DeletedUser867
Guest
While it's mostly a future consideration, if someone on the fringe of your map has been doing tournaments, you would want to grow in that direction so that you would have access to tournaments that had a greater number of participants.
Also, I believe your distances are one ring too low. By my count the Relic Sectors per ring accumulate as follows:
[tr1][td2] 0 [/td2][td2] 0 [/td2][td2] 0 [/td2][td2] 0 [/td2][td2] 0 [/td2][td2] 0 [/td2][/tr1]
[tr2][td2] 1 [/td2][td2] 6 [/td2][td2] 0 [/td2][td2] 0 [/td2][td2] 6 [/td2][td2] 6 [/td2][/tr2]
[tr1][td2] 2 [/td2][td2] 12 [/td2][td2] 6 [/td2][td2] 6 [/td2][td2] 6 [/td2][td2] 12 [/td2][/tr1]
[tr2][td2] 3 [/td2][td2] 18 [/td2][td2] 6 [/td2][td2] 12 [/td2][td2] 12 [/td2][td2] 24 [/td2][/tr2]
[tr1][td2] 4 [/td2][td2] 24 [/td2][td2] 6 [/td2][td2] 18 [/td2][td2] 18 [/td2][td2] 42 [/td2][/tr1]
[tr2][td2] 5 [/td2][td2] 30 [/td2][td2] 12 [/td2][td2] 30 [/td2][td2] 18 [/td2][td2] 60 [/td2][/tr2]
[tr1][td2] 6 [/td2][td2] 36 [/td2][td2] 12 [/td2][td2] 42 [/td2][td2] 24 [/td2][td2] 84 [/td2][/tr1]
[tr2][td2] 7 [/td2][td2] 42 [/td2][td2] 12 [/td2][td2] 54 [/td2][td2] 30 [/td2][td2] 114 [/td2][/tr2]
[tr1][td2] 8 [/td2][td2] 48 [/td2][td2] 18 [/td2][td2] 72 [/td2][td2] 30 [/td2][td2] 144 [/td2][/tr1]
[tr2][td2] 9 [/td2][td2] 54 [/td2][td2] 18 [/td2][td2] 90 [/td2][td2] 36 [/td2][td2] 180 [/td2][/tr2]
[tr1][td2] 10 [/td2][td2] 60 [/td2][td2] 18 [/td2][td2] 108 [/td2][td2] 42 [/td2][td2] 222 [/td2][/tr1]
[tr2][td2] 11 [/td2][td2] 66 [/td2][td2] 24 [/td2][td2] 132 [/td2][td2] 42 [/td2][td2] 264 [/td2][/tr2]
[tr1][td2] 12 [/td2][td2] 72 [/td2][td2] 24 [/td2][td2] 156 [/td2][td2] 48 [/td2][td2] 312 [/td2][/tr1]
[tr2][td2] 13 [/td2][td2] 78 [/td2][td2] 24 [/td2][td2] 180 [/td2][td2] 54 [/td2][td2] 366 [/td2][/tr2]
[tr1][td2] 14 [/td2][td2] 84 [/td2][td2] 30 [/td2][td2] 210 [/td2][td2] 54 [/td2][td2] 420 [/td2][/tr1]
As a sanity check, each edge of the six equilateral triangles in the hexagon will be identical at each distance, so if the radius is 10 then the chord must also be 10. A radius 10 hexagon has 6 such chords, for 60 total sectors. On average, 2/3 rds of those sectors will be Relic sectors, but the progression is jumpy, as you can see in the above table.
Also, I believe your distances are one ring too low. By my count the Relic Sectors per ring accumulate as follows:
Ring Distance | Ring Sectors | City Sectors | Total Cities | Relic Provinces | Total Provinces |
---|
[tr1][td2] 0 [/td2][td2] 0 [/td2][td2] 0 [/td2][td2] 0 [/td2][td2] 0 [/td2][td2] 0 [/td2][/tr1]
[tr2][td2] 1 [/td2][td2] 6 [/td2][td2] 0 [/td2][td2] 0 [/td2][td2] 6 [/td2][td2] 6 [/td2][/tr2]
[tr1][td2] 2 [/td2][td2] 12 [/td2][td2] 6 [/td2][td2] 6 [/td2][td2] 6 [/td2][td2] 12 [/td2][/tr1]
[tr2][td2] 3 [/td2][td2] 18 [/td2][td2] 6 [/td2][td2] 12 [/td2][td2] 12 [/td2][td2] 24 [/td2][/tr2]
[tr1][td2] 4 [/td2][td2] 24 [/td2][td2] 6 [/td2][td2] 18 [/td2][td2] 18 [/td2][td2] 42 [/td2][/tr1]
[tr2][td2] 5 [/td2][td2] 30 [/td2][td2] 12 [/td2][td2] 30 [/td2][td2] 18 [/td2][td2] 60 [/td2][/tr2]
[tr1][td2] 6 [/td2][td2] 36 [/td2][td2] 12 [/td2][td2] 42 [/td2][td2] 24 [/td2][td2] 84 [/td2][/tr1]
[tr2][td2] 7 [/td2][td2] 42 [/td2][td2] 12 [/td2][td2] 54 [/td2][td2] 30 [/td2][td2] 114 [/td2][/tr2]
[tr1][td2] 8 [/td2][td2] 48 [/td2][td2] 18 [/td2][td2] 72 [/td2][td2] 30 [/td2][td2] 144 [/td2][/tr1]
[tr2][td2] 9 [/td2][td2] 54 [/td2][td2] 18 [/td2][td2] 90 [/td2][td2] 36 [/td2][td2] 180 [/td2][/tr2]
[tr1][td2] 10 [/td2][td2] 60 [/td2][td2] 18 [/td2][td2] 108 [/td2][td2] 42 [/td2][td2] 222 [/td2][/tr1]
[tr2][td2] 11 [/td2][td2] 66 [/td2][td2] 24 [/td2][td2] 132 [/td2][td2] 42 [/td2][td2] 264 [/td2][/tr2]
[tr1][td2] 12 [/td2][td2] 72 [/td2][td2] 24 [/td2][td2] 156 [/td2][td2] 48 [/td2][td2] 312 [/td2][/tr1]
[tr2][td2] 13 [/td2][td2] 78 [/td2][td2] 24 [/td2][td2] 180 [/td2][td2] 54 [/td2][td2] 366 [/td2][/tr2]
[tr1][td2] 14 [/td2][td2] 84 [/td2][td2] 30 [/td2][td2] 210 [/td2][td2] 54 [/td2][td2] 420 [/td2][/tr1]
As a sanity check, each edge of the six equilateral triangles in the hexagon will be identical at each distance, so if the radius is 10 then the chord must also be 10. A radius 10 hexagon has 6 such chords, for 60 total sectors. On average, 2/3 rds of those sectors will be Relic sectors, but the progression is jumpy, as you can see in the above table.
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