  We present a lower bound for a fragmentation norm and construct a
bi-Lipschitz embedding $I\colon \mathbb{R}^n\to\mathrm{Ham}(M)$ with respect to
the fragmentation norm on the group $\mathrm{Ham}(M)$ of Hamiltonian
diffeomorphisms of a symplectic manifold $(M,\omega)$. As an application, we
provide an answer to Brandenbursky's question on fragmentation norms on
$\mathrm{Ham}(\Sigma_g)$, where $\Sigma_g$ is a closed Riemannian surface of
genus $g\geq 2$
