Empire Geometry

How each empire's shape changed as it gained and lost cities.

Chile

Turn	Cities	Span	Spacing	Elongation
0	1	0	—	—
34	2	8	8.0	1.0
52	3	12	6.7	1.38

Vietnam

Turn	Cities	Span	Spacing	Elongation
0	1	0	—	—
22	2	4	4.0	1.0
31	3	9	4.3	1.5
75	4	9	4.3	1.54
75	5	9	4.2	1.5
120	6	9	4.2	1.47
121	7	14	4.3	1.96
140	8	18	4.1	2.14
144	9	18	4.1	2.03

Bolivia

Turn	Cities	Span	Spacing	Elongation
0	1	0	—	—
25	2	6	6.0	1.0
39	3	6	4.7	1.13
55	4	8	4.5	1.41
105	5	12	4.4	1.85
112	6	12	4.0	1.68
112	7	12	4.0	1.67
130	8	12	4.0	1.6
140	9	12	4.0	1.59

Iroquois

Turn	Cities	Span	Spacing	Elongation
0	1	0	—	—
31	2	4	4.0	1.0
43	3	8	4.0	1.5
52	4	11	4.0	1.74
57	5	12	4.0	1.79
100	6	13	4.0	1.77
101	7	13	4.0	1.86
110	8	23	5.0	2.33
120	9	23	4.0	2.05
142	10	31	4.6	2.41

Distances in hexes. Measured on a map 46 tiles wide, inferred from the plots rather than reported by the log. Spacing is the mean distance to the nearest own city: 7 leaves no tiles shared at full growth, around 4 means cities permanently overlap. Elongation near 1.4 is a compact empire, 2 and above one strung out in a line.