Equilateral Pentagon That Tiles The Plane
With Two Non-consecutive Complementary to 360 Angles
A+C = 360

Non-consecutive angles sum = 360

Each pentagon of this family, with the range 60 < A < 180, tiles the plane at least with the topologies below:

nc360 typ tiling

See now the interesting demonstration below:

nc360 demonstration

The property 2D+B+C = 360 allows the following tiling, for all the members of the family:

Non-consecutive angles sum = 360

Separator

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