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- W37321877 abstract "The puzzle is a mechanical device seemingly consisting of 27 little cubes arranged in a large 3 × 3 × 3 cube. in its initial configuration each face of the large cube is coloured a different colour. Thus each little cube has 0, 1, 2 or 3 of its faces coloured. An arbitrary configuration is obtained by breaking up the large cube and reassembling it so that each little coloured face remains visible. We may also picture the large cube in three different ways as 3 layers of 9 cubes each. The device is constructed to allow face-turns only, by which is meant a 90° rotation of an outside layer with respect to the other two layers. An accessible configuration is one obtainable by a sequence of face-turns. We demonstrate (a) a method for deciding whether an arbitrary configuration is accessible or not (there are 12 orbits or classes of configurations). (b) a procedure for obtaining the initial configuration from any accessible one by face-turns. (Current best is at most 100 turns.) We generalize the above to certain cubic maps." @default.
- W37321877 created "2016-06-24" @default.
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- W37321877 date "1980-01-01" @default.
- W37321877 modified "2023-09-27" @default.
- W37321877 title "The Hungarian Magic Cube Puzzle" @default.
- W37321877 doi "https://doi.org/10.1016/s0167-5060(08)70026-8" @default.
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