this is the way my simple brain understands it. not sure exactly how many genes control the egg color, paired or not, eventually I will get it down to +/-
2 possible colors of chicken eggs- white and blue, eggshell color happens in the eggshell department of the hen. I understand, they got the original blue eggshell color from the Araucanas, they passed it to the mongrel EEs, they standardized the mongrel EEs feather colors/leg colors/combs/muffs by breeding them back to established breeds with established colors to call them Ameraucanas, then bred Ameraucanas to other chickens to call them EEs again...
2 possible tints of chicken eggs- none and brown, eggshell tint happens in the different, paint department of the hen. Quail have wicked cool paint departments, btw...
white egg plus no tint= white egg
white egg plus brown tint= brown egg
blue egg plus no tint = blue egg
blue egg plus brown tint = green egg
if your roo carries the blue eggshell, brown tint gene, he will pass the green egg genes to offspring.
if the hen was white/none in that area, the eggshell may be lighter but still a shade of green, blue eggshell with brown tint over it= green color.
if the hen was blue/none (like a true, true Araucana), you would get a bluer, but still shade of green egg, more blue.
more confused?
I wonder if EE stand for Easter Egger like the Easter Bunny and colored eggs, or Easter Island...?