The AVID
Moving in 3-D uses a play aid called an Attitude/Vector Information Display (AVID). They’re keyed to the A-F directions printed in the center of the map. The AVID is fixed to the hex map; your ship rotates in the AVID the same way it changes facing in a hexagon.
The blue hexagon represents the map hex our ship is in. Inside of it is a top down view of a sphere, with the north pole (90°) being the purple circle, going to 60°, 30° and 0° for green, blue and yellow respectively. The rings are subdivided into spaces called “windows.” The arrows around the the outside of the hexagon are for vector (Mode 2) movement, the row of arrows at the bottom left are for cinematic (Mode 1) movement (also know as "Whoosh!" movement, as seen in Star Wars or Star Trek).
A ship floats in the center of the sphere, like the illustration below.
Full-sized image
This ship has its nose pointing to the right and it rolled 60 degrees clockwise. The line sticking straight out of its top comes out of the page, while the line from its left side points up. (note 1) For example, On this ship, the nose (triangle), aft (semi-circle), top (star-coming out of the page) and sides (the two chevrons) are visible, with the bottom (the Anchor symbol) obscured by the hex map directions and the AVID ‘wall’.
In the computer rendered illustration, notice that the ship’s nose is pointed towards the B/C hex corner, and that the left side symbol is rolled up, and is sticking through the blue ring of the AVID shown behind the ship. This matches the orientation shown on the AVID above, with the ship facing B/C, rolled to its right by 30°, with the left side marker in the blue ring, and the right side marker in the opposite blue ring, circled to show that it’s sticking out of the bottom of the AVID.
Next to the AVID is a key showing the symbols used to record which way a part of your ship is facing. An orientation symbol that’s on the underside of the AVID (like the anchor in this example) is circled. All AVID symbols have to be 3 windows (90°) apart.
Once a ship’s orientation is indicated, we can plot its movement.
Note 1: The angle that we're looking at the ship makes these "more-or-less" directions. For example, from our view, the Top line come out of the page, tilted to the left and a bit up. That's relative to our view, but we're looking down at the map at an angle ...