Squid and glider

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The first of four short articles where I combine two shapes with mirror symmetry to form tilings.

In the first example, I chose one of Bram Cohen's polygons which I have named the squid.  This shape can tile easily (and rather boringly) on its own unless you include hexagonal formations of six squids (in grey) as shown below: 




With this in mind, the squid now behaves differently and relies on another shape which I have named the glider (in white), in order to tile the plane.  The two tiles in combination can produce an attractive periodic pattern which can continue without limits and exhibits a structure that is possibly unique.

The six squids that make up the smaller hexagons can be positioned in a clockwise or anticlockwise direction but everything else remains static:





These drawings were created using the latest stable version of Arnaud Chéritat's applet:
https://www.math.univ-toulouse.fr/~cheritat/AppletsDivers/Monotile/generic/v4.1/

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