Enumerating 3D-Sudoku Solutions over Cubic Prefractal Objects
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概要
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We consider three-dimensional extensions of the Sudoku puzzle over prefractal objects. The prefractal objects we use are 2nd-level cubic approximations of two 3D fractals. Both objects are composed of 81 cubic pieces and they have 9 × 9-grid appearances in three orthogonal directions. On each object, our problem is to assign a digit to each of the 81 pieces so that it has a Sudoku solution pattern in each of the three 9 × 9-grid appearances. In this paper, we present an algorithm for enumerating such assignments and show the results.
著者
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Tsuiki Hideki
Graduate School of Human and Environmental Studies, Kyoto University
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Yokota Yohei
Graduate School of Human and Environmental Studies, Kyoto University