did they came out in different types?
Yes, three types.
Three-cent silver
Longacre's original design for the reverse (type 1) was altered when the fineness of the coin was increased in 1854, to aid the public in distinguishing between them. For the type 2 and type 3, 
who designed the three-cent silver? James B. Longacre.
wiki:19329281
Three-cent silver [SEP] Design
For the type 2 and type 3, (the reverses of which are identical, the only differences between the two types are on the obverse) an olive sprig, a symbol of peace, was added over the "III", and a bundle of three arrows, a symbol of war, below it. The arrows are bound by a ribbon.