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40d:Z-axis
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The Z-Axis is the "third plane".
It's easy to think of a graph, with a x-axis and a y-axis right?
The X-Axis goes Side to Side, Left to Right...
<-----------------------------> X AXIS
The Y-Axis goes up and down!
/ / \ | | | | | \ / \ Y AXIS
Thus, things with both axies are 2 demnsional, whilst things with a Z-Axis that goes through the middle of the two are 3 demnsional.
In Dwarven Fortress, the Z-Axis is a fairly recent thing that allows players to dig holes, down into mountains, or up into mountains... allows them to dig ditches... etc. etc.
The Default Key-Binding to change your z axis are Shift + Numpad5 Control + Numpad5 Shift + . (>) and Shift + , (<)