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The geometry of similarity in the Euclidean plane or Euclidean space.

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The geometry of similarity in the Euclidean plane or Euclidean space.

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In Euclidean space, never.

But they can in non-Euclidean geometries.

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I do not believe that such a quadrangle can exist in Euclidean space.

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If they are coplanar in a Euclidean space, then yes. If they are not coplanar or not in Euclidean space, then not necessarily.

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Euclidean space

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