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11 votes
0 answers
171 views

What is the current best algorithm to find if a simply connected region is uniquely tileable with dominoes?

I was reading both Thurston's and Fournier's papers on algorithms which detect whether or not a simply connected region is tileable using dominoes (1 by 2 rectangles) when I came across the section in ...
Fateh A.'s user avatar
  • 425
3 votes
2 answers
191 views

Guaranteed graph labyrinth solving sequence

Starting from a vertex of an unknown, finite, strongly connected directed graph, we want to 'get out' (reach the vertex of the labyrinth called 'end'). Each vertex has two exits (edge which goes from ...
user555076's user avatar
1 vote
1 answer
333 views

Generating all possible Domino tilings on a $4 \times 4$ grid

I have a task to write a program which generates all possible combinations of tiling domino on a $4 \times 4$ grid. I have found many articles about tilings, but it is for me quite difficult and I ...
Adam A's user avatar
  • 11
3 votes
1 answer
552 views

Cube nets hexomino tilings.

I am looking for an $\approx12\times12$ rectangle (small holes and small obtrusions are okay) made entirely of cube net hexominos. It is my understanding that perfect rectangles, in general, are not ...
Roberto Schneier's user avatar