Friezes from Function Graphs

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This Demonstration shows simple friezes from function graphs. Three unit cells are shown.

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Example: For , the function plotted is

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Contributed by: Izidor Hafner (March 2016)
Open content licensed under CC BY-NC-SA


Snapshots


Details

For functions we use parts of shifted ordinary functions (to avoid accidental symmetry): , , …, , , , ….

The mirror about the axis is obtained using and , and about the half-turn by using and .

The mirror about the axis is obtained using both graphs and filled to the axis.

Reference

[1] F. A. Farris, Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, Princeton: Princeton University Press, 2015 pp. 52–53.



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