Solid Overprint and Transparent Overprint in Illustrator: How Each One Behaves
Overprint is one of those prepress switches that looks small in the Illustrator panel and turns into real money on the press. It decides what happens where two shapes overlap, and it decides whether a slight misregistration shows up as a thin white hairline or disappears into the printed colour. Getting it wrong is a quiet way to add defects that only surface after thousands of sheets have already run.

Solid overprint
When the upper shape sits on top of the lower one and you apply solid overprint, Illustrator blends the two colours instead of hiding the lower one. The blend is calculated per ink channel, and the darker value wins in each channel. For cyan, if C1 is greater than C2, the printed result takes C1. For magenta, if M1 is less than M2, the result takes M2. Yellow follows the same rule as cyan, and black follows the same rule as magenta. In practice the overlap takes the higher ink value in every channel, which is why solid overprint usually produces a denser patch than either shape alone. On a four colour job this is often the fastest way to close a light hairline between two dark elements without changing the artwork.
Transparent overprint
Transparent overprint does not simply copy ink values. It turns the colour on the upper shape into a semi transparent version of itself, so the lower shape shows through at a controlled strength. The level of transparency is set in the Transparent Overprint Options dialog. This is the tool to reach for when a light tint has to sit over a solid background, or when a drop shadow style has to survive a flattening step without a visible box around it. Unlike solid overprint, the result depends on how the software composites the two objects, so the on screen preview and the separated plates can drift apart if the transparency is not flattened in a way the press expects.
Traps and the white edge
A trap is standard prepress vocabulary. In four colour work the plates do not always land in perfect register. Press mechanics, plate stretch and the way paper takes up moisture and shrinks all push the inks a fraction of a millimetre out of position. Where two adjoining colours meet, that small shift exposes the bare paper underneath and you see a white edge. A trap closes the gap by spreading one colour slightly into its neighbour, so a small shift still lands on colour rather than paper. Illustrator's Pathfinder trap dialog offers default values that suit many jobs. When the artwork is demanding, it is worth agreeing the trap width and the adjacent colours with the printer before the numbers are locked in, because trap settings are awkward to change once the file has left the studio.
Before the file goes out
Overprint and trap settings travel inside the file, so they must be correct at export time. Switch on the overprint preview to see the true result, check the separation view for stray white hairlines, and confirm that transparency is flattened in the form the printer expects. A short check at this stage costs far less than a reprint.