Paper size

Last updated

Paper sizes A0 to A8, life-size installation "The invasion of the square roots" at the CosmoCaixa Barcelona science museum PapierformateA0bisA8.jpg
Paper sizes A0 to A8, life-size installation "The invasion of the square roots" at the CosmoCaixa Barcelona science museum
A size chart illustrating the ISO A series and a comparison with American letter and legal formats A size illustration2 with letter and legal.svg
A size chart illustrating the ISO A series and a comparison with American letter and legal formats
Comparison of some paper and photographic paper sizes close to the A4 size Comparison paper sizes.svg
Comparison of some paper and photographic paper sizes close to the A4 size

Paper size standards govern the size of sheets of paper used as writing paper, stationery, cards, and for some printed documents.

Contents

The ISO 216 standard, which includes the commonly used A4 size, is the international standard for paper size. It is used across the world except in North America and parts of Central and South America, where North American paper sizes such as "Letter" and "Legal" are used. [1] The international standard for envelopes is the C series of ISO 269.

International standard paper sizes

Map of the world showing adoption of paper sizes, according to the Common Locale Data Repository in 2017
.mw-parser-output .legend{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .legend-color{display:inline-block;min-width:1.25em;height:1.25em;line-height:1.25;margin:1px 0;text-align:center;border:1px solid black;background-color:transparent;color:black}.mw-parser-output .legend-text{}
ISO A4 exclusively
ISO A4 primarily
US-Letter primarily
US-Letter predominantly
US-Letter exclusively Prevalent default paper size.svg
Map of the world showing adoption of paper sizes, according to the Common Locale Data Repository in 2017
  ISO A4 exclusively
  ISO A4 primarily
  US-Letter primarily
  US-Letter predominantly
  US-Letter exclusively

The international paper size standard is ISO 216. It is based on the German DIN 476 standard for paper sizes. Each ISO paper size is one half of the area of the next larger size in the same series. ISO paper sizes are all based on a single aspect ratio of the square root of 2, or approximately 1:1.41421. There are different series, as well as several extensions.

The following international paper sizes are included in Cascading Style Sheets (CSS): A3, A4, A5, B4, B5. [2]

A series

A size chart illustrating the ISO A series A size illustration2.svg
A size chart illustrating the ISO A series

There are 11 sizes in the A series, designated A0–A10, all of which have an aspect ratio of , where a is the long side and b is the short side.

Since A series sizes share the same aspect ratio they can be scaled to other A series sizes without being distorted, and two sheets can be reduced to fit on exactly one sheet without any cutoff or margins.

The A0 base size is defined as having an area of 1 m2; given an aspect ratio of , the dimensions of A0 are:

by .

or, rounded to the nearest millimetre, 1,189 mm × 841 mm (46.8 in × 33.1 in).

A series sizes are related in that the smaller dimension of a given size is the larger dimension of the next smaller size, and folding an A series sheet in half in its larger dimension—that is, folding it in half parallel to its short edge—results in two halves that are each the size of the next smaller A series size. As such, a folded brochure of a given A-series size can be made by folding sheets of the next larger size in half, e.g. A4 sheets can be folded to make an A5 brochure. The fact that halving a sheet with an aspect ratio of results in two sheets that themselves both have an aspect ratio of is proven as follows:

where a is the long side and b is the short side. The aspect ratio for the new dimensions of the folded paper is:

The advantages of basing a paper size upon an aspect ratio of were noted in 1786 by the German scientist and philosopher Georg Christoph Lichtenberg. [3] He also observed that some raw sizes already adhered to that ratio so that when a sheet is folded, the length to width ratio does not change.

Briefly after the introduction of the metric system, a handful of new paper formats equivalent to modern ones were developed in France, having been proposed by the mathematician Lazare Carnot, and published for judicial purposes in 1798 during the French Revolution. [4] These were never widely adopted, however:

Early in the 20th century, the ratio was used to specify the world format starting with 1 cm as the short edge of the smallest size. Walter Porstmann started with the largest sizes instead, assigning one an area of 1 m2 (A0) and the other a short edge of 1 m (B0). He thereby turned the forgotten French sizes (relatively few in number) into a logically-simple and comprehensive plan for a full range of paper sizes, while introducing systematic alphanumeric monikers for them. Generalized to nothing less than four series, this system was introduced as a DIN standard (DIN 476) in Germany in 1922, replacing a vast variety of other paper formats. Even today, the paper sizes are called "DIN A4" (IPA: [diːn.ʔaː.fiːɐ̯] ) in everyday use in Germany and Austria.

The DIN 476 standard spread quickly to other countries. Before the outbreak of World War II, it had been adopted by the following countries in Europe:

During World War II, the standard spread to South America and was adopted by Uruguay (1942), Argentina (1943) and Brazil (1943), and afterwards spread to other countries:

By 1975, so many countries were using the German system that it was established as an ISO standard, as well as the official United Nations document format. By 1977, A4 was the standard letter format in 88 of 148 countries. Today the standard has been adopted by all countries in the world except the United States and Canada. In Mexico, Costa Rica, Colombia, Venezuela, Chile, and the Philippines, the US letter format is still in common use, despite their official adoption of the ISO standard.

The weight of an A-series sheet of a given paper weight can be calculated by knowing the ratio of its size to the A0 sheet. For example, an A4 sheet is 116 the size of an A0 sheet, so if it is made from 80-g/m2 paper, it weighs 116 of 80 g, which is 5 g.

B series

A size chart illustrating the ISO B series B size illustration2.svg
A size chart illustrating the ISO B series

The B series paper sizes are less common than the A series. They have the same aspect ratio as the A series:

However, they have a different area. The area of B series sheets is in fact the geometric mean of successive A series sheets. B1 is between A0 and A1 in size, with an area of m2, or about 0.707 m2. As a result, B0 is 1 metre wide, and other sizes of the series are a half, a quarter, or further fractions of a metre wide: in general, every B size has exactly one side of length for . That side is the short side for B0, B2, B4, etc., and the long side for B1, B3, B5, etc.

While less common in office use, the B series is used for a variety of applications in which one A-series size would be too small but the next A-series size is too large, or because they are convenient for a particular purpose.

The B-series is widely used in the printing industry to describe both paper sizes and printing press sizes, including digital presses. B3 paper is used to print two US letter or A4 pages side by side using imposition; four pages would be printed on B2, eight on B1, etc.[ need quotation to verify ]

C series

A size chart illustrating the ISO C series C size illustration2.svg
A size chart illustrating the ISO C series

The C series is defined in ISO 269, which was withdrawn in 2009 without a replacement, but is still specified in several national standards. It is primarily used for envelopes. The area of C series sheets is the geometric mean of the areas of the A and B series sheets of the same number; for instance, the area of a C4 sheet is the geometric mean of the areas of an A4 sheet and a B4 sheet. This means that C4 is slightly larger than A4, and slightly smaller than B4. The practical usage of this is that a letter written on A4 paper fits inside a C4 envelope, and both A4 paper and C4 envelope fits inside a B4 envelope.

