Geodesic
Tiling a Pyramidal Polycube with Dominoes
Discrete mathematics & theoretical computer science, Tome 9 (2007) no. 2.

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The notion of pyramidal polycubes, namely the piling-up of bricks of a non-increasing size, generalizes in R^n the concept of trapezoidal polyominoes. In the present paper, we prove that n-dimensional dominoes can tile a pyramidal polycube if and only if the latter is balanced, that is, if the number of white cubes is equal to the number of black ones for a chessboard-like coloration, generalizing the result of [BC92] when n=2. 
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     author = {Bodini, Olivier and Jamet, Damien},
     title = {Tiling a {Pyramidal} {Polycube} with {Dominoes}},
     journal = {Discrete mathematics & theoretical computer science},
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     number = {2},
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     doi = {10.46298/dmtcs.413},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.413/}
}
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Bodini, Olivier; Jamet, Damien. Tiling a Pyramidal Polycube with Dominoes. Discrete mathematics & theoretical computer science, Tome 9 (2007) no. 2. doi : 10.46298/dmtcs.413. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.413/

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