Arimaa/Setup

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There are 64,864,800 possible setups for each side, although Gold in effect only has half that many, since an east-west reflection amounts to the same setup for the one going first. Players frequently experiment with different setups, but certain guiding principles are usually followed:

  • Elephant centralisation: The elephant usually starts on the d- or e-file; less commonly, on the c- or f-file.
  • Activity: A piece typically does not start directly behind a weaker piece. A strong piece usually does not start directly behind a trap, unless one has a plan to quickly advance and replace it.
  • Balance: There should be some strength on each wing, so that each home trap has some protection and there is at least a potential threat to each away trap.
  • Rabbit protection: Since rabbits can't retreat, they should not be exposed to easy pulls.

A small minority of the possible setups meet these criteria. However, there is still plenty of scope for variation. A setup which buries strong pieces may be a form of handicap.

Elephants tend to stay near the centre until strong enemy pieces draw them to the outskirts. Unless both sides play a lone elephant opening, an early camel or horse advance could set the tone. The placement of the camel and horses is thus the essential characteristic of a setup. A symmetric setup, with the camel in the middle and a horse on each wing, is the most flexible. However, one planning a quick trap attack might begin with the camel decentralized, as non-elephant pieces don't often advance through the center during an initial attack, due to the risk of a fork. The calculus is different for Gold than for Silver; if the gold camel began decentralized, the silver horses could both start far away from it, giving Silver an early alignment advantage. Any first-move advantage Gold might have is balanced by Silver's ability to respond to Gold's setup.

Symmetric setups[edit | edit source]

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Each setup is a mirror reflection of itself, except where the elephant and camel are concerned.

The diagram shows two standard symmetric setups. Gold uses the classic 99of9, named for a player who popularized it early on. A 99of9 setup prioritizes flexibility and to some extent defense. The camel can quickly defend either home trap. Rabbits are arranged so that they won't get in the way of friendly pieces; a rabbit advanced in the middle could be a problem, whereas the opponent has less to gain by pulling an a- or h-file rabbit. Eventually, the c- and f-file rabbits might step into the middle to block the goal line.

The horses will step forward, to defend the traps from the sides. One horse or the other might soon advance to create a threat. The d1 or e1 piece might soon advance two squares, to help defend a trap or to act as a linchpin so that the camel can remain in the middle without getting pulled forward. Such a linchpin piece might itself get pulled forward; a cat would be even more vulnerable than a dog, but on the other hand a dog loss would be costlier. A similar dilemma concerns the pieces which begin directly behind the traps. A dog can't be pushed aside by an enemy dog, but if the opponent does get a strong attack, the piece behind the trap might be the first to go, which would be costlier if that piece were a dog. It is more common to place cats behind the traps, perhaps because both cats might stay there for most of the game, whereas it is unlikely that both dogs would. One with a different plan for each wing might place a dog behind one trap and a cat behind the other.

Silver uses the Fritzlein setup, in which rabbits are placed behind the traps, and cats may advance on the b- and g-files. A silver cat might quickly advance behind its horse, to defend its home trap from the side or to support an attack. If the c7 or f7 rabbit is pushed or pulled forward, this may complicate a home trap control fight for Silver, since a rabbit can never step backward. With that said, winning a fight at home may not be a priority for one inclined toward aggressive play. Silver's setup may thus be good for a player who intends to attack somewhat quickly and not worry too much about his home traps. Again, the dogs and cats might be switched.

Note that the silver elephant does not directly face its gold counterpart. Had Silver placed her elephant on e7, the gold elephant could immediately go to e6 and delay the silver elephant's advance. That would be bad for Silver, unless she had a quick way to attack and force the gold elephant to return home.

MH setups[edit | edit source]

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Silver might quickly attack in the west.

At left, Silver uses an MH (camel-horse) setup. Silver plans to advance her horse and camel in the west, to attack c3 and/or drag the gold horse toward c6.

Silver's attacking threat justifies having her elephant directly face the gold elephant. Gold might play 2g Ed2nnnn, but then Silver could play 2s ha7s mb7s cc7w hg7s and, if the gold elephant stays on d6, 3s ed7wsse. Silver loses some time with sideways steps, but Gold will lose even more time moving his elephant, which must step around its silver counterpart and go back home to defend c3. One facing an MH setup must keep his elephant near the home trap which faces the MH attack threat, at least until he can get a stronger attack of his own.

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The setup from this game.

At right, Gold has set up for a quick EMH attack in the west. To slow this down, the silver camel directly faces the gold camel. Silver could place both horses in the east, far away from the gold camel, but prefers to place one horse in the middle so that it can quickly go to either wing. Gold might move his camel east and still get a strong western attack; to avoid being pulled toward c3, the silver camel may need a supporting horse.

Another idea for Silver (illustrated here) would be to put the elephant in the west and camel and horse in the east, reasoning that Silver will be faster in an attacking race since Silver's attack is further from the elephants. Yet another idea, from this game, is to play an approximate mirror image of Gold's setup, leading to a slow maneuvering opening.

Even having placed the camel in the west, one might quickly move it east. A setup is not a hard commitment to a particular strategy; the game must be played move-by-move. If Silver places her camel directly opposite Gold's camel, Gold might immediately move his camel to the other wing. Although this would use up a turn, some players might find a camel gridlock too tedious to play through.

HH setups[edit | edit source]

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The setup from this game.

Placing his horses and elephant together in the west, Silver intends to create a fairly quick threat on that wing. A full-on EHH trap attack can sometimes work, but it might be tricky to get a silver horse safely onto b3 when the silver elephant is the only piece which can displace a gold horse from that square. Silver might initially aim to pull the western gold horse homeward and surround it. This could lead to a frame in c6 which the silver elephant might rotate out of.

Gold might move his camel west to face the silver horses. An EMH attack against c6 might seem tempting, but could leave Gold vulnerable in the east, where the silver camel would then be the strongest piece. Gold might first attack in the east; the silver camel might have trouble holding g6 with no silver horse nearby. A silver dog is placed on f7 to keep that square as secure as possible; if the silver elephant had to come east to defend, that would be the end of any EHH threat in the west, where Gold might then get a strong MH attack.

An HH setup by Gold would be extremely risky, as the silver camel could directly face both gold horses, and weak silver pieces might face the gold camel, causing it to waste its strength. In this game, a silver dog and cat were strong attackers in the east, and neither gold horse could do much in the west.

Statistics[edit | edit source]

Percentage popularity of camel and horse distributions for Gold
Silver responses to a symmetric gold setup
Average number of forward rabbits

These statistics are based on games between two humans each rated over 1800. Setups where one wing has no horse or camel are rare and excluded here. Note that in this classification, 'old-style' EHH setups (e.g. with b- and d-file horses) are counted as central horse setups.