Single Comment

Charles,

We're in agreement on the meaning of orthogonal, but we're not in
agreement on the words standard and nonstandard. You say that nonstandard
means 'different from that used in the standard games'. I disagree. A
standard is a rule or principle that establishes how things should be. For
example, there is a standard that diagonal lines of movement pass through
spaces at their centers and corners. On hexboards it results in different
numbers of diagonals at different angles than it does for square boards,
but it's the same standard. All that's different is the application. We
may call a hexboard a nonstandard application, but it's still the
application of the standard concerning what diagonal lines of movement
are. The inventor of the oldest hex variant may have been ignorant of this
standard, but his ignorance is not an adequate argument against it.