  Here we will embark on a journey starting with some ostensibly inauspicious
boxes. Carefully stacking them in different ways yields amazing identities.
From humble beginnings at the integer version: `how many steps does it take to
get from row $i$ to row $j$?' to the first upgrade: the polynomial version,
before finally reaching the final upgrade: the elliptic version. Each upgrade
gives a more general theorem than before. Secretly, everything is controlled by
the symmetric Macdonald polynomials. Setting $q = t$ in the Macdonald
polynomial takes the elliptic version of the theorem to the polynomial version.
Then, letting $t$ approach $1$ reduces the polynomial version to the integer
version. All the beautiful theorems and ideas come merely from stacking boxes.
