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A simple hydra game can be defined as follows: A hydra is a finite rooted tree, which is a connected graph with no cycles and a specific node designated as the root of the tree. In a rooted tree, each node has a single parent (with the exception of the root, which has no parent) and a set of children, as opposed to an unrooted tree where there ...
Buchholz's paper in 1987 showed that the canonical correspondence between a hydra and an infinitary well-founded tree (or the corresponding term in the notation system associated to Buchholz's function, which does not necessarily belong to the ordinal notation system ), preserves fundamental sequences of choosing the rightmost leaves and the operation on an infinitary well-founded tree or the ...
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The fifteen puzzle has been computerized (as puzzle video games) and examples are available to play for free online from many Web pages. It is a descendant of the jigsaw puzzle in that its point is to form a picture on-screen. The last square of the puzzle is then displayed automatically once the other pieces have been lined up.
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Computer Gaming World in May 1994 said that it "is a game with very few flaws. The graphics are clean, and the mouse control is crisp", and praised the small size. The magazine concluded that "Oxyd Magnum is a top notch puzzle game that will keep players up to the early hours of the morning attempting to solve 'just one more level ' ". [4]