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Penrose Arc for edge tiling rule

Penrose Arc for edge joining rule

Ammann line for edge tiling rule

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The result seemingly the same. It could be use to join the tile to be penrose tiling. So what is the difference between these two method? I try to look for detail but only could conclude that Ammann decorated line is somehow stronger rule or something like that. Is it true and why it is?

Thaina
  • 672

1 Answers1

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They give the same tilings, but the decorations are highlighting different aspects of the global structure of the tilings (radial vs rotational structures, which are essentially orthogonal to one another).

Dan Rust
  • 30,108