Copyright © University of Cambridge. All rights reserved.
'Stringing it Out' printed from https://nrich.maths.org/
$$T(x) = y $$ $$T(y) = xy$$This transformation has the
following successive effect (starting with $x$): $$x \Rightarrow
T(x) = y$$ $$ y \Rightarrow T(y) = xy$$ $$ xy \Rightarrow T(x)T(y)
= yxy$$ $$ yxy \Rightarrow T(y)T(x)T(y) = xyyxy$$ $$ xyyxy
\Rightarrow T(x)T(y)T(y)T(x)T(y) = \dots$$