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Dots per inch

As explained in How Computers Make Books

Dots per inch is a unit that expresses the number of image dots along one inch of length.

Dots per inch (dpi) measures how many image dots fit along one inch. It gives a physical way to talk about resolution: pack dots farther apart and their individual marks can become visible; pack them tightly enough and the eye sees a smooth image instead. section 1.2

Dpi is measured in one direction, but a printed area has dots in two directions. A 1,200 dpi printer places 1,200 × 1,200 = 1,440,000 dots in one square inch. On a US Letter page, that works out to 1,200 × 1,200 × 8.5 × 11 = 134,640,000 black-or-white dots. section 1.2

Why the same image can need different dpi

A printer may use 600 or 1,200 dpi, while a computer or tablet screen may use 100 to 300 dpi and show shades of gray or color. What counts as enough resolution also depends on viewing distance: a page seen at 12 inches may need 600 dpi, while a distant billboard may need only 20 or 50 dpi. section 1.2 section 1.3

Figure 1.3 Three different resolutions

Compare the same capital A at 60, 30, and 15 dpi to see how reducing dot density makes its edges increasingly blocky. section 1.2

More dpi is not the only route to a smoother-looking mark. Screens can use gray or colored pixels, and anti-aliasing uses shades of gray to make edges appear smoother at resolutions that would otherwise look rough. section 1.2 section 1.3

How How Computers Make Books covers it

How deep it goes
Defines dpi, calculates dots per square inch and page, and relates needed resolution to viewing distance and anti-aliasing.
Examples
Compares a capital A at 60, 30, and 15 dpi; printers, screens, a Letter page, and billboards.
What it assumes
Teaches dpi from visible ink dots and simple multiplication without assuming prior publishing or technical knowledge.
What you can do after
Evaluate/understand whether a dot density is likely to look smooth for a device, print, or viewing distance.
How it connects
Connects dpi with resolution, pixels, anti-aliasing, grayscale, printing, screens, and human vision.

Related concepts

This explainer was generated by Manning's knowledge graph from the text of How Computers Make Books. The section links point to the parts of the book it draws on.