More Fun with L-Trominoes in Three and Higher Dimensions

摘要

In a recent article for this Magazine [3], it was shown that if any single cell is removed from a K_1 ×· · ·×K_N N-dimensional chess board, for N ≥ 3, where K_1 · · ·K_N ≡ 1 (mod 3) and at least three of the K_i > 1, then the remaining board can always be tiled using solid L-trominoes of the appropriate dimension. In this article we show that the same is true when two cells are removed from such chess boards, as long as K_1 · · ·K_N ≡ 2 (mod 3).