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What is the symmetry of the Penrose tiling? Simply C5 or bigger?

Any simple proof that the tiling is a complete cover of the plane?

Beamer
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    Could you provide a physical motivation for that? As it stands, I see a pure math question. – ACuriousMind Jul 23 '14 at 16:05
  • it is a quasi symmetry. It is so obvious that it covers the plane, it would only be a passing thought of one line to a tiles-mathematician. the angles of the tiles always add up to 360 and the edges are always the same length, it would not be possible to have a crack in the coverage. that should be enough to prove it covers a 360 isometric plane. – bandybabboon Jul 29 '15 at 02:19
  • It likely depends in the tiling, but usually I see D5 or D10. – Oscar Lanzi Aug 28 '22 at 21:46

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