Some envelope formats with mixed sides from adjacent sizes (and thus an approximate aspect ratio of 2:1) are also defined in national adaptations of the ISO standard, e.g. DIN C6/C5 (also known as C65) is 114 mm × 229 mm where the common side to C5 and C6 is 162 mm. This format allows an envelope holding an A-sized paper folded in three, e.g. for the C65, an A4.

Overview of ISO paper sizes

ISO paper sizes in portrait view (with rounded inch values)
Format A series [6] B series [7] C series [8]
Sizeshort × longNotional areashort × longNotional areashort × longNotional area
mminm2mminm2mminm2
0841 × 118933.1 × 46.820 = 11000 × 141439.4 × 55.72121.414917 × 129736.1 × 51.12141.189
1594 × 84123.4 × 33.11/2 = 0.5707 × 100027.8 × 39.42120.707648 × 91725.5 × 36.12340.595
2420 × 594 16.5 × 23.41/22 = 0.25500 × 70719.7 × 27.821+120.354458 × 64818.0 × 25.521+340.297
3297 × 42011.7 × 16.51/23 = 0.125353 × 50013.9 × 19.722+120.177324 × 45812.8 × 18.022+340.149
4210 × 2978.3 × 11.71/24 = 0.0625250 × 3539.8 × 13.923+120.088229 × 3249.0 × 12.823+340.0743
5148 × 2105.8 × 8.31/250.0313176 × 2506.9 × 9.824+120.044162 × 2296.4 × 9.024+340.0372
6105 × 1484.1 × 5.81/260.0156125 × 1764.9 × 6.925+120.0221114 × 1624.5 × 6.425+340.0186
774 × 1052.9 × 4.11/270.007888 × 1253.5 × 4.926+120.011081 × 1143.2 × 4.526+340.0093
852 × 742.0 × 2.91/280.003962 × 882.4 × 3.527+120.005557 × 812.2 × 3.227+340.0046
937 × 521.5 × 2.01/290.002044 × 621.7 × 2.428+120.002840 × 571.6 × 2.228+340.0023
1026 × 371.0 × 1.51/2100.0009831 × 441.2 × 1.729+120.001428 × 401.1 × 1.629+340.0012
i where
where
where

The variables are the distinct first terms in the three geometric progressions of the same common ratio equal to the square root of two. Each of the three geometric progressions (corresponding to the three series A, B, and C) is formed by all possible paper dimensions (length and width) of the series arranged in decreasing order. This interesting arrangement of dimensions is also very useful—not only does it form a geometric progression with easy-to-remember formulae, but also each consecutive pair of values (like a sliding window of size 2) will automatically correspond to the dimensions of a standard paper format in the series.

The tolerances specified in the standard are

German original

The German standard DIN 476 was published on 18 August 1922 and is the original specification of the A, B and C sizes. In 1991, it was split into DIN 476-1 for the A and B formats and 476-2 for the C series. The former has been withdrawn in 2002 in favor of adopting the international standard as DIN EN ISO 216, but part 2 has been retained and was last updated in 2008.

The first and the second editions of DIN 476 from 1922 and 1925 also included a D series.

DIN D series paper sizes in portrait view (with rounded inch values)
Format D series
Sizemm × mminch × inch
0771 × 109030+38 × 42+1112
1545 × 77121+1124 × 30+38
2385 × 54515+16 × 21+1124
3272 × 38510+1724 × 15+16
4192 × 2727+1324 × 10+1724
5136 × 1925+38 × 7+1324
696 × 1363+1924 × 5+38
768 × 962+23 × 3+1924
848 × 681+78 × 2+23

The smallest formats in the original specifications for each series were A13, B13, C8, and D8. Sizes A11 through A13 were no longer listed in the 1930 edition, nor were B11 through B13. C9 and C10 were added in the 1976 revision for compatibility with photography sizes: C8 closely matches 6×9 photos, and C9 and C10 closely match 7×7 and 5×5 slides, respectively.

DIN 476:1922 tiny formats (with rounded inch values)
FormatAB
Sizemm × mminch × inchmm × mminch × inch
1118 × 261724 × 1+12422 × 3178 × 1+524
1213 × 1812 × 172415 × 22712 × 78
139 × 1338 × 1211 × 15512 × 712

DIN 476 provides for formats larger than A0, denoted by a prefix factor. In particular, it lists the formats 2A0 and 4A0, which are twice and four times the size of A0 respectively. However, ISO 216:2007 notes 2A0 and 4A0 in the table of Main series of trimmed sizes (ISO A series) as well: "The rarely used sizes [2A0 and 4A0] which follow also belong to this series."

DIN 476 overformats (with rounded inch values)
Namemm × mminch × inch
4A01682 × 237866+524 × 93+58
2A01189 × 168246+1924 × 66+524

DIN 476 also used to specify slightly tighter tolerances than ISO 216:

  • ±1 mm (0.04 in) for dimensions up to 150 mm (5.9 in),
  • ±1.5 mm (0.06 in) for lengths in the range 150 mm to 600 mm (5.9 to 23.6 in) and
  • ±2 mm (0.08 in) for any dimension above 600 mm (23.6 in).

There used to be a standard, DIN 198, that was just a table of recommended A series formats for a number of business applications. The 1976 edition of this standard introduced a size 23 A4198 mm × 210 mm and suggested it for some forms and slips.

Swedish extensions

Comparison of ISO 216 and Swedish standard SIS 014711 paper sizes between A4 and A3 sizes Comparison SIS 014711 paper sizes.svg
Comparison of ISO 216 and Swedish standard SIS 014711 paper sizes between A4 and A3 sizes

The Swedish standard SIS 01 47 11 [9] generalized the ISO system of A, B, and C formats by adding D, E, F, and G formats to it. Its D format sits between a B format and the next larger A format (just like C sits between A and the next larger B). The remaining formats fit in between all these formats, such that the sequence of formats A4, E4, C4, G4, B4, F4, D4, *H4, A3 is a geometric progression, in which the dimensions grow by a factor from one size to the next. However, this SIS standard does not define any size between a D format and the next larger A format (called *H in the previous example).

Of these additional formats, G5 (169 × 239 mm) and E5 (155 × 220 mm) are popular in Sweden and the Netherlands for printing dissertations, [10] but the other formats have not turned out to be particularly useful in practice. They have not been adopted internationally and the Swedish standard has been withdrawn.

The Swedish and German D series basically contain the same sizes but are offset by one, i.e. DIN D4 equals SIS D5 and so on.

