Reshaping limit diagrams and cofinality in higher category theory

We present some results on (co)limits of diagrams in $\mathrm{\infty }$-categories, as well as those in $(n,1)$-categories. In particular, we deduce a way to reshape colimit diagrams into simplicial ones, and a characterisations of $n$-cofinality for functor between $\mathrm{\infty }$-categories. Some basics on $n$-siftedness are also briefly treated.