「圍棋」的英文叫go,因此Palago翻譯成「六角圍棋」是挺貼切的。
官方手冊(英文)在這裏下載,不過下面有人留言,說這個手冊有點過時了,最新規則在這裏。
下面是我的Palago官方規則原創翻譯:
Palago
六角圍棋
Cameron Browne (2008)
卡美隆•布朗尼(2008年創作)
Palago is a tile placement game in which players strive to form creatures of their colour.
六角圍棋是一種玩家們設法組成己方顏色生態圈的鋪板遊戲。
Rules
規則介紹
Tiles: Two players, White and Blue, share a common pool of 48 hexagonal Palago tiles. Each tile contains a straight and a circular tip of each colour, and may be oriented in three ways such that edge colours always match.
棋子:兩位玩家,白方和藍方,共用48個六邊形棋子。每個棋子都包含兩種顏色的直線形和圓形尖角,並且能擺成三種方向,使棋子之間的邊緣顏色始終能夠匹配。
Start: White places two adjacent tiles in the playing area, such that edge colours match.
開局:白方放置兩枚相靠棋子至場上,棋子邊緣的顏色要匹配。
Play: Players then take turns adding two adjacent tiles, such that at least one touches an existing tile and all edge colours match. Both tiles must be played unless the first tile wins the game.
落子:之後玩家們輪流落子,每次落下兩枚相靠棋子,且所落下的棋子必須與場上至少一枚已有棋子相靠,並保證所有棋子邊緣顏色匹配。兩枚棋子都必須使用,除非只用一枚棋子就可獲勝。
Figure 2 shows a typical opening by White (left) and reply by Blue (right). This is probably the best opening pair for White, as discussed in the section on Opening Theory below.
圖二展示了一個白方常規開局(左)以及藍方的應對(右)。這可能是對白方而言最好的開局,我們會在後面的「開局研究」展開討論。
Aim: The game is won by the player to form a creature (closed group) of their colour with at least one straight. Only one tile need be played if that tile wins the game for either player.
勝負:當有一位玩家形成了一個生態圈(封閉環),並且環內至少存在一個直線形,則他將獲得勝利。對於任何一方而言,如果正好能贏的話,只需要落下一枚棋子。
For example, Figure 3 shows a game won by Blue who has completed a blue creature with one straight. The closed white eye does not count as it doesn't have any straights.
例如,圖3顯示了藍方獲勝,他形成了一個包含一直線形的生態圈。封閉的白色圓眼不算獲勝,因為它不包含任何直線形。
If a move simultaneously completes winning creatures for both players then the mover loses. If the tiles run out before either player wins then the game is a draw.
如果某次落子同時造成了雙方都形成生態圈,則落子方輸掉這場遊戲。如果棋子全部用完也沒有人獲得勝利,那麼就是平局。
Notes
備注
Tiebreaker: Players may optionally use the following rule to decide drawn games: If the tiles run out before either player wins, then the game is won by the player with the largest incomplete creature (counting straights) else the game is a draw if this count is equal.
一決勝負:玩家可以考慮使用以下規則來分出平局情況的勝負:如果棋子已經用完卻沒有任何一位玩家獲勝,則本局由擁有最大的未完成的生態圈(數直線形)的玩家獲勝,如果這個數量仍然相等,則遊戲仍為平局。
Holes
孔洞
Single holes enclosed on all six sides, as shown in Figure 4, represent a special case. A player cannot place the first tile of their move in such a hole (unless that tile immediately wins the game) as it would then be impossible to place the second tile of the move adjacent to it.
如圖4所示,六面包圍的孔洞是為一種特殊情況。玩家不能將他們落子的第一枚棋子放在這樣的洞中(除非這枚棋子能直接獲勝),因為這樣就不可能落下與其相鄰的第二枚棋子。
Figure 5 (left) shows a situation in which either player may fill a hole by closing their group; however, they would lose by doing so as such a move would also close an opponent's group (right). Such unplayable positions of mutual disadvantage are called seki in Go.
圖5(左)顯示了任一玩家都可以落子填補一個孔洞從而形成封閉環的情況。然而,他們如果這樣做將會輸掉,因為這樣落子同時也形成了對方的封閉環(右)。這種對雙方都不利的禁入點,在圍棋中稱作「雙活」。
However, White can quickly turn the position to their advantage by playing the two tiles shown in Figure 6 (left). This move closes the group except for the freedoms within the hole, which White can close on their next move to win (right).
然而,白方通過落下圖6所示的兩枚棋子,可以快速扭轉局面。這次落子封閉了環,只餘下可以自由落入的孔洞,下一回合白方將贏得勝利。
It's theoretically possible for Blue to achieve a similar win from the position shown in Figure 5 (left). However, this is unlikely as it would require at least nine tiles to close the surrounding Blue group and White is only three tiles away from a win.
