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# Generate uniform random points on the sphere
 
# Generate uniform random points on the sphere
# Run [Lloyd's algorithm http://en.wikipedia.org/wiki/Lloyd%27s_algorithm] on it about 30-50 times with the right metric ([great circle distance http://en.wikipedia.org/wiki/Great-circle_distance]).
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# Run [http://en.wikipedia.org/wiki/Lloyd%27s_algorithm Lloyd's algorithm] on it about 30-50 times with the right metric (see: [http://en.wikipedia.org/wiki/Great-circle_distance great circle distance], [http://en.wikipedia.org/wiki/Spherical_trigonometry#Area_and_spherical_excess area of triangles and polygons on a sphere], [http://stackoverflow.com/questions/19897187/locating-the-centroid-center-of-mass-of-spherical-polygons getting the centroid of a polygon on a sphere]).

Version vom 8. Juli 2014, 13:20 Uhr

Generation of a random geo-strategic map with a given amount of areas and average connectivity approaching six for large amount of areas (randomised hex placement).

Steps:

  1. Generate uniform random points on the sphere
  2. Run Lloyd's algorithm on it about 30-50 times with the right metric (see: great circle distance, area of triangles and polygons on a sphere, getting the centroid of a polygon on a sphere).