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Some of the more well-known topics in recreational mathematics are Rubik's Cubes, magic squares, fractals, logic puzzles and mathematical chess problems, but this area of mathematics includes the aesthetics and culture of mathematics, peculiar or amusing stories and coincidences about mathematics, and the personal lives of mathematicians.
Mathematical puzzles require mathematics to solve them. Logic puzzles are a common type of mathematical puzzle. Conway's Game of Life and fractals, as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions. After these conditions are set ...
MacMahon Squares is the name given to a recreational math puzzle suggested by British mathematician Percy MacMahon, who published a treatise on edge-colouring of a variety of shapes in 1921. [4] This particular puzzle uses 24 tiles consisting of all permutations of 3 colors for the edges of a square.
To solve the puzzle in a single move, turn up the two cups that are upside down — after which all three cups are facing up. As a magic trick , a magician can perform the solvable version in a convoluted way, and then ask an audience member to solve the unsolvable version.
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This depicts a puzzle equivalent to the puzzle of the wolf, goat, and cabbage, asking how the mother can do this without leaving the leopard cub alone with any of the other tiger cubs. [9] The same variation of the puzzle has also been recorded as a koan of Ryōan-ji, a Zen temple in Kyoto. [10]
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