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A penticube is a three-dimensional geometric shape formed by connecting five unit cubes along their faces. It is one of the higher-dimensional analogs of a cube and belongs to a category of shapes known as polycubes. Penticubes can be arranged in various configurations, leading to different structures, and they are often studied in combinatorial geometry and recreational mathematics. There are a total of 29 distinct penticube shapes when considering rotations and reflections.
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