![]() ![]() In addition, symmetry principles are characterized by a quietude, a stillness that is somehow beyond the bustling world yet, in one way or another, they are almost always involved with transformation, disturbance, or movement.”2 But in itself symmetry is unlimited there is nowhere that its principles do not penetrate. Symmetry precepts are always involved with categorization, with classification and observed regularities in short, with limits. ![]() It creates three-corner 120-degree joints, which provide the triangle’s strength and structural excellence to the package.”1ĭavid Wade tells us, “Any notion of symmetry is completely entangled with that of asymmetry we can scarcely conceive of the former without invoking thoughts of the latter. “Hexagonal tessellation extends the circle’s principle of equality in all directions in a balanced sharing of space, materials, time, and energy. When the circles are converted to hexagons, no gaps are left at all. When circles fill space in a hexagonal pattern, they leave curved triangular gaps between them. Larger curved diamond shaped gaps remain. Curved triangular gaps remain.Ĭircular packing in a square pattern. We will start with one important quality of the hexagon – that of hexagonal packing.Ĭircles, spheres & cylinders fill space more efficiently in a hexagonal pattern than a square pattern.Ĭircular packing in a hexagonal pattern. We will expand from just the hexagon to cover 2D and 3D tessellations and geometric tiling. We will now discuss one important aspect of the hexagon – that of tessellations. ![]()
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