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Later, the catenary and parabolic arch were introduced into construction by a Spanish architect named Antoni Gaudi. These arches were theoretically some of the strongest ever made.
The parabolic curve, or arch, was formally discovered by the ancient Greeks. The mathematical genius of this curve is that the focus to the curve and the curve to the directrix is the same length. Therefore, when one applies pressure to the curve or arch, the entire arch is able to hold the weight, and it doesn’t fail because there isn’t a single weak point on the curve. I find this detail quite extraordinary.
The most interesting thing that I came across in my research on parabolic and catenary arches is that the Gateway Arch in Saint Louis, Missouri is a sculpture based on a catenary arch...
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