What word describes something that can move orthogonally and diagonally?


Is there a word for the union of orthogonal and diagonal? If used in a sentence:



The queen in chess can move ______.



And used in another sentence:



There are infinitely many directions. My pet robot can only move vertically, horizontally, or diagonally at 45 degree angles (a total of eight uniformly distributed directions). My pet robot can move ______.



The rules for chess describe the queen as able to move vertically, horizontally or diagonally. Just as vertically and horizontally can be condensed into a single word, orthogonally, I was hoping to condense all three to a single word.



Answer



I have been doing some academic research in this area. The current coinage, which I think perfectly applies to the movement of the queen in chess, is octilinear. This term has been used to describe metro-map layouts that have followed Harry Beck's paradigm. The vertices of a unit-spaced octilinear grid describe the queen's range of motion (in multiples of 45 degrees; four axes and eight possible directions). So, to complete your sentence:



The queen in chess can move octilinearly.



Octilinear grid


The most recent journal paper in the schematic mapping field is: Octilinear Force-Directed Layout with Mental Map Preservation for Schematic Diagrams. And a search on Google scholar will show that octilinear is now a widely-accepted term, that hopefully will move into mainstream vocabulary!


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