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Tagged with planar-graphs tiling
2 questions with no upvoted or accepted answers
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Chromatic number of rectangle tilings
Suppose we have a region of the plane tiled by finitely many
rectangles. We want to color the rectangles so that two
rectangles have different colors if they share a part of an
edge or if they share ...
2
votes
0
answers
182
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Graphs determined by monohedral, edge-to-edge tilings of the plane
Let $\cal T$ be a monohedral, edge-to-edge tiling of the plane, with prototile $T$ a simple polygon, and with one edge $e^*$ of $T$ distinguished. Associate a graph $G=G_{\cal T}$ with $\cal T$ as ...