Statistics
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These statistics give mathematical values characterizing the game.
(A) No accumulation holes:
| Name of the Game | k(1) | k(2) | k(3) | m (+) | m | n (+) | n (-) | n |
| 55Stones | n/a | 110 | n/a | 90 | ? | ≥30 | ≤11 | 19 |
| Adji-boto | 5 | 25 | 100 | 5 | ? | ? | ? | ? |
| Afrika | 8 | 64 | 383 | 8 | 2.6 | ≥108 | ≤50 | 74 |
| Alemungula | 3 | 18 | 107 | 6 | 4.35 | ≥150 | ≤11 | 42 |
| Al-manqala | 7 | 49 | 328 | 7 | ? | ? | ? | ? |
| Azigo [Aro Chuku] | 16 | 256 | 4,409 | ? | ? | ? | ? | ? |
| Anywoli | 12 | 116 | 1,223 | 12 | ? | ≥162 | ≤73 | 109 |
| Aw-li On-nam Ot-tjin (2x9;5) | 9 | 73 | 596 | 9 | ? | ? | ? | ? |
| Bohnenspiel | 6 | 36 | 206 | 6 | ? | ≥94 | ≤17 | 40 |
| Boola | 3 | 9 | 25 | 11 | 2.5 | ? | ? | 50 |
| Canicas (1x11 (3x6=1)) | 6 | 726 | 7,986 | 121 | ? | ? | ? | ? |
| Catch 31 (2x6;5) | 6 | 36 | 206 | 6 | ? | ≥59 | ≤15 | 49 |
| Cirk (1x7;4+8) | 7 | 49 | 294 | 7 | ? | ? | ? | ? |
| Gulek (long game) | 1 | 8 | 112 | ? | ? | ? | 41 | ? |
| En Gehé (2x50;4) | 50 | 1,964 | ? | 50 | ? | ? | ? | ? |
| Giuthi (2x10;8) | 27 | 930 | ? | 10 | ? | ? | ? | ? |
| Hoyito (2x12;4) | 12 | 116 | ? | 12 | ? | ? | ? | ? |
| Kauri | 6 | 36 | 206 | 6 | ? | ≥170 | ≤13 | 40 |
| Kay | 6 | 29 | 124 | 6 | ? | ? | ? | ? |
| Kiothi | 2,613,660 | ? | ? | ? | ? | ? | ? | ? |
| Lamlameta | 12 | 98 | 925 | 12 | 4.1 | ≥168 | ≤33 | 97 |
| Manji | 7 | 106 | ? | 16 | ? | ? | ? | ? |
| Mbothe | 1 | 7 | 57 | 9 | ? | ? | ? | ? |
| Numercy (2x13;7) | 13 | 152 | ? | 13 | ? | ? | ? | ? |
| Oware | 6 | 36 | 190 | 6 | 3.5 | ≥221 | ≤12 | 60 |
| Atomic Wari (1x36;4) | 33 | 1,056 | ? | 34 | ? | ? | ? | ? |
| Bao Arabica (2-p) | 3 | 36 | 412 | 12 | ? | ≥53 | ≤23 | 40 |
| Cross-Wari (2x6;6) | 6 | 36 | 216 | 6 | ? | ? | ? | ? |
| Dogon gagara | 6 | 77 | ? | 16 | ? | ? | ? | ? |
| Glass Bead Game | 10 | 115 | 1,414 | ? | ? | ≥157 | ≤150 | 153 |
| Orancala (2-p) | 1 | 11 | 114 | 11 | ? | ? | ? | ? |
| Ouri | 6 | 36 | 180 | 6 | ? | ? | ? | ? |
| Pas de Deux | 64 | 4,096 | ? | 64 | ? | ≥173 | ≤85 | 112 |
| Rondell (partisan, expert) | 8 | n/a | n/a | 8 | ? | ? | ? | ? |
| Songo Ewondo | 7 | 49 | 309 | 7 | ? | ? | ? | ? |
| The Colony | 103 | ? | ? | ? | ? | ? | ? | ? |
| Tuca Tuca | 6 | 30 | 141 | 6 | ? | ? | ? | ? |
| Um ed-Dyar (2x12;12) | 12 | 144 | 1,717 | 12 | ? | ? | ? | ? |
| Unee Tugaluulach | 3 | 9 | 27 | 3 | ? | ? | ? | ? |
| Vai Lung Thlan | 6 | 36 | 186 | 6 | ? | ≥106 | ≤50 | 75 |
| Widdershins | 1 | n/a | n/a | 10 | ? | ? | ? | ? |
(B) With accumulation holes:
| Name of the Game | k(1) | k(2) | k(3) | m (+) | m | n (+) | n (-) | n |
| Bulto | 10 | 67 | 473 | 10 | ? | ? | ? | ? |
| Embeli | 10 | 80 | 584 | 11 | ? | ? | ? | ? |
| Imbelece | 8 | 51 | 345 | 8 | ? | ? | ? | ? |
| Kalah (2x6;6) | 10 | 60 | 325 | 1,258 | 4.75 | ≥62 | ≤15 | 49 |
| Banan-Cala | 5,460 | 29,811,600 | ? | ? | ? | ? | ? | ? |
| Cross-Kalah (2x6;6) | 10 | 100 | 792 | ? | ? | ≥72 | ≤13 | 34 |
