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## Travel TimeEditar

A common metric regarding movement is the square. For instance, one could say that a Warlock moves one square every half hour. A Warlock's Travel Speed is indicated as 2. However over greater distances, this can become inaccurate, because the length of the journey is not restricted to moving at right angles along the grid.

This can be demonstrated by two Settlements next to a Mountain; one to the southeast, and one to the south. Because the world map is a grid of squares rotated 45 degrees, the Settlement to the southeast shares an edge with your Mountain's square, and the one to the south only shares a single vertex.

If you send Raiding parties with the same speed to each, you'll see that the travel times differ; this because the southeast square is actually closer.

To go deeper, if you take a square of size 1, two points that share a line are exactly 1 apart, But two points that do not share a line are across the square, $\sqrt{2}$ away. So Goblin Keeper doesn't move from square to square, it calculates the distance from point A to point B and travels in a straight line.

It should also be noted that it always takes one square worth of movement to exit the Dungeon, regardless of direction.

Another factor is the travel speed bonus you receive from Swift Raiding Party and Swift Pillage Party. The Research text indicates it "Increases the travel speed by 10%".

That's exactly what it does; it takes the speed (in distance per second) and adds 10% to it. This is not the same as reducing travel time by 10%.

To go deeper, If the speed is 1 square per 1800 seconds ($1/1800$), and increase the speed by 10% ($(1/1800)*1.1$), and calculate the travel time ($1/((1/1800)*1.1) = 1800/1.1 = 1636.3636...$), which is more than we'd get if we simply reduced travel time ($1800*0.9 = 1620$).

## Overlord's Opinion Editar

This gives us the following way to calculate travel time:

${s(1+\sqrt{\Delta{x}^2+\Delta{y}^2})}\over{b}$

Where s is the creature's base speed (30 minutes for a warlock), and b the bonus from research (1 + 0.1 from swift + 0.05 from Forgotten Lore: Overlord Mastery.