The Cairo pentagonal tiling is named after the plastering pattern of some Cairo streets.[more]
Move the "morph" slider to the left to morph the Cairo tiling into a basketweaving tiling (using 1×2 tiles). Move it to the right to morph it into a tiling with squares.
Click "polycairo tetrad" to see a whole family of tetrads while you move the "morph" slider.[less]
This control only works when "polycairo tetrad" is not selected!
Click "color tiles" to color the Cairo tiles or make them transparent. If the tiles are not colored, the underlying basketweave becomes visible. You can make this basketweave invisible by setting its opacity to 0.
When you click this checkbox, a tetrad will appear, made from polycairo shapes. Watch a whole family of tetrads morph while you move the "morph" slider. The polycairo tetrad shown is the only tetrad missing from the Demonstration "Tetrads", which is a nearly complete collection of holeless tetrads.
In geometry, the Cairo pentagonal tiling is a dual semiregular tiling of the Euclidean plane. It is one of 14 known isohedral pentagon tilings.