# 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 Ammann-Beenker tiling of eight-fold rotational symmetry. We can do similar morphs with mapping functions using waves. The wave vectors (1,0) … Continue reading

## Hiding the Ammann-Beenker 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 Ammann-Beenker tiling I got thus especially interesting results. For the square grid with horizontal and … Continue reading

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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

## 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

## Morphing the Ammann-Beenker tiling

We can vary the dualization method in many ways. Here we play with the Ammann-Beenker 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