|Eric Brittain Venture-Captain, California—San Diego|
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Your speed tells you how far you can move in a round and still do something, such as attack or cast a spell. Your speed depends mostly on your size and your armor.
Dwarves, gnomes, and halflings have a speed of 20 feet (4 squares), or 15 feet (3 squares) when wearing medium or heavy armor (except for dwarves, who move 20 feet in any armor).
Humans, elves, half-elves, half-orcs, and most humanoid monsters have a speed of 30 feet (6 squares), or 20 feet (4 squares) in medium or heavy armor.
Miniatures are on the 30mm scale—a miniature of a 6-foot-tall man is approximately 30mm tall. A square on the battle grid is 1 inch across, representing a 5-foot-by-5-foot area.
As a general rule, distance is measured assuming that 1 square equals 5 feet.
Diagonals: When measuring distance, the first diagonal counts as 1 square, the second counts as 2 squares, the third counts as 1, the fourth as 2, and so on.
You can't move diagonally past a corner (even by taking a 5-foot step). You can move diagonally past a creature, even an opponent.
Movement, speed, and distance in Paizo's Pathfinder roleplaying game are defined in squares.
There are no rules that define movement, speed, or distance in hexes (excluding mass combat).
My conclusion is that since there are no reference for the use hexagonal based battle maps in the game for standard movement the use of such battle maps is not supported under the rules as written.
As PFS is a RAW campaign we are required to use squares for the battle grid. We are not allowed to use hexagonal battle maps for running PFS.