Tag Archives: enantiomorphic

Doubling the semiregular tesselation of hexagons and many triangles

There is one semiregular tessellation of six-fold rotational symmetry left over which I have not yet used to create a quasiperiodic tiling of 12-fold rotational symmetry. It has rings of triangles such that the hexagons do not touch each other, … Continue reading

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A tiling with triangles and rhombs only

We can dissect the rhomb into triangles and rhombs without using squares. This dissection destroys its mirror-symmetry but leaves the rotational symmetry around its center intact. Together with the dissection of the triangle into rhombs and triangles shown in the … Continue reading

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Twisting the tiling of dodecagons and triangles

In an earlier post (“Morphing the tiling of octagons and squares – a new twist“) I have varied the angles between the lines of the tiling and their generating grid lines. This gave us new tilings without mirror symmetry. I … Continue reading

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Another enantiomorphic tiling

In the last post “doubling the tessellation of squares and triangles” I have shown a quasiperiodic tiling with an unusual mirror symmetry. Earlier in “Morphing the tiling … a new twist” I got a tiling which is not at all … Continue reading

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Doubling the tessellation of squares and triangles

Equilateral triangles do not fit well with four-fold rotational symmetry. Yet there exists a semiregular tessellation having both. It has unusual symmetries. The centers of the rotational symmetries are at the center of the squares. It is mirror symmetric but … Continue reading

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Morphing the tiling of octagons and squares – a new twist

In an earlier post I have shown how the tiling of octagons and squares  transforms to the Ammann-Beenker tiling by using different lengths for the dual lines.  Here I am presenting another modification of the dualization method. The dual lines … Continue reading

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