Equilateral Pentagon That Tiles The Plane
With Two Non-consecutive Complementary to 360 Angles
A+C = 360 & (B = 360/10 or A = 3B)

Non-consecutive angles sum = 360

It's interesting to notice that it could be derived from the regular pentagon. While the regular pentagon don't tile the plane, this does it in many different way, over the general way of the family.

First, it allows tiling with order 10 rotational symmetry:

Order 10 rotational symmetry tiling

The tiling can continue to infinity.

Using its property A = 3B, we can assemble the octagon below, that tiles the plane with the help of two other pieces...

A=3B tiling

... or increasing to infinity like a crystal:

A=3B tiling


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