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The template for the IH14 system is any hexagon formed by mounting on opposite sides of a rectangle identical isosceles triangles as mirror images of one another. The two possible ways this can be done are shown below, with the rectangle shown with dotted lines. Only four of the six sides of the hexagon can be shaped, as indicated by the half-arrows. The template and any tile shape formed from it have an axis of reflection symmetry as indicated by the dog pattern.
A single template forms a translation cluster
A section of the tiling formed by the first template is shown below, with a translation cluster outlined. The two basic translations are indicated by the vectors drawn from the highlighted cluster. The tiling has one axis of glide and one of mirror reflection symmetry, as indicated. The tiling symmetry group is cm.
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