SIS 014711 formulas, [11] including the missing step, series *H, between D and A,
DesignationShorter edgeLonger edge
Anr−4 × snr+4 × sn
Enr−3 × snr+5 × sn
Cnr−2 × snr+6 × sn
Gnr−1 × snr+7 × sn
Bnr 0 × snr+8 × sn
Fnr+1 × snr+9 × sn
Dnr+2 × snr+10 × sn
*Hnr+3 × snr+11 × sn
A(n-1)r+4 × snr+12 × sn
Swedish D through G series
nEGFD
0878 × 1242958 × 13541044 × 14771091 × 1542
1621 × 878677 × 958738 × 1044771 × 1091
2439 × 621479 × 677522 × 738545 × 771
3310 × 439339 × 479369 × 522386 × 545
4220 × 310239 × 339261 × 369273 × 386
5155 × 220169 × 239185 × 261193 × 273
6110 × 155120 × 169131 × 185136 × 193
778 × 11085 × 12092 × 13196 × 136
855 × 7860 × 8565 × 9268 × 96
939 × 5542 × 6046 × 6548 × 68
1027 × 3930 × 4233 × 4634 × 48

Japanese variation

The Japanese standard JIS P 0138 defines two main series of paper sizes. The JIS A-series is identical to the ISO A-series except that it has slightly different tolerances. The area of B-series paper is 1.5 times that of the corresponding A-paper (instead of the factor for the ISO B-series), so the length ratio is approximately 1.22 times the length of the corresponding A-series paper. The aspect ratio of the paper is the same as for the A-series paper. Both A- and B-series paper are widely available in Japan, Taiwan and China, and most photocopiers are loaded with at least A4 and either one of A3, B4, and B5 paper.

Cascading Style Sheets (CSS) only supports the most popular of the Japanese sizes, JIS-B4 and JIS-B5. [2]

JIS B series paper sizes (with rounded inch values)
Sizemm × mminch × inch
01030 × 145640+1324 × 57+13
1728 × 103028+23 × 40+1324
2515 × 72820+724 × 28+23
3364 × 51514+13 × 20+724
4257 × 36410+18 × 14+13
5182 × 2577+16 × 10+18
6128 × 1825+124 × 7+16
791 × 1283+712 × 5+124
864 × 912+12 × 3+712
945 × 641+1924 × 2+12
1032 × 451+14 × 1+1924
1122 × 3278 × 1+14
1216 × 2258 × 78
JIS P 0202 raw sizes (with rounded inch values)
Sizemm × mminch × inchARsun × sun
A625 × 88024+58 × 34+58√2∶120.6 × 29
B765 × 108530+18 × 42+1724√2∶125.25 × 35.8
Shiroku-ban (4-6)788 × 109131+124 × 42+23241.3826 × 36
Kiku-ban (Chrysanthemum)636 × 93925+124 × 36+23241.4821 × 31
Hattron900 × 120035+512 × 47+144∶329.7 × 39.6

A popular size for books, dubbed AB, combines the shorter edges of A4 and B4. Another two with an aspect ratio approximating 16:9 are 20% narrower variants of A6 and B6, respectively, the latter resulting from cutting JIS B1 into 4 × 10 sheets (thus "B40").

There are also a number of traditional paper sizes, which are now used mostly by printers. The most common of these old series is the Shiroku-ban and the Kiku paper sizes.

Other Japanese paper sizes (with rounded inch values)[ need quotation to verify ]
Sizemm × mminch × inchARsun × sunNotes
AB210 × 2578+14 × 10+1811∶96.93 × 8.48A4/A5 × JIS B4/B5
B40103 × 1824+124 × 7+1616∶93.4 × 6JIS B1 height10 × width4
3584 × 1483+724 × 5+561.762.77 × 4.88trimmed 3 × 5
Kiku-ban227 × 3048+1112 × 11+23241.347.5 × 10
218 × 3048+712 × 11+23241.397.2 × 10
152 × 2276 × 8+11121.495 × 7.5
152 × 2186 × 8+71210∶75 × 7.2

Chinese extensions

The Chinese standard GB/T 148–1997, [12] which replaced GB 148–1989, documents the standard ISO series, A and B, but adds a custom D series. This Chinese format originates from the Republic of China (1912–1949). The D series is not identical to the German or Swedish D series. It does not strictly follow the same principles as ISO paper sizes: The aspect ratio is only very roughly . The short side of the size is always 4 mm longer than the long side of the next smaller size. The long side of the size is always exactly i.e. without further rounding twice as long as the short side of the next smaller size.

SAC paper sizes (with rounded inch values and raw sizes)
FormatD seriesARAliasUntrimmed sizes
Sizemm × mminch × inchmm × mminch × inch
0764 × 106430+112 × 41+781.39271K780 × 108030+1724 × 42+12
1532 × 76020+2324 × 29+11121.42862K540 × 78021+14 × 30+1724
2380 × 52814+2324 × 20+19241.38954K390 × 54015+38 × 21+14
3264 × 37610+38 × 14+19241.42428K270 × 39010+58 × 15+38
4188 × 2607+512 × 10+141.383016K195 × 2707+23 × 10+58
5130 × 1845+18 × 7+141.415432K135 × 1955+13 × 7+23
692 × 1263+58 × 4+23241.369664K97 × 1353+56 × 5+13

Indian variants

The Bureau of Indian Standards recommends the "ISO-A series" size of drawing sheet for engineering drawing works. The Bureau of Indian Standards specifies all the recommendations for engineering drawing sheets in its bulletin IS 10711: 2001. [13]

The Bureau extended the ISO-A series with a Special Elongated Sizes (Second Choice). These sizes are achieved by increasing the shorter dimensions of a sheet of the ISO A series to lengths that are multiples of the shorter dimensions of the chosen basic sheet; in effect, all of the Indian elongated sizes emulate having several regular-size sheets joined on their long edge.

IS Special Elongated Sizes (Second Choice) with rounded inch values
Sizemm × mmin × inAR
A3 x 3420 × 89116+1324 × 35+1123∶√2
A3 x 4420 × 118916+1324 × 46+19244∶√2
A4 x 3297 × 63011+1724 × 24+19243∶√2
A4 x 4297 × 84111+1724 × 33+184∶√2
A4 x 5297 × 105111+1724 × 41+385∶√2

There is also a Exceptional Elongated Sizes (Third Choice). These sizes are obtained by increasing the shorter dimensions of a sheet of the ISO-A series to lengths that are multiples of the shorter dimensions of the chosen basic sheet. These sizes are used when a very large or extra elongated sheet is needed.

