Equilateral Pentagon That Tiles The Plane
With Two Non-consecutive Complementary to 180 Angles
A+C = 180 & E = 90

Non-consecutive angles sum = 180


This is an asymmetrical Cairo pentagon that tiles the plane without fliping, with period of 6 elements:

No flip 6-elements tiling


Method of calculation:

No flip 6-elements tiling - Method

Since I found this pentagon, I think that an unknown pentagon that tiles the plane in an unknown way could still exist.


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