| Da Vinci's Mancala | 240 | 75,936 | ? | ? | ? | ? | ? | ? |
| Diffusion (2x6) | 12 | 132 | ? | 12 | ? | ≥91 | ≤37 | 70 |
| Geisterfahrer | 5 | 25 | 101 | ? | ? | ? | ? | ? |
| Kariba | 109 | 11,881 | ? | ? | ? | ? | ? | ? |
| Pass It On (2-p) | 7 | 47 | 256 | ? | ? | ? | ? | ? |
| Progressive Mancala (1x11) | 11 | 879 | ? | ? | ? | ? | ? | ? |
| Pyramidis (2-p) | 5 | 25 | 165 | 8 | ? | ? | ? | ? |
| Ruma (4x6;4) | 6 | 36 | 216 | 6 | ? | ? | ? | ? |
| Space Walk (2-p) | 18 | 630 | 10,716 | 18 | ? | ? | ? | ? |
| Waurie | 10 | 116 | 1,005 | 1,258 | ? | ≥57 | 13 | 50 |
| Kánji-guti | 6 | 36 | 207 | 6 | ? | ? | ? | ? |
| Kotu-baendum | 2 | 12 | 76 | 7 | ? | ≥49 | ≤19 | 29 |
| Layli Goobalay (2x12;4) | 12 | 106 | 1,048 | 12 | ? | ? | ? | ? |
| Rath (2x13;4) | 12 | 119 | ? | 12 | ? | ? | ? | ? |
| Sadéqa [Jimma] | 10 | 84 | 735 | 10 | ? | ? | ? | ? |
| Selus [Massawa] | 9 | 71 | 544 | 9 | ? | ? | ? | ? |
| Takti | 3* | 9 | 28 | 10 | ? | ? | ? | ? |
| Toguz Kumalak | 9 | 73 | 570 | 9 | 5.0 | ≥414 | 11 | 114 |
| Toguz Poddavki | 8 | 43 | 146 | 9 | ? | ? | ? | ? |
* After the first simultaneous move.
Games With AT LEAST SOME Separate Sowing Area
| Name of the Game | k(1) | k(2) | k(3) | m (+) | m | n (+) | n (-) | n |
| Bao la Kimasai | 8 | 64 | 416 | 16 | ? | ? | ? | ? |
| Bao la Kiswahili | 4 | 14 | 34 | 25 | 4.2 | ≥239 | 5 | 55 |
| Bawo (kuu=10) | 8,610 | ? | ? | ? | ? | ? | ? | 47 |
| Katra Fandatsaka | 5 | 41 | 118 | 25 | ? | ? | ? | 75 |
| Cups (2x10) | 10 | 100 | 784 | 20 | ? | ? | ? | ? |
| Hawalis | 14 | 182 | ? | 14 | 2.5 | ≥117 | ≤26 | 64 |
| Hus (4x24) | 16 | 1,296 | ? | 48 | ? | ? | ? | ? |
| Katro (6x6) | 6 | 72 | 720 | 36 | ? | ? | ? | ? |
| Kiela (4x10; expert) | >9x10^6 | ? | ? | ? | ? | ? | ? | ? |
| Kisolo (4x7) | 7 | 49 | 370 | 13 | ? | ? | ? | ? |
| Mbelele | 36 | 1,244 | ? | 36 | ? | ? | ? | ? |
| Mefuvha | 1,874 | ? | ? | ? | ? | ? | ? | ? |
| Mwambulula | 16 | 256 | 2,625 | 32 | ? | ? | ? | ? |
| Omweso | 7.5x10^11 | 5.6x10^23 | ? | 7.5x10^11 | ? | ? | ? | ? |
| Sowing (1x24;3) | 21 | 420 | ? | 23 | ? | ? | ? | ? |
| Tchouba (4x40) | 120,160 | ? | ? | ? | ? | ? | ? | ? |
| Trias | 12 | 144 | ? | ? | ? | ? | ? | ? |
| Tsoro (4x21) | 34 | 1,156 | ? | ? | ? | ? | ? | ? |
Abbreviations
| k(1) | Board positions after the first turn |
| k(2) | Board positions after the second turn |
| k(3) | Board positions after the third turn |
| m (+) | Maximum branching factor (theoretical); in 55Stones: maximum decisions |
| m | Average branching factor (real games) |
| n (+) | Maximum game length (real game) |
| n (-) | Shortest game length (theoretical) |
| n | Average game length (real games) |
| n/a | Not applicable |
| 2-p | Two-person game |
| Partisan | Pits are owned by a player |
| Expert | Expert variant (see rules) |
| 2x10;8 | 2 rows, each one with 10 pits, 8 seeds (usually in each pit) |
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By: Ralf Gering
Under the CC by-sa 2.5 license.
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