IS Exceptional Elongated Sizes (Third Choice) with rounded inch values
Sizemm × mmin × inAR
A0 x 21189 × 168246+1924 × 66+524√2∶1
A0 x 31189 × 252346+1924 × 99+133∶√2
A1 x 3841 × 178333+18 × 70+5243∶√2
A1 x 4841 × 237833+18 × 93+584∶√2
A2 x 3594 × 126123+38 × 49+583∶√2
A2 x 4594 × 168223+38 × 66+5244∶√2
A2 x 5594 × 210223+38 × 82+345∶√2
A3 x 5420 × 148616+1324 × 58+125∶√2
A3 x 6420 × 178316+1324 × 70+5246∶√2
A3 x 7420 × 208016+1324 × 81+787∶√2
A4 x 6297 × 126111+1724 × 49+586∶√2
A4 x 7297 × 147111+1724 × 57+11127∶√2
A4 x 8297 × 168211+1724 × 66+5248∶√2
A4 x 9297 × 189211+1724 × 74+129∶√2

Soviet variants

The first standard of paper size in the Soviet Union was OST 303 in 1926. Six years later, it was replaced by OST 5115 which generally followed DIN 476 principles, but used Cyrillic lowercase letters instead of Latin uppercase, had the second row shifted so that б0 (B0) roughly corresponded to B1 and, more importantly, had slightly different sizes: [14]

OST 5115 formats (1932)
Formatа (A)б (B)в (V, C)
Sizemm × mminch × inchmm × mminch × inchmm × mminch × inch
0814 × 115232+124 × 45+38747 × 105629+512 × 41+712
1576 × 81422+23 × 32+124528 × 74720+1924 × 29+512628 × 88824+1724 × 34+2324
2407 × 57616+124 × 22+23373 × 52814+23 × 20+1924444 × 62817+12 × 24+1724
3288 × 40711+13 × 16+124264 × 37310+38 × 14+23314 × 44412+38 × 17+12
4203 × 2888 × 11+13186 × 2647+13 × 10+38222 × 3148+34 × 12+38
5144 × 2035+23 × 8132 × 1865+524 × 7+13157 × 2226+16 × 8+34
6101 × 1443+2324 × 5+2393 × 1323+23 × 5+524111 × 1574+38 × 6+16
772 × 1012+56 × 3+232466 × 932+712 × 3+2378 × 1113+112 × 4+38
850 × 721+2324 × 2+5646 × 661+1924 × 2+71255 × 782+16 × 3+112
936 × 501+512 × 1+232433 × 461+724 × 1+192439 × 551+1324 × 2+16
1025 × 361 × 1+51223 × 331112 × 1+724
1118 × 251724 × 116 × 2358 × 1112
1212 × 181124 × 172411 × 16512 × 58
139 × 1238 × 1124

The general adaptation of ISO 216 in the Soviet Union, which replaced OST 5115, was GOST 9327. In its 1960 version, it lists formats down to A13, B12 and C8 and also specifies 12, 14 and 18 prefixes for halving the shorter side (repeatedly) for stripe formats, e.g. 12A4 = 105 mm × 297 mm.

A1, A2, A3, A4 and non-ISO sizes as GOST 3450-60 formats Old Soviet standard for paper sizes.svg
A1, A2, A3, A4 and non-ISO sizes as GOST 3450-60 formats

A standard for technical drawings from 1960, GOST 3450, [15] introduces alternative numeric format designations to deal with very high or very wide sheets. These 2-digit codes are based upon A4 = "11": The first digit is the factor the longer side (297 mm) is multiplied by and the second digit is the one for the shorter side (210 mm), so "24" is 2×297 mm × 4×210 mm = 594 mm × 840 mm.

Soviet formats with multiplied shorter side (mm×mm)
n(×1)×2×3×4×5×6
5= A0= 2A02523 × 11893364 × 11894204 × 11895045 × 1189
4= A1= A01784 × 8412378 × 8412973 × 8413568 × 841
3= A2= A11261 × 5951682 × 5952102 × 5952523 × 595
2= A3= A2892 × 4201189 × 4201487 × 4201784 × 420
1= A4= A3631 × 297841 × 2971051 × 2971261 × 297
0= A5= A4446 × 210595 × 210743 × 210892 × 210
A2, A3, A4 and some derived non-ISO sizes as GOST 2301-68 formats GOST 2301-68.svg
A2, A3, A4 and some derived non-ISO sizes as GOST 2301-68 formats

GOST 3450 from 1960 was replaced by ESKD GOST 2301 in 1968, [16] but the numeric designations remained in popular use much longer. The new designations were not purely numeric but consisted of the ISO label followed by an 'x', or possibly the multiplication sign '×', and the factor, e.g. DIN 2A0 = GOST A0×2, but DIN 4A0 ≠ GOST A0×4, also listed are: A0×3, A1×3, A1×4, A2×3–A2×5, A3×3–A3×7, A4×3–A4×9. The formats ...×1 and ...×2 usually would be aliases for existing formats.

Elongated sizes

ISO 5457, last updated in 1999, [17] introduces elongated sizes that are formed by a combination of the dimensions of the short side of an A-size (e.g. A2) with the dimensions of the long side of another larger A-size (e.g. A0). The result is a new size, for example with the abbreviation A2.0 we would have a 420 × 1189 mm size.

elongated paper sizes schema ISO 5457 elongated paper sizes.svg
elongated paper sizes schema
ISO 5457 elongated paper sizes
SizeShort edgeLong edgemm × mmin × inAR
A1.0A1/A2A0594 × 118923+38 × 46+19242∶1
A2.0A2/A3A0420 × 118916+1324 × 46+19244∶√2
A2.1A1/A0420 × 84116+1324 × 33+182∶1
A3.0A3/A4A0297 × 118911+1724 × 46+19244∶1
A3.1A1/A0297 × 84111+1724 × 33+184∶√2
A3.2A2/A1297 × 59411+1724 × 23+382∶1

These drawing paper sizes have been adopted by ANSI/ASME Y14.1M for use in the United States, alongside A0 through A4 and alongside inch-based sizes.

International envelope and insert sizes

Common folded or cut sizes of ISO paper: stripe formats and inserts
Namemm × mminch × inchARNotes
13A499 × 2103+1112 × 8+143∶√2common flyer or stripe size
unnamed105 × 2104+18 × 8+142∶1standard folded size of German letters
DIN 5008 Form A DIN 5008, Form A.svg
DIN 5008 Form A

DIN 5008 (previously DIN 676) prescribes, among many other things, two variants, A and B, for the location of the address field on the first page of a business letter and how to fold the A4 sheet accordingly, so the only part visible of the main content is the subject line.

Common envelopes for ISO paper, that are not simple C-series and B-series formats
Namemm × mminch × inchARContentNotes
DL110 × 2204+13 × 8+232∶113A4, DIN 5008 A and Bdesignated long, "DIN lang" (DIN long); sometimes erroneously instead called "DLE", apparently for envelope; exactly matches Swedish SIS E6/E5 (E6: 110 mm × 155 mm, E5: 155 mm × 220 mm); envelope #5 in China, Chou/N 6 in Japan; fits well enclosed in C6/C5 for the purpose of e.g. reply mail
C6/C5114 × 2294+12 × 92∶1common edge of C6 and C5 is 161 mm;

also known as "Postfix", "DL+" or "DL Max", but those terms are not standardized

Italian110 × 2304+13 × 9+1242.10∶1centimeter-rounded C6/C5 or slightly wider DL
C7/C681 × 1623+524 × 6+382∶113A5common edge of C7 and C6 is 114 mm
B6/C4125 × 3244+1112 × 12+342.6B6 is 125 mm × 176 mm, C4 is 229 mm × 324 mm
Invite220 × 2208+23 × 8+231∶1square card with edge of A4 and A5, 210 mm
DIN E4280 × 40011+124 × 15+3410∶7listed in DIN 476–2, but not part of a series proper; SIS E4 is 220 mm × 310 mm

