ISO 216

A Series
A0	841×1189
A1	594×841
A2	420×594
A3	297×420
A4	210×297
A5	148×210
A6	105×148
A7	74×105
A8	52×74
A9	37×52
A10	26×37
B Series
B0	1000×1414
B1	707×1000
B2	500×707
B3	353×500
B4	250×353
B5	176×250
B6	125×176
B7	88×125
B8	62×88
B9	44×62
B10	31×44
C Series
C0	917×1297
C1	648×917
C2	458×648
C3	324×458
C4	229×324
C5	162×229
C6	114×162
C7	81×114
DL	110×220
C7/6	81×162

ISO 216 specifies international standard (ISO) paper sizes, used in most countries in the world today. It is the standard which defines the well-known A4 paper size.

The standard was originally adopted by DIN in Germany in 1922, although some of the formats contained therein were independently invented in France during its revolution and later forgotten.

ISO 216 defines three series of paper sizes: A, B and C. Series C is primarily used for envelopes.

Paper in the A series format has a 1:√2 aspect ratio, although this is rounded to the nearest millimetre. A0 is defined so that it has an area of 1 m², prior to the above mentioned rounding. Successive paper sizes in the series A1, A2, A3, etc., are defined by halving the preceding paper size parallel to its shorter side, again prior to rounding. The most frequently used paper size is A4, which is 210 × 297 mm².

The B series formats are geometric means between the A series format with the same number and the A series format with one higher number. For example, B1 is a geometric mean between A1 and A0. Likewise, the C series formats are geometric means between the B series format with the same number and the B series format with one higher number, e.g. C2 is the geometric mean between B2 and B1. (There is also an incompatible Japanese B series, defined on the basis of the arithmetic mean instead of the geometric mean.)

The C series formats are used mainly for envelopes. An A4 page will fit into a C4 envelope. If you fold the A4 page so that is A5 in size, it will fit in a C5 envelope and so on.

Prior to the adoption of ISO 216 worldwide, many different paper formats were used internationally. These formats did not fit into a coherent system and were defined in terms of non-metric units. The ISO 216 formats are organized around the ratio 1:√2; two sheets next to each other together have the same ratio, sideways. This simplifies copying two A4 sheets in reduced size on one, and copying an A4 sheet in magnified size on an A3 sheet or copying half an A4 sheet in magnified size on an A4 sheet. The main holdbacks in this area are the United States of America and Canada, which continue to use the Letter, Legal, and Executive system (Canada uses a P-series of sizes, which are nothing more than the US paper sizes rounded to metric dimensions).

External links:

• Details about paper about paper sizes can be found at: http://www.cl.cam.ac.uk/~mgk25/iso-paper.html