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Toothpick structures on hexagonal net
From OeisWiki
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
Stage 1: _ Stage 2: \_/ / \ Stage 3: _/ \_ \_/ _/ \_ \ / Stage 4: \_/ \_/ \_/ / \_/ \ \_/ \_/ / \_/ \ / \ Stage 5: _/ \_ _/ \_/ \_ \_/ \_/ / \_/ \ \_/ \_/ _/ \_/ \_ \_/ \_/ \ / Stage 6: \_/ _/ \_ \_/ \_/ \_/ / \_/ \_/ \ / \_/ \ \_/ \_/ \_/ \_/ \_/ / \_/ \_/ \ \_/ / \ Stage 7: _/ \_ \_/ _/ _/ \_ \_ \_/ \_/ \_/ _/ \_/ \_/ \_ \ / \_/ \ / _/ \_/ \_/ \_ \_/ \_/ \_/ _/ \_/ \_/ \_ \ \_/ / _/ \_ \ / Stage 8: \_/ \_/ \_/ \_/ \_/ \_/ \_/ _/ \_ \_/ / \_/ \_/ \_/ \ \_/ \_/ \_/ \_/ / \ / \_/ \ / \ \_/ \_/ \_/ \_/ / \_/ \_/ \_/ \ \_/ \_/ \_/ \_/ / \_ \_/ _/ \ / \_/ \_/ \ / \_/ \ / \ Stage 9: _/ \_ _/ \_/ \_ _/ \_/ \_/ \_ _/ \_/ \_/ \_/ \_ \_/ _/ \_ \_/ / \_/ \_/ \_/ \ \_/ \_/ \_/ \_/ / \ / \_/ \ / \ \_/ \_/ \_/ \_/ / \_/ \_/ \_/ \ \_/ \_/ \_/ \_/ _/ \_ \_/ _/ \_ \_/ \_/ \_/ \_/ \_/ \_/ \_/ \_/ \_/ \ / Stage 10: \_/ _/ \_ _/ \_/ \_ _/ \_/ \_/ \_ \_/ \_/ \_/ \_/ \_/ / \_/ _/ \_ \_/ \ / \_/ \_/ \_/ \ \_/ \_/ \_/ \_/ / \ / \_/ \ / \ \_/ \_/ \_/ \_/ / \_/ \_/ \_/ \ \_/ \_/ \_/ \_/ \_/ \_ \_/ _/ \_/ / \_/ \_/ \_/ \_/ \ \_/ \_/ \_/ \_/ \_/ \_/ / \ Stage 11: _/ \_ \_/ _/ \_ _/ \_/ \_ _/ _/ \_/ \_/ \_ \_ \_/ \_/ \_/ \_/ \_/ _/ \_/ _/ \_ \_/ \_ \ / \_/ \_/ \_/ \ / \_/ \_/ \_/ \_/ / \ / \_/ \ / \ \_/ \_/ \_/ \_/ / \_/ \_/ \_/ \ _/ \_/ \_/ \_/ \_/ \_ \_/ \_ \_/ _/ \_/ _/ \_/ \_/ \_/ \_/ \_ \ \_/ \_/ \_/ / \_/ \_/ \_/ _/ \_ \ / Stage 12: \_/ \_/ \_/ / \_/ \ _/ \_ \_ _/ \_/ \_ _/ \_/ _/ \_/ \_/ \_ \_/ / \_/ \_/ \_/ \_/ \_/ \ \_/ \_/ _/ \_ \_/ \_/ / \_/ \_/ \_/ \_/ \_/ \ / \_/ \_/ \_/ \_/ \ / \ / \_/ \ / \ \_/ \_/ \_/ \_/ \_/ \_/ \_/ \_/ \_/ \_/ \_/ \_/ \_/ \_/ \_/ / \_/ \_ \_/ _/ \_/ \ \_/ \_/ \_/ \_/ \_/ \_/ / \_ \_/ \_/ \_/ _/ \ / \_/ \_/ \ \_/ \_/ \_/ / \_/ \ / \ Stage 13: _/ \_ _/ \_/ \_ \_/ \_/ _/ \_/ \_ _/ \_/ \_/ \_ _/ \_/ _/ \_/ \_ \_/ \_ \_/ \_/ \_/ \_/ \_/ \_/ / \_/ \_/ \_/ \_/ \_/ \ \_/ \_/ _/ \_ \_/ \_/ _/ \_/ \_/ \_/ \_/ \_/ \_ \_/ \_/ \_/ \_/ \_/ \_/ \ / \ / \_/ \ / \ / _/ \_/ \_/ \_/ \_/ \_ _/ \_/ \_/ \_/ \_/ \_/ \_ \_/ \_/ \_/ \_/ \_/ \_/ / \_/ \_ \_/ _/ \_/ \ \_/ \_/ \_/ \_/ 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