International raw sizes

ISO 217 raw and ISO 5457 untrimmed sheet sizes
rawmm × mminch × inchspecial rawmm × mminch × inchuntrimmedmm × mminch × inchtrimmedmm × mminch × inch mm × mminch × inch
RA0860 × 122033+34 × 48SRA0900 × 128035+12 × 50+12A0U880 × 123034+34 × 48+12A0T841 × 118933 × 46+34821 × 115932+14 × 45+34
RA1610 × 86024 × 33+34SRA1640 × 90025+14 × 35+12A1U625 × 88024+12 × 34+34A1T594 × 84123+12 × 33574 × 81122+12 × 32
RA2430 × 61017 × 24SRA2450 × 64017+34 × 25+14A2U450 × 62517+34 × 24+12A2T420 × 59416+12 × 23+12400 × 56415+34 × 22+14
RA3305 × 43012 × 17SRA3320 × 45012+12 × 17+34A3U330 × 45013 × 17+34A3T297 × 42011+34 × 16+12277 × 39011 × 15+14
RA4215 × 3058+12 × 12SRA4225 × 3208+34 × 12+12A4U240 × 3309+12 × 13A4T210 × 2978+14 × 11+34180 × 2777 × 11

ISO 5457 specifies drawing paper sizes with a trimmed size equal to the A series sizes from A4 upward. The untrimmed sizes are 3 to 4 cm larger and rounded to the nearest centimeter. A0 through A3 are used in landscape orientation, while A4 is used in portrait orientation. Designations for preprinted drawing paper include the base sizes and a suffix, either T for trimmed or U for untrimmed sheets.

The withdrawn standard ISO 2784 did specify sizes of continuous, fan-fold forms based upon whole inches as was common for paper in continuous lengths in automatic data processing (ADP) equipment. Specifically, 12 inches (304.8 mm) were considered an untrimmed variant of the A4 height of 297 mm.

ISO 2784:1974 correspondence for continuous ADP paper
SizeAcceptable equivalentDirect equivalentExact sizeGross size
inch × inchmm × mmARinch × inchmm × mmARmm × mmmm × mminch × inch
A48 × 12203.2 × 304.83∶28+13 × 11+23211.7 × 296.37∶5210 × 297250 × 3409+45 × 13+25
A56 × 8152.4 × 203.24∶35+56 × 8+13148.2 × 211.710∶7148 × 210180 × 2507+110 × 9+45
A64 × 6101.6 × 152.43∶24+16 × 5+56105.8 × 148.27∶5105 × 148
A73 × 476.20 × 101.64∶374 × 105

Transitional paper sizes

PA4 or L4

Hypothetical PA4-based series
Namemm × mminch × inchAR
PA0840 × 112033+18 × 44+184∶3
PA1560 × 84022 × 33+183∶2
PA2420 × 56016+12 × 224∶3
PA3280 × 42011 × 16+123∶2
PA4210 × 2808+14 × 114∶3
PA5140 × 2105+12 × 8+143∶2
PA6105 × 1404+18 × 5+124∶3
PA770 × 1052+34 × 4+183∶2
PA852 × 702 × 2+341.35
PA935 × 521+38 × 21.49
PA1026 × 351 × 1+381.35

A transitional size called PA4 (210 mm × 280 mm or 8.27 in × 11.02 in), sometimes dubbed L4, was proposed for inclusion into the ISO 216 standard in 1975. It has the height of Canadian P4 paper (215 mm × 280 mm, about 8+12 in × 11 in) and the width of international A4 paper (210 mm × 297 mm or 8.27 in × 11.69 in), i.e. it uses the smaller value among the two for each side. The table shows how this format can be generalized into an entire format series.

The PA formats did not end up in ISO 216, because the committee decided that the set of standardized paper formats should be kept to the minimum necessary.[ citation needed ] However, PA4 remains of practical use today. In landscape orientation, it has the same 4:3 aspect ratio as the displays of traditional TV sets, some computer displays (e.g. the iPad) and data projectors. PA4, with appropriate margins is, therefore, a good choice as the format of presentation slides.

As a compromise between the two most popular paper sizes globally, PA4 is used today by many international magazines, because it can be printed easily on equipment designed for either A4 or US Letter. That means (in practice) it has turned out to be not so much a paper size as a page format. Apple, for instance, requires this format for digital music album booklets. [18]

The size 210 mm × 280 mm was documented in the Canadian standard CAN2-200.2-M79 "Common Image Area for Paper Sizes P4 and A4". [19]

F4

Hypothetical F4-based series
Namemm × mminch × inchAR
F0841 × 132133+18 × 521.57
F1660 × 84126 × 33+181.27
F2420 × 66016+12 × 261.57
F3330 × 42013 × 16+121.27
F4210 × 3308+14 × 131.57
F5165 × 2106+12 × 8+141.27
F6105 × 1654+18 × 6+121.57
F782 × 1053+14 × 4+1832∶25
F852 × 822 × 3+141.58
F941 × 521+58 × 21.27
F1026 × 411 × 1+581.58

A non-standard F4 paper size is common in Southeast Asia. It is a transitional size with the shorter side of ISO A4 (210 mm, 8+14 inch) and the longer side of British Foolscap (13-inch, 330 mm). ISO A4 is exactly 90% the height of F4. This size is sometimes also known as (metric) 'foolscap' or 'folio'.

In some countries, the narrow side of F4 is slightly broader: 8.5 inches (216 mm) or 215 mm. It is then equivalent to the US Government Legal and Foolscap Folio sizes. In Indonesia, where it is the legally-mandated paper size for use in the printing of national legislation, it is sometimes called Folio or HVS (from Dutch : houtvrij schrijfpapier, "wood-free writing paper"). In Philippines, it is commonly called long bond as opposed to short bond which refers to the US Letter paper size.

A sheet of F4 can be cut from a sheet of SRA4 with very little wastage. The size is also smaller than its Swedish equivalent SIS F4 at 239 mm × 338 mm.

Weltformat

The Weltformat (world format) was developed by German chemist Wilhelm Ostwald in 1911 as part of Die Brücke, around the same time DIN 476 was first discussed. It shares the same design primitives, especially the aspect ratio, but is based upon 1 cm as the short edge of the smallest size. Sizes were designated by roman numerals. The result, for the fourth through fourteenth size, is close to the DIN/ISO C series. [20]

[21]

Original world format sizes with equivalent C-series format
Weltformatmm × mminch × inchDIN
I10 × 1438 × 12
II14 × 2012 × 34
III20 × 2834 × 1+18
IV28 × 401+18 × 1+58C10
V40 × 571+58 × 2+14C9
VI57 × 802+14 × 3+18C8
VII80 × 1133+18 × 4+12C7
VIII113 × 1604+12 × 6+14C6
IX160 × 2266+14 × 8+78C5
X226 × 3208+78 × 12+58C4
XI320 × 45312+58 × 17+78C3
XII453 × 64017+78 × 25+14C2
XIII640 × 90525+14 × 35+58C1
XIV905 × 128035+58 × 50+38C0
XV1280 × 181050+38 × 71+14
XVI1810 × 256071+14 × 100+34

The sizes have been used for some print products in the early 20th century in central Europe but got replaced by DIN sizes almost entirely. However, it was successfully adopted from 1913 onwards for posters and placards in Switzerland. Even today, the default size for posters in Swiss advertisements, F4, is colloquially known as Weltformat, although it measures 895 mm × 1280 mm, i.e. 1 cm less than size XIV. [22] This poster size goes alongside F12 "Breitformat" 2685 mm × 1280 mm (3 × F4) and F24 "Großformat" 2685 mm × 2560 mm (2 × 3 × F4, ) as well as F200 "Cityformat" 1165 mm × 1700 mm.

