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Tag Archives: enantiomorphic
Doubling the semiregular tesselation of hexagons and many triangles
There is one semiregular tessellation of sixfold rotational symmetry left over which I have not yet used to create a quasiperiodic tiling of 12fold 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 mirrorsymmetry 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 fourfold 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 AmmannBeenker 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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