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 A rosette in a roman mosaic is an exponential transform of a periodic tiling
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Tag Archives: morphing
Morphing between square symmetry and eight fold rotational symmetry
A long time ago in “Crazy graph paper” I have shown a morphing between the square lattice and the quasiperiodic AmmannBeenker tiling of eightfold rotational symmetry. We can do similar morphs with mapping functions using waves. The wave vectors (1,0) … Continue reading
Hiding the AmmannBeenker tiling
I simply experimented around with changing angles of the dual lines. Then I had the idea to treat the two single grids differently. For the AmmannBeenker tiling I got thus especially interesting results. For the square grid with horizontal and … Continue reading
Posted in Tilings
Tagged Ammann–Beenker tiling, morphing, quasiperiodic Tiling, Selfsimilarity
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Morphing the tiling of octagons and squares in space
An animated morphing of quasiperiodic tilings passes perhaps too rapidly. As tilings repeat throughout space it is quite natural to show their morphing depending on the position in space or on the computer screen. This we can examine more easily. … Continue reading
Posted in Tilings
Tagged Ammann–Beenker tiling, animation, Art, Geometry, morphing, quasiperiodic Tiling
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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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Morphing the AmmannBeenker tiling
We can vary the dualization method in many ways. Here we play with the AmmannBeenker tiling and use different lengths for the lines generated by the first square grid and the second square grid. This produces squares of different sizes … Continue reading
Posted in Fractals
Tagged Ammann–Beenker tiling, animation, Art, Geometry, morphing, quasiperiodic Tiling
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