  We find a new family of exact solutions of the Confined Vortex Surface
equations (The Euler equations with extra boundary conditions coming from the
stability of the Navier-Stokes equations in the local tangent plane).
  This family of solutions has an infinite number of nested tubes of varying
diameters. The shape of the boundary cross-section is the same up to a scale.
  This Russian doll implements in physical space the scenario of the energy
cascade from an eddy to a smaller eddy. This hierarchy of vortex shells is not
wishful thinking but rather an exact solution of the Euler (CVS) equations.
  The spectrum of the size of the shells is determined from the minimization of
the effective Hamiltonian of our turbulent statistics. This effective
Hamiltonian is given by a surface dissipation integral, conserved in the \NS{}
dynamics in virtue of the \CVS{} conditions.
  The thickness of each tube goes to zero as a power of Reynolds number
$\R^{-\frac{3}{4}}$, compared to the average distance between tubes in the
turbulent flow. Thus, at finite viscosity, there will be a logarithmic number
of inner tubes nested inside the external one.
