7-state joining</h3>

<p>47-state joining is the most common, because it is the most useful. It
can show edges anywhere. The only restriction is that it may not join a
corner unless both sides next to that corner are also joined. 47 seems like
a strange number, but that's really what it works out to. Mathematically,
having 4 sides and 4 corners could mean up to 256 connections, which is
where <a href="#256">256-state joining</a> comes in, but the restriction on
how corners can be joined means that certain c