Metric Space Distances and Radiuses Let X = {A, B, C, D} with d(A, D) = 2, but all the other distanc

Metric Space Distances and Radiuses

Let X = {A, B, C, D} with d(A, D) = 2, but all the other
distances equal to 1 Check that d is a metric Prove that the metric space X
is not isometric to any subset of En for any n Can you realise X as a subset
of a sphere S2 of appropriate radius, with the spherical ‘great circle’ metric?

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