Minecraft icosahedron world numbers

    icosahedron {
        http://en.wikipedia.org/wiki/Icosahedron

        km^2 regionEdgeToSurfaceArea (RegionEdge edge) {
            return (8.66025404*((edge*512)^2))/1000;
        }
        RegionEdge surfaceAreaToRegionEdge (km^2 surface) {
            return (sqrt((surface*1000)/8.66025404))/512;
        }

        chunk           =           256 m^2
        region          =        262144 m^2
        regionedge (re) =           512 m

        surface(1re)    =      2270.234 km^2
        surface(2re)    =      9080.935 km^2
        surface(4re)    =     36323.738 km^2
        surface(8re)    =    145294.953 km^2
        surface(16re)   =    581179.810 km^2
        surface(32re)   =   2324719.242 km^2
        surface(64re)   =   9298876.969 km^2
        surface(128re)  =  37195507.877 km^2
        surface(256re)  = 148782031.507 km^2
        surface(512re)  = 595128126.030 km^2

        http://en.wikipedia.org/wiki/List_of_Solar_System_objects_by_size

        * Atlas         =      2941.662 km^2   (1.138re)
        * Cordelia      =      5076.939 km^2   (1.495re)
        * Prospero      =      7853.982 km^2   (1.860re)
        * Nix           =     27523.368 km^2   (3.482re)
        * Vesta         =    867221.447 km^2  (19.545re)
        * Orcus         =   1274760.909 km^2  (23.696re)
        * Sedna         =   1935927.933 km^2  (29.202re)
        * Ceres         =   2850000.000 km^2  (35.431re)
        * Oberon        =   7285101.534 km^2  (56.648re)
        * Pluto         =  16650000.000 km^2  (85.639re)
        * Eris          =  17000000.000 km^2  (86.534re)
        * Haumea        =  20000000.000 km^2  (93.860re)
        * Moon          =  37930000.000 km^2 (129.258re)
        * Mercury       =  74800000.000 km^2 (181.516re)
        * Mars          = 144798500.000 km^2 (252.550re)
        * Venus         = 460000000.000 km^2 (450.136re)
        * Earth         = 510072000.000 km^2 (474.002re)
    }