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It's one of questions for my exam, and I couldn't find anything about inversion related with architecture on the internet. Thanks for help!

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Hard to say without knowing the material covered in the course. However, it could be referring to Robert Hooke:

As hangs a flexible cable so, inverted, stands a rigid arch.

Which describes a way to find the funicular form for an arch by inverting the shape of a hanging cable under the same loading. In other words, experimental form finding!

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