Basic Math classes teach about X and Y axis while covering graphs and slopes, but what about the Z axis?

Cartesian-coordinate-system.svg
Made by K. Bolino (Kbolino)

This is a classic 2 dimensional representation of the Cartesian Coordinate System which was invented by Rene Descartes in the 1700’s and propelled mathematics forward by linking geometry and algebra.

Coord system CA 0.svg
By Jorge StolfiOwn work, Public Domain, Link

And this is a is a 3 dimensional representation of the Cartesian Coordinate System with the addition of the Z axis. In mathematics, physics, and engineering contexts, the first two axes are often defined or depicted as horizontal, with the third axis pointing up.

Infrared Base-station “Lighthouse”
Second Lighthouse for better tracking
controllers tracked via infrared Lighthouses
signals converted into X,Y,Z coordinates
Head-Mounted Display (HMD) tracked for free movement.
boundaries show up within the VR headset to set limits.
Everything processed instantly by computer.

6 Degrees of Freedom (6 DoF) applies to Virtual Reality because when you have room-scale freedom to walk around and use your hands you are experiencing 6 Degrees of Freedom. This is a contrast to the early VR technology which allowed users to look up, down, left, and right (4 degrees) but without the ability to move forward or backwards.

In Robotics and Engineering, 6DoF is a vital concept.