New answers tagged isometry
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Can the Impossible Cube be isometrically embedded as geodesics in Nil geometry, just as the Penrose triangle is a geodesic triangle?
Disclaimer: the question explicitly asks about Nil geometry, but we can definitively achieve this embedding by constructing our own metric in $\mathbb{R}^3$.
Take the 1-skeleton of a cube in $\mathbb{...
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