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Toothpick structures on hexagonal net

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Rules

  • Stage 0: no toothpicks.
  • Stage 1: 1 toothpick anywhere on the plane.
  • Each new toothpick must lie on the hexagonal net such that the toothpick endpoints coincide with two consecutive nodes.
  • Each exposed endpoint of the toothpicks of the old generation must be touched by the endpoints of two toothpicks of new generation.

Sructures for the first few stages

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Sequences based on this structure