= Generator

• A cluster contains systems
• A system contains stars ** A star contains orbits ** An orbit may contain planets *** A planet may contain natural resources

== Players Many settings depend on the number of players.

The variable N~P~ represents the number of players.

== Cluster The radius of the cluster depends on the number of players.

The variable C~r~ represents the radius (in light years).

The formula for determining Cr~isCr = NP`.

If C~r~ is less than 3, it will be set to 3.

The number of stars in a cluster depends on the radius of the cluster.

The variable N~s~ represents the number of stars.

The formula for determining N~s~ is N~s~ = C~r~^2^.

A cluster with a radius of 3 would have 9 stars and one with a radius of 16 would have 256 stars.

== Systems The number of systems will vary based on the random number generator's seed and the size of the cluster. It will never be less than 1 or exceed the number of stars in the cluster. (In other words, every system will have at least one star.)

Each system has a coordinate. The game uses Cartesian coordinates (X,Y,Z).

The location of a system is generated randomly (but with a few constraints). We use a method based on a FAQ by https://www.cs.cmu.edu/~mws/rpos.html[Mel Siegel] to pick the coordinates.

For each system after the first, we do the following 16 times:

. Set the "keeper" coordinate to nil. . Pick a new coordinate. . Find the minimum and median distance from this coordinate to all other existing systems. . If the minimum distance is less than "a certain value", reject it and start over at step 1. . If the "keeper" coordinate is nil or the median distance of the "keeper" coordinate is less than this coordinate: .. Set the "keeper" coordinate to this coordinate

Use the "keeper" coordinate for the new system.

The number of stars in a system is determined randomly, but is influenced by the distance from the system to the origin of cluster.

== Stars

The variable N~s~ represents the number of stars.

The formula for determining N~s~ is N~s~ = C~r~^2^.

A cluster with a radius of 3 would have 9 stars and one with a radius of 16 would have 256 stars.