Empire Geometry

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

India

Turn	Cities	Span	Spacing	Elongation
0	1	0	—	—
21	2	6	6.0	1.0
33	3	12	6.7	1.38
152	4	13	5.5	1.37
155	5	14	5.6	1.47

The city count stopped adding up at turn 158 (game 4, timeline 5). A city most likely left the map without leaving an event behind, so the shape from then on is approximate.

Zimbabwe

Turn	Cities	Span	Spacing	Elongation
0	1	0	—	—
33	2	5	5.0	1.0
41	3	9	5.0	1.42
48	4	13	5.0	1.73
50	5	16	5.0	1.88
103	6	17	5.0	1.86
142	7	17	5.0	1.94
146	8	26	5.5	2.3
147	9	29	5.4	2.35
149	10	30	5.4	2.4
173	11	30	5.4	2.48
178	12	30	5.1	2.54

The city count stopped adding up at turn 146 (game 7, timeline 8). A city most likely left the map without leaving an event behind, so the shape from then on is approximate.

England

Turn	Cities	Span	Spacing	Elongation
0	1	0	—	—
42	2	6	6.0	1.0
58	3	8	4.7	1.33

Netherlands

Turn	Cities	Span	Spacing	Elongation
0	1	0	—	—
30	2	7	7.0	1.0
59	3	7	5.7	1.11
69	4	16	7.3	1.55
122	5	20	6.4	1.85
130	6	24	6.2	2.14
138	7	24	6.1	2.13
147	8	29	6.0	2.42
169	9	49	7.7	2.96

Iroquois

Turn	Cities	Span	Spacing	Elongation
0	1	0	—	—
27	2	4	4.0	1.0
48	3	7	4.3	1.31
50	4	7	4.3	1.24
72	5	17	5.4	1.89
73	6	21	5.2	2.19
81	7	21	5.0	2.27
127	8	21	4.9	2.22
132	9	22	4.6	2.21
152	8	22	5.0	2.09
155	7	15	3.9	1.78

Tibet

Turn	Cities	Span	Spacing	Elongation
0	1	0	—	—
31	2	4	4.0	1.0
43	3	4	4.0	1.0
73	4	7	4.0	1.56
89	5	10	4.2	1.75
91	6	12	4.2	1.82
104	7	14	4.1	2.03
106	8	16	4.0	2.06
126	9	23	4.3	2.44
128	10	23	4.3	2.48
137	11	26	4.0	2.42
137	12	29	4.2	2.51
137	13	29	4.2	2.36
141	14	35	4.4	2.53
152	15	37	4.9	2.46
155	16	46	5.2	2.79
168	17	46	5.2	2.75
175	18	50	4.7	2.79
180	19	52	4.7	2.75

Distances in hexes. Measured on a map 58 tiles wide. 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.