Geodesic
Isometric embeddings of finite metric spaces
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2016), pp. 3-9

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It is proved that there exists a metric on the Cantor set such that any finite metric space with the diameter not exceeding 1 and the number of points not exceeding $n$ can be isometrically embedded into it. We also prove that for any $m,n \in \mathbb N$ there exists a Cantor set in $\mathbb R^m$ that isometrically contains all finite metric spaces embedded into $\mathbb R^m$, containing not more than $n$ points, and having the diameter not exceeding $1$. The latter result is proved for a wide class of metrics on $\mathbb R^m$ and in particular for the Euclidean metric. 
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     title = {Isometric embeddings of finite metric spaces},
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A. I. Oblakova. Isometric embeddings of finite metric spaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2016), pp. 3-9. http://geodesic.mathdoc.fr/item/VMUMM_2016_1_a0/