In what ways are cellulose and starch similar to each other and in what ways are they different?

Starch and cellulose are two very similar polymers. But in cellulose, each succesive glucose unit is rotated 180 degrees around the axis of the polymer backbone chain, relative to the last repeat unit. 
When bigshot scientists are talking bigshot scientist talk they say that the glucose units in starch are connected by alpha linkages, and that the glucose units in cellulose are connected by beta linkages.