Thanks for posting. I think that dates back to DBA 1. I gave it a quick read and for the shortest spanning army did not see Spartacus, lasting 3 years and with only one opponent. That army was in 2.0, so is the list from DBA 1?
Still fun to read, who will do it for 3?
I'm not sure who did the analysis, but I think this was done shortly after DBA 3.0 was released. I can't attest to its accuracy. Here it is:
## Note on Methodology ##
All of these statistics are about the gross mechanical natures of the lists, and are based on the assumption that the various glosses within an army list are not mechanically relevant. If an entry read "3x Blue (Ps) or Red (Ps)", then I have treated it as a single 3x Ps, and not as two options each of which are 3x Ps. If the types are different, such as "2x Purple (3Ax) or Green (Ps)" then that represents a significant choice. Likewise Fast/Solid pairs such as "3Ax/4Ax" entries are treated as the option between "3Ax or 4Ax".
## The Special and Not So Special Snow Flakes ##
Thanks to the variety of options within each list, there are 27739 unique army configurations permitted by the 605 lists and sub-list variations allowed in DBA 3.0. The following three configurations are the most frequent, each shared by 8 armies which can field that particular array of elements by selecting the right options:
1xGeneral(Cv), 1xCv, 2xPs, 8xSp
(Shared by: I/35d, I/52i, I/55b, I/55c, I/57a, I/57b, II/81c, III/1b)
1xGeneral(Cv), 2xCv, 1xPs, 8xLH
(Shared by: II/38a, II/41a, II/61a, II/61d, III/11b, III/30b, III/74a, III/80)
1xGeneral(Cv), 2xCv, 9xLH
(Shared by: II/38a, III/14a, III/30b, III/44, III/74a, IV/35, IV/52, IV/67)
After that, the number of armies sharing a configuration are as follows:
3 by 7 armies
2 by 6 armies
2 by 5 armies
23 by 4 armies
45 by 3 armies
470 by 2 armies
27191 unique to 1 army.
## The Kaleidoscope ##
The individual armies with the greatest number of possible configurations are:
II/4e Other Chinese Armies 355-202BC: 6384 configurations
III/69 Western Sudanese Army: 1080 configurations
III/17 Maurikian Byzantine Army: 864 configurations
II/25 Bosporan Army: 810 configurations
I/13b Shang Chinese Army 1299-1017 BC: 756 configurations
III/20a Sui Army 581-611AD: 750 configurations
I/4b Guti "Great Revolt" Army 2250-2112 BC: 600 configurations
II/7 Later Achaemenid Persian Army: 600 configurations
III/39 Late T'ang or Five Dynasties Army: 567 configurations
II/55c Beja Army 832-1500AD: 456 configurations
If you had a complete II/4e army, and played 3 games a day on average, you could play a new configuration every game for almost 6 years.
## The everyday working Joe ##
The most "average" army configuration would be:
1xGeneral(Cv), 2xCv, 2xLH, 2xSp, 2x3Ax, 3xPs
This result was achieved by averaging the number of times an element appears across all armies, sorting them, then rounding up to the nearest whole number (since partial stands would probably affect combat with weird frontages...) and taking elements until 1 General and 11 troop units were fulfilled.
## We Get All Types 'round Here ##
These are the armies which have the greatest number of different element types allowed. Each general type is counted uniquely from any similar non general type.
III/39 Late T'ang or Five Dynasties Army: 15 unique element types
II/79a Northern Dynasty Army: 14 unique element types
III/62b Southern Sung Chinese Army 1127-1279AD: 14 unique element types
II/4e Other Chinese Armies 355-202BC: 13 unique element types
IV/4b Feudal French Army 1200-1330AD: 13 unique element types
II/56 Early Imperial Roman Army: 13 unique element types
III/20a Sui Army 581-611AD: 13 unique element types
IV/61 Italian Condotta Army: 13 unique element types
## We Don't Serve Your Kind Here ##
The flip side are armies with the least number of unique possible elements. Again, each general type is counted uniquely from any similar non general type, so the minimum is going to be 2 types, which only 1 list, IV/12e Maori Army, can fulfil, with a 3Bd General and 11 3Bd troops.
After that, there's a 21 way tie among armies which have only 3 unique element types.
## Monomania ##
You can build armies which have all 12 stands, including generals, of the following single types:
LH, Cv, 3Kn, 3Bw, 3Bd, 4Ax, 4Bd, Sp
## They Are Legion (but not necessarily Roman) ##
The armies requiring the most number of elements in order to field every possible configuration.
II/4e Other Chinese Armies 355-202BC: 39 total elements
III/69 Western Sudanese Army: 33 total elements
I/13b Shang Chinese Army 1299-1017 BC: 29 total elements
I/48 Thracian Army: 29 total elements
II/41a Western Han Army 202BC-24AD: 29 total elements
III/20a Sui Army 581-611AD: 29 total elements
## Any Colour You Like, So Long as it's Black ##
67 lists require 12 specific elements with no alternate options allowed.
## Painter's Nightmares ##
These armies have the most number of figures required for every possible option in the list, including both halves of elements which can dismount. As noted above, this does not differentiate any national/tribal/stylistic differences in elements, so your Numidian Javelin skirmishers are treated the exact same as Balearic Slingers for purposes of these numbers as long as they're both Ps in the same list entry.