A0a

Although the movement is towards the international standard metric paper sizes, on the way there from the traditional ones there has been at least one new size just a little larger than that used internationally.

British architects and industrial designers once used a size called "Antiquarian", 31 in × 53 in (787 mm × 1,346 mm), as listed above, but given in the New Metric Handbook (Tutt & Adler 1981) as 813 mm × 1,372 mm (32 in × 54 in) for board size. This is a little larger than ISO A0, 841 mm × 1189 mm. So for a short time, a size called A0a of 1,000 mm × 1,370 mm (39.4 in × 53.9 in) was used in Britain, which is actually just a slightly shorter version of ISO B0 at 1414 mm.

Pliego

Colombian metric paper sizes [23]
Sizemm × mminch × inchAR
Pliego700 × 100027+12 × 39+1410∶7
12 pliego500 × 70019+34 × 27+127∶5
14 pliego350 × 50013+34 × 19+3410∶7
18 pliego250 × 3509+34 × 13+347∶5

The most common paper sizes used for commercial and industrial printing in Colombia are based upon a size referred to as pliego that is ISO B1 (707 mm × 1000 mm) cut to full decimetres. Smaller sizes are derived by halving as usual and just get a vulgar fraction prefix: 12 pliego and 14 pliego.

K

In East Asia, i.e. Japan, Taiwan, and China in particular, there is a number of similar paper sizes in common use for book-making and other purposes. Confusingly, a single designation is often used with slightly different edge measures: The base sheet is labeled 1K (or 1开, where K stands for Chinese :开本; pinyin :kāiběn; lit.' folio '; or 1切/1取 in Japanese); all smaller sizes derived by halving have the power of two number, i = 2n, in front of the uppercase letter K. The number in ISO designations, in contrast, is the exponent n that would yield the number of sheets cut from the base sizes.

The sizes of such folios depend on the base sheet. Pre-metric standards include:

The 4/6 standard has given rise to newer metric book-size standards, including:

Traditional East-Asian Kai or 2nK paper sizes with comparable modern sizes, all in (mm × mm)
4/6Taiwanese finishes (trimmed 4/6)Japan KaiJapanese finishesJIS BJIS P 0138SAC
shaku-basedinch-basedtrimmeduntrimmed
1K788 × 1091787 × 1092758 × 1060760 × 1040765 × 1085B1728 × 1030D0764 × 1064780 × 1080
2K545 × 788546 × 787530 × 758520 × 760(542 × 765)B2515 × 728D1532 × 760540 × 780
4K394 × 545394 × 546379 × 530380 × 520(382 × 542)B3364 × 515D2380 × 532390 × 540
8K272 × 394273 × 394265 × 379260 × 380267 × 389275 × 395264 × 379(271 × 382)B4257 × 364D3264 × 376270 × 390
16K197 × 272197 × 273189 × 265190 × 260198 × 275189 × 262(191 × 271)B5182 × 257D4188 × 260195 × 270
32K136 × 197137 × 197132 × 189130 × 190130 × 188127 × 188(135 × 191)B6128 × 182D5130 × 184135 × 195
64K98 × 13698 × 13794 × 13295 × 130B791 × 128D692 × 13097 × 135
128K68 × 9866 × 9465 × 95B864 × 91(65 × 92)(67 × 97)

North American paper sizes

Inch-based loose sizes

American loose paper sizes [24]
Sizeinch × inchmm × mmAR
Ledger [25] 17 × 11432 × 2790.65
Tabloid Extra12 × 18305 × 4573∶2
European EDP12 × 14305 × 3561.17
Tabloid11 × 17279 × 4321.55
11 × 1511 × 15279 × 3811.36
Fanfold 11 × 14+78279 × 3781.35
EDP11 × 14279 × 3561.27
11 × 1211 × 12279 × 30512∶11
10 × 1410 × 14254 × 3567∶5
10 × 1310 × 13254 × 3301.3
10 × 1110 × 11254 × 27911∶10
Legal Extra9+12 × 15241 × 3811.58
Letter Extra9+12 × 12241 × 3051.26
Letter Tab9 × 11229 × 27911∶9
Legal8+12 × 14216 × 3561.65
Foolscap Folio 8+12 × 13+12216 × 3431.59
Oficio 8+12 × 13+25216 × 3401.58
Government Legal; [26] Foolscap [24] 8+12 × 13216 × 3301.53
Letter Plus8+12 × 12+23216 × 3221.49
European Fanfold 8+12 × 12216 × 305√2∶1
Letter 8+12 × 11216 × 2791.29
Quarto8+12 × 10+56216 × 2751.27
Government Legal [24] , (Foolscap Folio)8 × 13203 × 3301.63
Demitab, (Government Letter)8 × 10+12203 × 2671.31
Government Letter8 × 10203 × 2545∶4
Executive7+14 × 10+12184 × 2671.45
7 × 97 × 9178 × 2291.29
Memo, Statement, Mini, Invoice;
Stationery, Half Letter
5+12 × 8+12140 × 2161.55
Junior Legal5 × 8127 × 2038∶5
5 × 75 × 7127 × 1787∶5

The United States, Canada, and the Philippines [1] primarily use a different system of paper sizes from the rest of the world. The current standard sizes are unique to those countries, although due to the size of the North American market and proliferation of both software and printing hardware from the region, other parts of the world have become increasingly familiar with these sizes (though not necessarily the paper itself). Some traditional North American inch-based sizes differ from the Imperial British sizes described below.

Common American loose sizes

Letter, Legal and Ledger/Tabloid are by far the most commonly used of these for everyday activities, and the only ones included in Cascading Style Sheets (CSS).

The origins of the exact dimensions of Letter size paper are lost in tradition and not well documented. The American Forest and Paper Association argues that the dimension originates from the days of manual papermaking and that the 11-inch length of the page is about a quarter of "the average maximum stretch of an experienced vatman's arms." [27] However, this does not explain the width or aspect ratio.