理論上,藍方可以從圖5(左)所示的位置獲得類似的勝利。然而,這不太可能,因為它需要至少九枚棋子來封閉外圍的藍色環,而白方距離勝利只有三枚棋子。
This example shows how a group adjoining a single hole may be closed if the rest of the group is closed first. However, any group adjoining two or more separate holes is safe from closure; holes may therefore be used strategically as attacking moves (one hole) or to ensure group safety (two holes).
這個例子展示了如何封閉一個帶有孔洞的環,可先將它的外圍封閉。然而,一個環若包含兩個甚至更多分開的孔洞時,它將無法封閉。因此,孔洞可以用於取勝(單孔),也可以用来阻止對方獲勝(雙孔)。
Strategy & Tactics
技巧總結
Players should look for moves that simultaneously achieve two disjoint threats, which constitutes a guaranteed win unless both threats can be nullifed by an adjacent tile pair.
玩家們都應該去考慮同時構造出兩個分開且都即將取勝的棋型,這樣你就可以穩操勝券,除非對方能用一次落子消除這兩個獲勝棋型。
The requirement that tile pairs be placed adjacent to each other makes it harder to spoil double threats set up by the opponent. This means that games are more likely to end in a kill rather than players being able to continually defend until the tiles run out.
由於落子時要求二枚棋子成對相靠,致使難以同時破壞對方的兩個獲勝棋型。這意味著本棋更大概率是以殺棋結束,而不會是雙方都能永遠有效防禦直至棋子用完。
Tip Threats: Figure 7 (left) shows that three tips in a row are a guaranteed win if left undefended, as their owner can form two disjoint threats next turn (right). This is true for both players in this example.
三角必殺:圖7(左)顯示,如果不防禦的話,連續三個圓形尖角是一個必殺棋型,因為擁有該棋型的一方可以在下一輪形成兩個不干涉的取勝棋型(右)。本例對於雙方都適用。
In fact, even two tips in a row pose a similarly fatal if more subtle threat. Figure 8 shows how such a pair can be exploited by the next player to set up a win.
事實上,即使是連續的兩個尖角也同樣可以形成殺棋,只是方法更為巧妙。圖8顯示了棋手下一步如何利用這樣的一對尖角來達成勝利。
Note, however, that such positions should always be considered in the context of the surrounding pieces and never in isolation. For example, Figure 9 shows that Blue can end up fighting for their life if they blindly try the same trick in a different context!
但是請注意,這些必殺棋型始終應考慮到周圍的其它棋子,而不能孤立的考慮。舉個例子,圖9顯示,藍方如果盲目的在不同的場景上演相同的把戲,最終他們會戰死沙場!
Danger Patterns: Figure 10 shows a danger pattern called the triskelion; White can force a win if it's their turn to play by creating two disjoint threats as shown. Although White will never be presented with this exact pattern – there will always be four tiles placed after the second move – the principle holds for a number of similar patterns: look for disjoint groups, three or less moves from completion, that can both be reached with a single tile pair.
必殺棋型:圖10展示了一種稱為「三腳螺旋」的必殺棋型。如果輪到白方,他可以通過製造兩個不相交的取勝棋型必殺,如圖所示。儘管白方永遠不會精確的擺出這種棋型——在第二回合之後場上總會放置四枚棋子——這個原理適用於許多類似的棋型:「尋找不相交的環,經過三個回合甚至更少回合,這些環就都可以用一對棋子實現封閉。」
Figure 11 shows a more subtle danger pattern; White has already lost this game even with next move. This can be proven using similar techniques to those used in the solution of Puzzle B below.
圖11展示了一個更為微妙的必殺棋型;即使下一回合輪到白方,白棋也已經輸掉了這局。這可以用類似「殘局B的解題方法」中使用的技巧來證明。
Figure 12 shows two Blue tips joined to make a 2/3 circle or "open mouth" formation (left). It would be prudent of White to negate this formation by closing the circle as shown (middle), otherwise Blue may make an immediate threat next turn (right) or use it as a dead end into which a nearby group may be extended to close off two freedoms at once.
圖12顯示了兩個藍色尖角連接在一起形成2/3圓形或說是「張嘴」形(左)。白方謹慎的做法是通過封閉圓圈來解除它(中),否則藍方可能會在下一回合(右)立即製造殺棋,或者將其用作附近環延伸的終點。
Immediate Threats: Figure 13 shows two basic types of immediate threat that the opponent must answer next turn. These are called one-freedom and two-freedom threats based on the number of tips required to close the group.
立即成殺:圖13展示了對於兩種基本成殺棋型和對方下回合必須的應對。根據封閉環所需的尖角數量,這些被稱為一子成殺和二子成殺。
The two-freedom threat (left) is less dangerous as it has four safe extensions that counter it with a single tile. The one-freedom threat, on the other hand, is more dangerous as it has only two feasible extensions (right), neither of which counter the threat but simply reduce it to a two-freedom threat that requires a second adjacent tile to fully address.
