In May of 1890 it appears SF Hess began inserting puzzle cards in packs 
of Diadem cigarettes; the brand discontinuing when ATC purchased the
 rice paper cigarette brands and equipment from SF Hess in July of 1890.
 
The card front explains the premise including "The Puzzle consists of 
matching together twelve (12) of these cards so that one perfect Design, 
or Bond is formed".
 
SF Hess issued these cards in "1", "5", "10", "50", and "100" dollar denominations
for which cash would be awarded at the stated amount upon completion.
Surely there was a chase puzzle card like nearly all of these early redemption
offers, making completion difficult. All told,  there would be 60 different cards
 to complete all five puzzles.
 
The twelve piece puzzle when properly arranged form 4 rows x 3 columns. 
All twelve pieces, front and back, provide evidence as to what denomination 
is represented. Each puzzle is similarin content with uniqueness found in 
colors utilized and of course the stated denomination.