ConstructionEdit
Settlements are officially created by constructing a totem pole. This allows more advanced buildings, such as longhouses, to be built in the area. There are two requirements to build a totem pole; firstly, there must be no other totem poles within a 20-tile radius. Secondly, there must be at least three huts in the vicinity.
The 20 tile rule can be calculated using the distance formula, so that the totem poles are more than 20 units away. The huts and longhouses must be $ \scriptstyle \sqrt {5} $ units or less away from the totem pole, following the distance formula.
The Distance Formula Edit
Distance in one direction | Minimum distance in the other |
0 | 21 |
1 | 20 |
2 | 20 |
3 | 20 |
4 | 20 |
5 | 20 |
6 | 20 |
7 | 19 |
8 | 19 |
9 | 18 |
10 | 18 |
11 | 17 |
12 | 17 |
13 | 16 |
14 | 15 |
15 | 14 |
16 | 13 |
17 | 11 |
18 | 9 |
19 | 7 |
20 | 1 |
21 | 0 |
a^{2} + b^{2} = c^{2}
3^{2} + 4^{2} = c^{2} - Plug in a and b
9 + 16 = c^{2}
25 = c^{2}
$ \scriptstyle \sqrt {25} $ = c
5 = c - The hypotenuse is 5 units long.
The distance formula is essentially the Pythagorean Theorem in a graph. The line segment formed by the two points serves as the triangle's hypotenuse, and the legs are the line segments that would be formed to a point that is horizontal to one of the original two points, and vertical to the other. Suppose you want to find the distance between the points (5,-2) and (0,10).
|5 - 0|, |-2 - 10| - Find horizontal and vertical distance between the points.
|5|, |-12|
5, 12
5^{2} + 12^{2} = d^{2} - Plug them into the Pythagorean theorem.
25 + 144 = d^{2}
169 = d^{2}
$ \scriptstyle \sqrt {169} $ = d
13 = d - The two points are 13 units away.
Finding the distance between two map squares is similar to finding that of two points. For a totem pole to be placed, its distance from the nearest other totem pole must be greater than 20 units away, and for huts to count towards totem pole construction or a totem pole to allow longhouse construction, the two structures must have a distance lesser than 2$ \scriptstyle \sqrt {2} $. Here are three examples of the distance formula applied to Shintolin:
2 units horizontal distance, 1 unit vertical distance. | 8 units horizontal distance, 15 units vertical distance. | 7 units horizontal distance, 24 units vertical distance. |
2^{2} + 1^{2} = d^{2} | 8^{2} + 15^{2} = d^{2} | 7^{2} + 24^{2} = d^{2} |
4 + 1 = d^{2} | 64 + 225 = d^{2} | 49 + 576 = d^{2} |
5 = d^{2} | 289 = d^{2} | 625 = d^{2} |
$ \scriptstyle \sqrt {5} $ = d | 17 = d | 25 = d |
A longhouse can be built here, a totem pole cannot. | Neither a longhouse nor a totem pole can be built here. | A longhouse cannot be built here, a totem pole can. |
Word of warning Edit
It should be noted that there is little point to having your own settlement versus being the member of another mechanically speaking, and in fact unless your town's pop is of reasonable size you would all probably be better off in some other town, as you would be unable to adequately defend against an attack and sooner or later your town would get destroyed(they all do in the long run but those that can defend themselves have higher potential lives.).
List of Current Settlements Edit
- See Map - Settlement totems are marked by red squares.