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The post's video shows a carpenter demonstrating how a rectangular wooden frame wobbles under pressure until a diagonal brace creates a triangle, instantly making it rigid and stable. Triangles provide this rigidity because they are the only polygon whose shape is fixed by its three side lengths, preventing angle changes without stretching or compressing sides, a core concept in Euclidean geometry. In structural engineering, this principle underpins trusses in buildings and bridges, with researc