Seesaw and hexagon

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The second of four short write-ups on curious pairings of symmetric tiles.

We start with a regular hexagon and a non-tiler borrowed from Bob Nungester's computational heap which I named the seesaw.

In combination they can produce an attractive periodic tiling:




Hexagons will never touch one another but their orientations may differ (e.g., those highlighted in green).  I have also coloured in a few randomly selected groups of 4, 5 and 6 seesaws surrounding hexagons (in red) to give some idea of complexity:





Below is (I believe) a picture listing of all unique coronas surrounding a hexagon that may appear in a tiling.




A couple of six-fold symmetry examples:





Two and three-fold symmetry.  All these tiling examples can easily continue:






These drawings were created using the latest stable version of Arnaud Chéritat's applet:
https://www.math.univ-toulouse.fr/~cheritat/AppletsDivers/Monotile/generic/v4.2/







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