Not the Thue constant I know
Thue constant redirects here at the moment. The constant I've come across having that name  is quite different, but still defined by a binary sequence.

Does anybody know enough about this to write about it? Moreover, maybe there's a name for the general class of numbers to which this constant belongs - numbers defined by iterated substitution mappings in some number base. Can anyone enlighten? — Smjg (talk) 18:02, 22 March 2014 (UTC)


 * They are morphic words. Deltahedron (talk) 18:21, 22 March 2014 (UTC)