# Movement speed

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Travian is a real-time game. Troops and merchants must travel from one spot to another, and this process takes actual time. The movement speed of an attack, a reinforcement, or a merchant determines how long you must wait for the action to occur.

Travian's game world consists of "fields" upon a toroidal board, partitioned using a Cartesian coordinate system. In simpler words: every field has an "X" and a "Y" coordinate, and the coordinates wrap around at the borders. Coordinates in Travian are written in the form **(X|Y)**. (0|0) is the center of the board (and is always occupied by a Multi-Hunter village); (400|0) is on the far eastern edge, which wraps around (is adjacent to) the far western edge at (-400|0). Likewise, the northern edge is (0|400) and the southern edge is (0|-400), and this border also wraps around. (400|400) is the location of the Natars' capital village.

Villages and oases reside on this game board, at fixed coordinates. (Villages can be created and destroyed; oases are pre-allocated at world generation time.) The distance between two villages, or between a village and an oasis, is determined by applying the Pythagorean theorem to the coordinates. For example, consider a village at **(23|-17)** and a village at **(-3|4)**. The horizontal distance between them is **26** fields (23 minus -3), and the vertical distance is **21** fields (4 minus -17). By the Pythagorean theorem, the distance between these points is **sqrt(26 ^{2} + 21^{2})** or about

**33.42**fields.

An attack, reinforcement or merchant traveling this distance will do so at some specific *movement speed*, expressed in fields per hour. For example, a Teutonic merchant moves at 12 fields per hour. The trip from one of these villages to the other will take **sqrt(26 ^{2}+21^{2})/12** or about 2.79 hours. A merchant must also return, and this return trip will take the same amount of time. Travian will express the travel time, or the remaining time to arrival, in

*hours:minutes:seconds*format. Since this trip really takes

**sqrt(26**or 10026 seconds, Travian would express this as

^{2}+21^{2})/12*3600**2:47:06**.

A Gallic merchant moves at 24 fields per hour, so it would require **sqrt(26 ^{2}+21^{2})/24*3600** seconds, or 5013 seconds, or

**1:23:33**for a Gaul's merchants to make this trip.

Movement speed of troops (both attacks and reinforcements) is also affected by the Tournament square building.