Er, the edge length of a GURPS hex isn't half a yard. The edge length is about 0.58 yards.
A GURPS hexagon has a side-to-side length of 1 yard (so to travel through one whole hex you travel one yard). Call this side-to-side length 'd'. The area of a hexagon is sqrt(3)/2 * d^2, or in this case just sqrt(3)/2, or 0.866.
Quote:
Originally Posted by gilbertocarlos
Imagine an hexagon, now name the edges A, B, C, D, E and F.
If 1y is from the edge A to edge D, then it is 0.64952y², rounded to 0.65y²
If 1y is from line AB to line DE, then it is 0.866y²
Thats a 4/3 difference.
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I think what you meant was that the vertices are A, B, C, D, E, and F.
A GURPS hexagon has a distance of 1 yard from line AB to line DE - that's the distance someone would need to travel to cross the hexagon from a hex directly below it to the hex directly above it.
The distance from one vertice of the hex to the opposite one doesn't matter at all; it's not something that's within the GURPS definition of the hex and has no relation whatsoever to hex-based movement.