  We investigate isometric embeddings of finite metric trees into
$(\mathbb{R}^n,d_{1})$ and $( \mathbb{R}^n, d_{\infty})$. We prove that a
finite metric tree can be isometrically embedded into $(\mathbb{R}^n,d_{1})$ if
and only if the number of its leaves is at most $2n$. We show that a finite
star tree with at most $2^n$ leaves can be isometrically embedded into
$(\mathbb{R}^{n}, d_{\infty})$ and a finite metric tree with more than $2^n$
leaves cannot be isometrically embedded into $(\mathbb{R}^{n}, d_{\infty})$. We
conjecture that an arbitrary finite metric tree with at most $2^n$ leaves can
be isometrically embedded into $(\mathbb{R}^{n}, d_{\infty})$.
