  This paper describes an alternative method of generating fixed points of
certain substitution systems. This method centres on taking infinite words
consisting of one repeated letter per word. These infinite words are then
interlaced to form a new, more complex, infinite word. By considering
particular limits of interlacings of words, fixed points of substitutions are
generated. This method is then extended to two dimensions, where a structure
equivalent to a well known aperiodic tiling (the Robinson tiling) is
constructed.
