1/8 inch graph paper, printable A4

What this sheet is

The finest squared ruling drawn here: an eighth of an inch, which is 3.175 mm, on A4. The writing area takes 59 columns and 87 rows at that pitch — 5,133 squares, drawn with 148 ruled lines, on a sheet of 210 by 297 millimetres.

At that density the ruling stops reading as a set of lines and starts reading as a tone. From arm’s length the sheet looks tinted rather than ruled, and only close up do the squares resolve. That is not a fault, it is what an eighth-inch grid is, and it is why the ink and the heavier fifth line earn their keep on this sheet more than on any other.

The ruling is centred in the writing area. The fraction of a square left over at 3.175 mm is small, and it is still split between the two margins, because a border thicker on one side than the other is visible at any pitch.

Five thousand squares

5,133 squares is the highest count of any sheet on the site, and the count is the reason to choose this ruling. A fine pitch buys resolution: a curve can turn without the grid rounding it off, a plan can carry small detail without a separate inset, and a long run of points fits on one sheet instead of two.

What it costs is navigation. There is no useful way to count 59 columns across by eye, so here the heavier line every fifth is closer to a necessity than a decoration, and a lighter ink keeps the ruling behind the work rather than competing with it.

Printing it at true size

Fine rulings are the ones that get away with being scaled. A print dialogue set to Fit to page reduces an A4 sheet onto US Letter to 94.1 per cent, and at this pitch a square then measures 2.987 mm. The loss per square is far smaller in absolute terms than the same percentage costs a coarse grid, and on one square it is invisible.

It does not stay invisible, because it accumulates. The shortfall is repeated across 59 columns and 87 rows, so a measurement taken across the sheet is out by the whole of it rather than by one square’s worth. Set 100 per cent, or Actual size, and check the bar in the foot margin, which is printed in inches on this sheet and labelled with its length.

What else the bench will set

Ink first, on this ruling: grey, blue or black, and at 5,133 squares that is not a cosmetic choice. Then the heavier line every fifth, which turns an undifferentiated field into something you can find a position in. Both are switches on the page, and both redraw immediately.

Beyond that, the spacing moves to any of the other inch or metric pitches, the stock to A5, A3, US Letter or Legal, and the sheet to landscape. A red margin rule, name and date lines and the measuring bar are optional. Output is a PDF, a PNG or an SVG, drawn in the browser on this page and uploaded nowhere.