New South Wales
The following rules entries solve your problem:
Rules - Rune Die wrote:
The Rune Die has twelve faces with four different
colors that correspond to the colors on
the Rune Spaces and Crystal Compass.
Rules - Crystal Compass wrote:
The Crystal Compass has four
directions and four colors, matching
the Runes throughout the
game. Use it to determine random
directions and movement on the
Game Board, as well as random
player events. Roll the Rune Die,
also with matching Runes, and
refer to the corresponding arrow
on the Crystal Compass.
So yes, the Compass direction.