Single Comment

Wow. I just read all the comments for this section, and my eyes and brain
are very tired. I would like to say that the terms orthogonal, diagonal,
and even hippogonal work just fine for me, whether it's on a square
board
or a hex board. When you try too hard to read into things, they become
less
fun, in my opinion. On a lighter note, here's some suggestions for chess
movement directions, which I'm sure are linguistically and
mathematically
incorrect enough to really annoy some people:

Vertizontal, Hedrogonal, Hexaxial, Hipporadial, Horizagonal, Paraheximal,
Gonalogonal, Trigonagonal, Hexohippozontal, Radiogonal, Orthozontal,
Dihedraxial, Hexozontal, Verteximal, Zontifical, Edge-ognal,
Point-edgimal, Side-o-zontal, Polyhedronomical, Rookogonal, Bishagonal,
Knightaxial, Geogonal, Dihippaxial, Extragonal, and of course,         
Tri-di-hippo-horizo-vertico-radio-axio-hexo-agonalogonalogonal-wise

I'm sure these are all thoroughly useless but if you like them you can
have them.