Evaluating double and triple (?) boxes

A brief review of recent results on analytical evaluation of double-box Feynman integrals is presented. First steps towards evaluation of massless on-shell triple-box Feynman integrals within dimensional regularization are described. The leading power asymptotic behaviour of the dimensionally regularized massless on-shell master planar triple-box diagram in the Regge limit $t\mathrm{/}s\to 0$ is evaluated. The evaluation of the unexpanded master planar triple box is outlined and explicit results for coefficients at $1\mathrm{/}{\text{ep}}^j$, j=2,…,6, are presented.