The following shows both reverse dies for the 1896 one cent patterns. The first was used on copper examples listed as J1768/P1985A only. I believe it to be the first of the two dies produced. The second was used on all the other nickel, copper and aluminum alloys listed as J1767-J1769/P1982-P1985. See Pollock for more details on these alloys.
The easiest way to differentiate these dies is to look at the alignment of the word 'OF' to the dots above it. On the first, the 'O' is centered over a dot and on the other, the 'O' is between 2 dots.
Both reverse dies were used with different obverse dies. To view both obverses side by side, click here. As of now, no cross die pair combinations are known.
Photos used are courtesy of teletrade.