Consider the problem of tiling a surface (completely and exactly covering it) with n dominoes (2 ×1 rectangles). The surface is an arbitrary edge-connected (i.e., adjacent along an edge, not just a corner) collection of 2 n 1 ×1 squares (e.g., a checkerboard, a checkerboard with some squares missing, a 10 ×1 row of squares, etc.). a. Formulate this problem precisely as a CSP where the dominoes are the variables. b. Formulate this problem precisely as a CSP where the squares are the variables, ke
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MathxMatrix on Instagram: "It’s a combinatorial tiling problem where: • A large square is subdivided into smaller squares. • Each smaller square has a different side length, no repeats. • The goal is to fill the large square perfectly, with no gaps or overlaps. This is called a perfect squared square, and it’s a rare and elegant configuration. Unlike squaring the square, perfect cubed cubes is a much rarer, complex analog and harder to construct. via: #polymathematics on YT #mathxmatrix #numbers
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