3 problems
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Uniqueness conjecture for bi-infinite fully leafed caterpillars in Penrose P2-graphs
Uniqueness conjecture. This bi-infinite caterpillar is the unique bi-infinite fully leafed caterpillar of -graphs.
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Extendability conjecture for sea grafting (g) in Penrose P2 tilings
Consider the sea grafting (g) shown in Figure of the paper. A bi-infinite fully leafed caterpillar is a fully leafed caterpillar that extends infinitely in both directions. Extenda…
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Uniqueness conjecture for the Porrier–Blondin Massé–Goupil caterpillar
Let a Penrose P2 tiling be a tiling by kites and darts, and consider its fully leafed induced subcaterpillars, meaning fully leafed induced subtrees whose underlying tree is a cate…