A polycube is a three-dimensional geometric shape formed by joining several cubes together along their faces. These shapes can take various forms and configurations, depending on how the cubes are arranged. Polycubes can be considered a three-dimensional analog of polyominoes, which are shapes formed by connecting squares in two dimensions. Polycubes are often studied in mathematics and computer science for their properties and applications, including in fields like combinatorial geometry, topology, and even in puzzle design.
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