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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
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
Posted in Tilings
Tagged enantiomorphic, Iterative method, mirror symmetry, quasiperiodic Tiling, Rotational symmetry
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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
Posted in Tilings
Tagged dual tesselation, enantiomorphic, mirror symmetry, quasiperiodic Tiling, Rotational symmetry
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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
Posted in Tilings
Tagged enantiomorphic, Geometry, Iterative method, mirror symmetry, quasiperiodic Tiling
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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
Posted in Tilings
Tagged enantiomorphic, Geometry, mirror symmetry, quasiperiodic Tiling, Rotational symmetry
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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
Posted in Tilings
Tagged Art, dual tesselation, enantiomorphic, Geometry, mirror symmetry, morphing, quasiperiodic Tiling
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