#34 - Coins on a Star

[NickWarm]

英文

The object of this puzzle is to place the largest possible number of coins at points of the eight-pointed star depicted in Figure 2.9. The coins should be placed one after another, with the following restrictions: (i) a coin needs to be placed first on an unoccupied point and then moved along a line to another unoccupied point, and (ii) once a coin has been positioned in this manner, it cannot be moved again. For example, we can start by placing the first coin on point 6 and then moving it to point 1 (denoted 6 → 1), where the coin will have to remain. We can continue, say, with the following sequenceofmoves:7 → 2,8 → 3,7 → 4,8 → 5,whichplacesfivecoins.

中文

這個謎題的目標是在如圖2.9所示的八芒星的頂點上放置盡可能多的硬幣。硬幣必須一個一個放置，並遵守以下規定：

1. 硬幣必須先放在一個未被佔用的頂點上，然後沿著線移動到另一個未被佔用的頂點。
2. 一旦硬幣以上述方式就位後，就不能再移動

例如，我們可以在點6放第一枚硬幣，然後移動到 點1 (記做 6 -> 1)，這時應必將永遠留在 點1 上。繼續放置硬幣，假如以這樣的順序放置：7 -> 2，8 -> 3， 7 -> 4，8 -> 5，則最終會有5枚硬幣被放置在八芒星上。