  The aim of this survey is to explain, in a self-contained and relatively
beginner-friendly manner, the lace expansion for the nearest-neighbor models of
self-avoiding walk and percolation that converges in all dimensions above 6 and
9, respectively. To achieve this, we consider a $d$-dimensional version of the
body-centered cubic (BCC) lattice, on which it is extremely easy to enumerate
various random-walk quantities. Also, we choose a particular set of
bootstrapping functions, by which a notoriously complicated part of the
lace-expansion analysis becomes rather transparent.
