Three-Color Tessellation: A Modification of the Tiling of the Plane with Regular Hexagons

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Three-Color Tessellation:  A Modification of the Tiling of the Plane with Regular Hexagons

In each case, modifications along hexagon-edges were made using equilateral triangles. Every segment in this tessellation has equal length, also, which required trisection of the original hexagons’ sides.

Pentagonal Mandala III

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Pentagonal Mandala III

I suspect that this could be continued outward indefinitely, as a radial and aperiodic tessellation, using only the four polygons you see, repeatedly, here. However, I have no proof of this.