Outside of North America, Letter size may also be known as "American Quarto". [28] If one accepts some trimming, the size is indeed one quarter of the old Imperial paper size known as Demy, 17+12 in × 22+12 in (444 mm × 572 mm). [29] Manufacturers of computer printers, however, recognize inch-based Quarto as 10+56 or 10.83 in (275 mm) long. [24]

Usage and adoption

US paper sizes are currently standard in the United States and are the most commonly used formats at least in the Philippines, most of Mesoamerica [30] and Chile. The latter use US Letter, but their Legal size is 13 inches tall (recognized as Foolscap by printer manufacturers, [24] i.e. one inch shorter than its US equivalent. [31]

Mexico and Colombia, for instance, have adopted the ISO standard, but the US Letter format is still the system in use throughout the country. It is rare to encounter ISO standard papers in day-to-day uses, with Carta (Letter), Oficio (Government-Legal), and Doble carta (Ledger/Tabloid) being nearly universal. Printer manufacturers, however, recognize Oficio as 13.4 in (340 mm) long. [24]

In Canada, select US paper sizes are a de facto standard.

Variant American loose sizes

There is an additional paper size, 8 in × 10+12 in (205 mm × 265 mm), to which the name Government-Letter was given by the IEEE Printer Working Group (PWG). [24] It was prescribed by Herbert Hoover when he was Secretary of Commerce to be used for US government forms, apparently to enable discounts from the purchase of paper for schools, but more likely due to the standard use of trimming books (after binding) and paper from the standard letter size paper to produce consistency and allow "bleed" printing. In later years, as photocopy machines proliferated, citizens wanted to make photocopies of the forms, but the machines did not generally have this size of paper in their bins. Ronald Reagan therefore had the US government switch to regular Letter size, which is half an inch both longer and wider. [27] The former government size is still commonly used in spiral-bound notebooks, for children's writing and the like, a result of trimming from the current Letter dimensions.

By extension of the American standards, the halved Letter size, 5+12 in × 8+12 in (140 mm × 215 mm), meets the needs of many applications. It is variably known as Statement, Stationery, Memo, Half Letter, Half A (from ANSI sizes) or simply Half Size, and as Invoice by printer manufacturers. [24] Like the similar-sized ISO A5, it is used for everything from personal letter writing to official aeronautical maps. Organizers, notepads, and diaries also often use this size of paper; thus 3-ring binders are also available in this size. Booklets of this size are created using word processing tools with landscape printing in two columns on letter paper which are then cut or folded into the final size.

A foot-long sheet with the common width of Letter and (Government) Legal, i.e. 8+12 in × 12 in (215 mm × 305 mm), would have an aspect ratio very close to the square root of two as used by international paper sizes and would actually almost exactly match ISO RA4 (215 mm × 305 mm). This size is sometimes known as European Fanfold. [24]

While Executive refers to 7+14 in × 10+12 in (185 mm × 265 mm) in America, the Japanese organization for standardization specified it as 216 mm × 330 mm (8.5 in × 13.0 in), which is elsewhere known as Government Legal or Foolscap.

Standardized American paper sizes

A size chart illustrating the ANSI sizes, superimposed on an "ANSI E" sheet ANSI size illustration2.svg
A size chart illustrating the ANSI sizes, superimposed on an "ANSI E" sheet

In 1996, the American National Standards Institute adopted ANSI/ASME Y14.1 which defined a regular series of paper sizes based upon the de facto standard 8+12 in × 11 in (216 mm × 279 mm) Letter size which it assigned "ANSI A", intended for technical drawings, hence sometimes labeled "Engineering". This series is somewhat similar to the ISO standard in that cutting a sheet in half would produce two sheets of the next smaller size and therefore also includes Ledger/Tabloid [25] as "ANSI B". Unlike the ISO standard, however, the arbitrary base sides forces this series to have two alternating aspect ratios. For example, ANSI A is less elongated than A4, while ANSI B is more elongated than A3.

The Canadian standard CAN2 9.60-M76 and its successor CAN/CGSB 9.60-94 "Paper Sizes for Correspondence" specified paper sizes P1 through P6, which are the U.S. paper sizes rounded to the nearest 5 mm. [32] All custom Canadian paper size standards were withdrawn in 2012. [33]

With care, documents can be prepared so that the text and images fit on either ANSI or their equivalent ISO sheets at a 1:1 reproduction scale.

ANSI and CAN paper sizes
US sizeinch × inchmm × mmARCanadian size (mm × mm)Similar size (mm × mm)
CAN P6107 × 140ISO A6105 × 148
CAN P5140 × 215ISO A5148 × 210
ANSI A8+12 × 11216 × 27917:22CAN P4215 × 280ISO A4210 × 297
ANSI B11 × 17279 × 43211:17CAN P3280 × 430ISO A3297 × 420
ANSI C17 × 22432 × 55917:22CAN P2430 × 560ISO A2420 × 594
ANSI D22 × 34559 × 86411:17CAN P1560 × 860ISO A1594 × 841
ANSI E34 × 44864 × 111817:22ISO A0841 × 1187

Other, informal, larger sizes continuing the alphabetic series illustrated above exist, but they are not part of the series per se, because they do not exhibit the same aspect ratios. For example, Engineering F size is 28 in × 40 in or 711 mm × 1,016 mm with ca. 1.4286:1; it is commonly required for NAVFAC drawings, but is generally less commonly used. Engineering G size is 22+12 in (572 mm) high, but it is a roll format with a variable width up to 90 in (2.3 m) in increments of 8+12 in (216 mm). Engineering H through N sizes are also roll formats.

Such huge sheets were at one time used for full-scale layouts of aircraft parts, automotive parts, wiring harnesses, and the like, but are slowly being phased out, due to widespread use of computer-aided design (CAD) and computer-aided manufacturing (CAM). Some visual arts fields also continue to use these paper formats for large-scale printouts, such as for displaying digitally painted character renderings at life-size as references for makeup artists and costume designers or to provide an immersive landscape reference.

Architectural sizes

A size chart illustrating the Architectural sizes ARCH PAPER SIZES v3.svg
A size chart illustrating the Architectural sizes

In addition to the system as listed above, there is a corresponding series of paper sizes used for architectural purposes defined in the same standard, ANSI/ASME Y14.1, which is usually abbreviated "Arch". This series also shares the property that bisecting each size produces two of the size below, with alternating aspect ratios. It may be preferred by North American architects because the aspect ratios (4:3 and 3:2) are ratios of small integers, unlike their ANSI (or ISO) counterparts. Furthermore, the aspect ratio 4:3 matches the traditional aspect ratio for computer displays.

The size Arch E1 has a different aspect ratio because it derives from adding 6 inches to each side of Arch D or subtracting the same amount from Arch E. Printer manufacturer recognize it as wide-format. [24] An intermediate size between Arch C and D with a long side of 30 inches (760 mm) does not exist.