III/15 Tibetan Army: 87 figures
I/60c Achaemenid Army 539-420 BC: 69 figures
IV/64b Medieval French Army 1347-1400AD: 69 figures
III/7b Ritsuryo or Early Heian Army 646-900AD: 68 figures
IV/64c Medieval French Army 1401-1445AD: 68 figures
## Never Have So Many Owed So Much To So Few ##
Armies with the least number of figures required to build every possible option. This counts Chariots and Elephants as a single model.
II/80d Other Hunnic Armies 374-558AD: 24 figures
I/21b Later Babylonian Army 889-747 BC: 25 figures
I/21a Kassite Babylonian Army 1595-890 BC: 25 figures
III/6b Emishi Army 700-878AD: 26 figures
IV/46 Ilkhanid Army: 27 figures
I/7c Early Libyan Army 665-476 BC: 27 figures
## The Few, The Proud, the Army in a Weekend ##
The smallest number of figures you can have to make any single army, of any possible variation allowed, again, counting Chariots and Elephants as a single model.
I/5d Early Susiana or Elamite Army 1400-800 BC: 21 figures
III/47 Pecheneg Army: 23 figures
I/21a Kassite Babylonian Army 1595-890 BC: 23 figures
II/40 Numidian or Early Moorish Army: 23 figures
Then a 14 way tie for armies which require 24 figures, including several of the LH-based horse army’s and a number of Ps based armies with Chariots or Elephants.
## I Think I've Met You Before ##
How often each element appears as a separate entry in any army list. ("3xPs" counts as one, "2xPs,1xPs”; counts as 2.)
Ps: 779
Cv: 623
LH: 460
3Kn: 347
Sp: 301
3Ax: 288
3Bw: 234
4Ax: 226
4Bd: 211
7Hd: 146
## Popularity Contest ##
The total number of times elements appear in all army lists. ("3xPs" and "2xPs,1xPs”; both count as 3 appearances)
Ps: 1504
LH: 906
Cv: 880
3Ax: 819
Sp: 810
3Bw: 594
4Ax: 518
3Kn: 495
4Bd: 423
4Pk: 366
## The Loudest Yellers Ride Horses ##
The most common general element types across all configurations of all armies:
Cv: 249
3Kn: 151
LCh: 70
HCh: 41
4Bd: 34
Sp: 33
4Kn: 29
3Bd: 27
LH: 26
4Ax: 24
## They Ride Single File to Hide their Numbers ##
These are the element types with the highest ratio of total element count to number of entries. If only 2 armies had entries for 6Cm, one at 4x 6Cm, and one a 2x 6Cm, then for 6Cm, the average count per entry would be 3.00.
6Bd: 5.00
Cm//3Lb: 4.00
3Kn/4Wb: 4.00
Cm//Sp: 4.00
3Pk: 3.08
Cv//3Bw: 3.00
4Wb: 2.98
3Lb: 2.93
4Pk: 2.90
3Ax: 2.84
## And My Other Brother Darryl ##
The most common troop entries, including quantities as part of the uniqueness, by number of armies:
1xPs: 176 lists
2xPs: 136 lists
1xCv: 109 lists
1xLH: 104 lists
2xCv: 61 lists
The most common entries with an options:
"2x 3Bw or Ps" and "1x Cv or LH": each appearing in 20 lists.
"1x 3Bw or Ps" and "1x 7Hd or Ps": each appearing in 17 lists.
The most common general entries, by number of armies:
1xGeneral(Cv): 132 lists
1xGeneral(3Kn): 102 lists
The most common general entry with an option is "1xGeneral (Cv) or (3Kn)", in 13 lists, followed by "1x General (LCh) or (Cv)" in 12 lists.
## Hey, a 4 Leaf Clover ##
The following elements appear only in 1 entry in any army or variant:
3Bd/Cv: I/8c Dilmun, Saba, Ma'in or Qataban Army 1300-312 BC
LCh//3Bd: I/30a Greek Army 1160-901 BC
Cv//4Wb: II/72b Alamanni Army 250-506AD
3Kn/4Wb: III/2 Early Lombard Army
Cm//4Bd: III/25a Arab Conquest Army 622-638AD
Cv/4Bd: III/25a Arab Conquest Army 622-638AD
Cm//3Lb: III/54b Qaramita Armies 897-1078AD
Cm//Sp: III/54b Qaramita Armies 897-1078AD
Mtd-4Bw: IV/5b Sicilian Army 1194-1266AD
3Kn/3Pk: IV/13e Free Canton Army
Cv//3Bw: IV/18 Lithuanian or Samogitian Army
Mtd-4Cb: IV/43b Hungarian Army for Crusade of Nicopolis 1396AD
4Bd/3Kn: IV/83a Wars of the Roses Armies 1455-1485AD or Tudor Army 1486-1515AD
8Lb: IV/85a Burgundian Ordonnance Army 1471-1477AD
[Note: 4Bd/3Kn in IV/83a seems like it should be 3Kn/4Bd, as that's pretty common and exactly the same as far as I can tell. The 3Bd/Cv in I/8c also probably ought to be specified as Cv/3Bd for consistency & #39’s sake of having the mounted type first.]