Equilateral Pentagon That Tiles The Plane
With Two Non-consecutive Complementary to 180° Angles
(Cairo Tiling)
A+C = 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:
This pentagon allows also an other topology:
The concave forms aren't a limit for the Cairo tiling: