In this paper, we consider tilings by trominoes and the parity of the number of tilings. We mostly consider reptilings and tilings of related shapes by the L tromino.

Nov 30, 2023 · Recursion Algorithm: Types of domino and tromino. When no spaces. T1: Vertical domino. T2: Horizaontal domino. T3: 2 different types of Tromino. When there is a space. T4: …

You are given a problem related to tiling a 2 x n board with two types of shapes: a 2 x 1 domino and an L shaped tromino. The shapes can be rotated as needed to fit into the tiling of the …

Feb 21, 2020 · In this paper we study tilings of regions in the square lattice with L-shaped trominoes (a polyomino of three cells) called an L-T romino or simply tromino in this w ork. A …

Oct 12, 2017 · Deciding the existence of a tiling with L-trominoes for an arbitrary region in general is NP-complete, nonetheless, we identify restrictions to the problem where it either remains NP …

In this work we study tilings of regions in the square lattice with L-shaped trominoes (a polyomino of three cells) called an L-Tromino or simply tromino in this work. A cell in Z2 is a subset [a; …

In this paper we consider tilings of ! 2"n and ! 3"n rectangles using trominoes of which there are two basic shapes, namely a ! 1"3 rectangle and an L-shaped figure. We will count how many …

Any such 2×2 board can be tiled using one tromino as shown below. In our illustrations, gray squares represent the untiled board, a white square indicates the missing square, and …

What is or what should be complexity of (divide and conquer) trominoes algorithm and why? I've been given a 2^k * 2^k sized board, and one of the tiles is randomly removed making it a …

In this paper, we focus on the problem of packing T-tetrominoes (Fig.3) into a two-dimensional square box. The L-toromino is the simplest piece among the pieces shown in Fig.2. However, …