二子成殺(左)的危險性較小,因為它有四種安全延伸方向,只需要一枚棋子就可應對。不過,一子成殺(右)就危險很多,因為一枚棋子對它只有兩種可行延伸方向,並且還都沒有解除危險,只是降為了一個二子成殺棋型,這樣就需要另一枚相鄰棋子才能完全解除危險。
Opening Theory
開局研究
Figure 14 shows the six unique opening pairs, not counting reflections and rotations.
圖14展示了六種不同的開局,排除鏡像及旋轉的情況。
White should only ever open with formation f for the reasons given below. Blue should only ever open with its inverse c.
由於下面列舉的原因,白方只能用f開局。藍方只能用相反的c開局。
White is assumed to start the game in the following examples, for consistency.
為使全文保持一致,在以下示例中都是白方作為先手開局。
Opening a
開局a
Opening a is a provable loss for White, as shown in Figure 15. If Blue replies with a rotation of a as shown then White is forced to close the open mouth, allowing Blue to set up a winning fork next turn (right).
如圖15所示,開局a對白方而言已經證明是必敗的。如果藍方用一種旋轉後的a棋型應對,如圖所示,白方就必須封住開口,藍方就可藉此在下回合製造殺棋(右)。
Opening b
開局b
Similarly, opening b is a provable loss for White if Blue replies as shown in Figure 16. This creates an immediate threat which White must address by playing at points p, q or both (shown). Blue can then set up a winning fork next turn (right).
同理,開局b也被證明是必敗開局,只要藍方如圖16應對。這直接製造了一個殺棋,白方必須延展至p點,q點或者同時兩點(如圖)。藍方就可藉此在下回合製造殺棋(右)。
Openings c and d
開局c和d
Openings c and d combine to make a probable loss for White; if White starts with c then Blue can play d to set up a win, and vice versa (Figure 17). This start looks more promising for White as they are not immediately threatened and can in fact set up a two-freedom threat of their own, as shown. However, Blue has a killer reply that negates the danger and sets up an even stronger one-freedom threat (right). White cannot address this threat without leaving a double tip for Blue to set up a win.
開局c和d結合起來,白方基本要輸。 如果白方以c開頭,那麼藍方可以下d來贏得勝利,反之亦然(圖 17)。對於白方而言,這個開局看起來挺有希望,因為他不僅沒有受到直接進攻,還可以實際建立自己的「二子成殺」,如圖所示。然而,藍方有一個殺手鐧,他不僅消除了白方的殺招,還建立了一個更強的一子成殺(右)。白方即便解除了這個殺棋,也已經給藍方留下了「二角必殺」的必殺棋型。
If White makes their second move more defensive (Figure 18) then Blue may create two immediate threats as shown. White may address both of these next turn but cannot stop Blue from then setting up a winning fork (right).
即使白方從他的第二回合開始防禦(圖18),藍方仍然可以製造殺棋,如圖所示。白方雖然可以在下一輪解決這個殺棋,但再不能阻止藍方從那時起建立一個必殺棋型(右)。
White may follow other lines of play on their second move, but none have yet been found that allow survival.
白方在第二回合可能走其它的分支,但沒有一個可以存活。
Opening e
開局e
Opening e, shown in Figure 19, allows Blue to immediately create a strong single-freedom threat (middle) to which White has only one viable reply (right).
開局e,如圖19所示,允許藍方直接創建一個強「一子成殺」棋型(中), 白方只有一種可見的應對(右)。
This sets up an overwhelmingly strong position for Blue with numerous winning attacks, one of which is shown in Figure 20:
這為藍方建立了壓倒性的優勢,他可以有多種取勝方式,其中一種如圖20所示。
Note that Blue's attack leaves double White tips in two places which is theoretically dangerous, however Blue can force a win from this position without losing the initiative. Thanks to Mike McManaway for emphasising the danger of this opening.
請注意,藍方的行動在兩個地方留下了白方的「二角必殺」,這在理論上是危險的,但是藍方可以在不失去主導的情況下從這個位置獲得勝利。感謝麥克•馬可馬拿威強調了這個開局的危險性。
Opening f
開局f
Formation f is therefore White's only viable opening pair. Blue has a number of interesting replies to this opening, but none that have proven decisive.
顯然陣型f是白方唯一可行的開局。藍方對此開局有許多有趣的應對,但沒有一種被證明是必勝的。
Annotated Sample Games
實戰點評
Game #1: Annotated sample game #1 demonstrates the balance between aggressive and defensive play and features a surprising hole sequence.
實戰一:這一局展示了攻防平衡,雙方對於孔洞的應對也十分精彩。
Puzzles
殘局
Puzzle A
殘局A
White to play two adjacent tiles and set up a win.
白方下一回合就能獲得勝利。
Solution
解法
Puzzle B
殘局B
Can Blue play two adjacent tiles to survive?
藍方可以免於輸棋嗎?
Solution
解法
Puzzle C
殘局C
Who will win the following game?
誰會贏?
Solution
解法