My chickens don't poop in their food either. Or their water. I use big dog bowls for both and they don't walk or poop in them. They are very fastidious.
Dux also means commander, valedictorian; well here's Webster's definition:
dux noun
\ ˈdəks, ˈdu̇ks\
plural duces\ ˈd(y)üˌsēz , ˈdüˌkās \ also duxes\ ˈdəksə̇z , ˈdu̇k- \
Definition of dux
1 : a military commander stationed in a province of the later Roman Empire
2 British : the pupil at the...