Euclidean Construction of Rhombitrihexagonal Tiling

The rhombitrihexagonal tiling is one of the semi-regular tessellations. It is composed of regular hexagons, squares, and triangles. It is a periodic tessellation since you can copy the fundamental unit and move it across the plane to generate the tiling. I use this quality of the tiling to draw and expand it in Rhinoceros software. This is a basic drawing exercise. At the same time, it is a nice exercise for the mind and sometimes for the soul. There are only 8 such tilings that fill a 2D plane without gaps or overlaps. I made the Euclidean construction of rhombitrihexagonal tiling with an abstract compass and straightedge. So, the step-by-step process is fully deterministic and precise, though not requiring any numerical input. You can see more at #patterns #rhino #tutorials #tessellations #compassconstructions #digitaldesign #parametricdesign Software I use: Rhinoceros 3D () Music by Alex Wit from Pixabay
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