Wikipedia Talk:Aperiodic tiling

Help rewrite

I fully understand the difference between nonperiodic and aperiodic.
I failed to make it clear that it the first clause of that sentence
that is redundant.  A non-redundant form of that statement would be
"In geometry, an aperiodic tiling is a tiling by a finite set of
prototiles that do not admit any periodic tiling.".  It is redundant
to say that the tiling is nonperiodic, because that is immediate
from the statement that its prototiles can only tile nonperiodically.
Incidentally, I consider the rewording "... that does not repeat
itself..." to be an unhelpful dumbing-down of "nonperiodic".  -Dan
Hoey 12:26, 24 April 2007 (UTC)