Equilateral Pentagon That Tiles The Plane
With Two Non-consecutive Complementary to 180 Angles
(Cairo Tiling)
A+C = 180

Non-consecutive angles sum = 180
Generic Cairo and its symmetric forms


- Area(90, 131.41) = 1+sqr(7)/4 = 1.661438-
- Area (98.707, 81.293) = 1.632+
>

This is named Cairo Tiling because there are ancient floors in Arabia with this geometry. The typical topology is below:

Cairo Tiling

This pentagon allows also an other topology:

Cairo Tiling

The concave forms aren't a limit for the Cairo tiling:

Concave Cairo Tiling

Separator

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