Most of the world couldn't give a XXXX about it, something that has long rankled with the marketing men […] .

galaxy filament

Blink-182 for the win!

After recourse to work of Rush and Shi mapping the anatomy of the lattice isomorphism, the upshot is a uniform proof that the cardinality statistic exhibits homomesy. A further application of these ideas shows that the statistic tracking the number of maximal elements in an order ideal is also homomesic, extending another result of Propp and Roby..