Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Find an instance of n-dimensional vectors that produce a specified distance matrix
ResourceFunction["FindDistanceInstance"][mat,n] finds an instance of n-dimensional vectors that will generate the specified distance matrix mat. |
Find a set of three 2D points that are equidistant:
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Verify that the points produce the specified distance matrix:
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Find a set of four 3D points that are equidistant:
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Verify that the points are equidistant:
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The points form a regular tetrahedron in 3D:
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A 4D Hilbert matrix with its diagonal zeroed cannot be a distance matrix because it fails to satisfy some triangle inequalities:
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Use a larger tolerance to get a result anyway:
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Find a set of three 2D points whose distances form a HilbertMatrix:
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Find a set of three 2D points whose distances form a Toeplitz matrix:
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