V. Nitica

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20162019

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math.CO2017

The tilings of deficient squares by ribbon L-tetrominoes are diagonally cracked

Viorel Nitica

We consider tilings of deficient rectangles by the set $T_{4}$ of ribbon $L$ -tetrominoes. A tiling exists iff the rectangle is a square of odd side. The missing cell is on…

math.CO2016

Signed tilings by ribbon L n-ominoes, n even, via Groebner bases

Kenneth Gill, Viorel Nitica

Let $T_{n}$ be the set of ribbon $L$ -shaped $n$ -ominoes for some $n \geq 4$ even, and let $T_{n}^{+}$ be $T_{n}$ with an extra $2 \times 2$ square. We investigat…