If x and y are horizontal, z is vertical; if x and z are horizontal, y is vertical. The words horizontal and vertical are generally used in a planar (2-dimensional) sense, not spatial (3-dimensional). Which is the reason you may not find a word corresponding to the third dimension along with horizontal and vertical.
single word requests - X, Y, Z — horizontal, vertical and ...
This would answer the original title of the question, which only specified synonyms for "horizontal" and "vertical" -- they're all directions. There can be many cells that are orthogonal, but not necessarily neighboring/touching.
Is there one word for both horizontal or vertical, but not diagonal ...
Is there a single, more generic term that can be used to describe both a row and a column? In English, we can refer to a line as being horizontal or vertical, but unless we say ‘a line of something’,
According to Wikipedia's architectural drawing page: A cross section, also simply called a section, represents a vertical plane cut through the object, in the same way as a floor plan is a horizontal section viewed from the top. This would suggest that section is only appropriate for vertical planes. However, section is more generally defined as, per dictionary.com: a representation of an ...
Mullioned windows are windows divided into panes by inner frames. The vertical frames are called mullions. What do we call the horizontal frames?
I want to work with the terms horizontal/vertical, but there's no term I can find to describe the z axis. Furthermore, from what I've read, many people define the horizontal direction as being the horizontal and vertical direction, with height being described as the vertical direction i.e, horizontal = area, vertical = height.