US architectural standard paper sizes [34]
Namesinch × inchmm × mmAR
Arch AArch 19 × 12229 × 3054∶3
Arch BArch 212 × 18305 × 4573∶2
Arch CArch 318 × 24457 × 6104∶3
Arch DArch 424 × 36610 × 9143∶2
Arch E1Arch 530 × 42762 × 10707∶5
Arch E2 [24] 26 × 38660 × 9651.46
Arch E3 [24] 27 × 39686 × 99113∶9
Arch EArch 636 × 48914 × 12204∶3

Demitab

The demitab or demi-tab (a portmanteau of the French word 'demi' [half] and 'tabloid') is 8 in × 10+12 in (203 mm × 267 mm), i.e. roughly one half of a sheet of 11 in × 17 in (279 mm × 432 mm) tabloid-size paper. [35]

"Demitab", "broadsheet" or "tabloid" format newspapers are not necessarily printed on paper measuring exactly their nominal size.

Notebook sizes

The sizes listed above are for paper sold loose in reams. There are many sizes of tablets of paper, that is, sheets of paper bound at one edge, usually by a strip of plastic or hardened PVA adhesive. Often there is a pad of cardboard (also known as paperboard or greyboard) at the bottom of the stack. Such a tablet serves as a portable writing surface, and the sheets often have lines printed on them, usually in non-repro blue, to make writing in a line easier. An older means of binding is to have the sheets stapled to the cardboard along the top of the tablet; there is a line of perforated holes across every page just below the top edge from which any page may be torn off. Lastly, a pad of sheets each weakly stuck with adhesive to the sheet below, trademarked as "Post-It" or "Stick-Em" and available in various sizes, serve as a sort of tablet.

"Letter pads" are 8+12 in × 11 in (220 mm × 280 mm), while the term "legal pad" is often used by laymen to refer to pads of various sizes including those of 8+12 in × 14 in (220 mm × 360 mm). Stenographers use "steno pads" of 6 in × 9 in (150 mm × 230 mm). The steno pad size is also used by Scholastic Corporation as the textblock size of their hardcover editions of the Harry Potter novels, with paperback editions using DIN D6.

Envelope sizes

US envelopes [24]
Nameinch × inchmm × mmAR
Personal3+58 × 6+1292.1 × 1651.79
Monarch3+78 × 7+1298.4 × 1911.94
A24+38 × 5+34111 × 1461.31
#93+78 × 8+7898.4 × 2252.29
#10, Commercial4+18 × 9+12105 × 2412.3
#114+12 × 10+38114 × 2642.31
#124+34 × 11121 × 2792.32
#145 × 11+12127 × 2922.3
US Postal Service size limitations, height × width × thickness [36]
Mail pieceinch × inch × inchmm × mm × mm
Minimum3+12 × 5 × 0.00988.9 × 127 × 0.229
Postcard maximum4+14 × 6 × 0.016108 × 152 × 0.406
Letter maximum6+18 × 11+12 × 14156 × 292 × 6.35
Flat-size maximum12 × 15 × 34305 × 381 × 19.1

This implies that all postcards have an aspect ratio in the range from 20∶17 = 1.18 to 12∶7 = 1.71, but the machinable aspect ratio is further restricted to a minimum of 1.30. The only ISO 216 size in the US postcard range is A6. The theoretical maximum aspect ratio for enveloped letters is 23∶7 = 3.29, but is explicitly limited to 2.50.

Personal organizer sizes

US personal organizers
CompanyNameinch × inchmm × mmHoles
Filofax [37] M22+12 × 463.5 × 1023 holes
Mini2+58 × 4+1866.7 × 1055 holes
Pocket3+16 × 4+3480.4 × 1216 holes
Personal, Slimline3+34 × 6+3495.2 × 1716 holes
A5(5+1316 × 8+932)148 × 2106 holes
Deskfax (B5)(6+1516 × 9+2732)176 × 2509 holes
A4(8+932 × 11+1116)210 × 2974 holes
Franklin Planner [38] Micro (18-Letter)2+58 × 4+1466.7 × 108
Pocket3+12 × 688.9 × 152
Compact4+14 × 6+34108 × 171
Classic (12-Letter)5+12 × 8+12140 × 216
Monarch (Letter)8+12 × 11216 × 279
Jeppesen Aeronautical Chart (12-Letter)5+12 × 8+12140 × 2167 holes; FAA: 3 holes at top

Index card sizes

US index cards
inch × inchmm × mmAR
3 × 576.2 × 1275∶3
4 × 6102 × 1523∶2
5 × 8127 × 2038∶5
6 × 8152 × 2034∶3

Photography sizes

US photographic paper sizes
Nameinch × inchmm × mmAR
2R2+12 × 3+1263.5 × 88.97∶5
-3 × 576.2 × 1275∶3
LD, DSC3+12 × 4+2388.9 × 1194∶3
3R, L3+12 × 588.9 × 12710∶7
LW3+12 × 5+1488.9 × 1333∶2
KGD4 × 5+13102 × 1354∶3
4R, KG4 × 6102 × 1523∶2
2LD, DSCW5 × 6+23127 × 1694∶3
5R, 2L5 × 7127 × 1787∶5
2LW5 × 7+12127 × 1913∶2
6R6 × 8152 × 2034∶3
8R, 6P8 × 10203 × 2545∶4
S8R, 6PW8 × 12203 × 3053∶2
11R11 × 14279 × 3561.27
A3+, Super B13 × 19330 × 4831.46

Grain

Most industry standards express the direction of the grain last when giving dimensions (that is, 17 × 11 inches is short grain paper and 11 × 17 inches is long grain paper), although alternatively the grain alignment can be explicitly indicated with an underline (11 × 17 is a short grain) or the letter "M" for "machine" (11M × 17 is a short grain). Grain is important because the paper will crack if folded across the grain: for example, if a sheet 17 × 11 inches is to be folded to divide the sheet into two 8.5 × 11 halves, then the grain will be along the 11-inch side. [39] Paper intended to be fed into a machine that will bend the paper around rollers, such as a printing press, photocopier or typewriter, should be fed grain edge first so that the axis of the rollers is along the grain.

Traditional inch-based paper sizes

Traditional and standardized paper formats still relevant in the US Paper size - US system.svg
Traditional and standardized paper formats still relevant in the US

Traditionally, a number of different sizes were defined for large sheets of paper, and paper sizes were defined by the sheet name and the number of times it had been folded. Thus a full sheet of "royal" paper was 25 × 20 inches, and "royal octavo" was this size folded three times, so as to make eight sheets, and was thus 10 × 6+14 inches. Royal sizes were used for posters and billboards.

Common divisions and their abbreviations
NameAbbr.FoldsLeavesPages
Folio fo, f124
Quarto4to248
Sexto, sixmo6to, 6mo3612
Octavo8vo3816
Duodecimo, twelvemo12mo41224
Sextodecimo, sixteenmo16mo41632

Imperial sizes were used in the United Kingdom and its territories and some survived in US book printing.

Imperial paper sizes
NameVariantinch × inchmm × mmAR
EmperorUK48 × 721220 × 18301.5
Quad RoyalUS40 × 501020 × 12701.25
Quad DemyUS35 × 45889 × 11401.2857
AntiquarianUK31 × 53787 × 13501.7097
Grand EagleUK28+34 × 42730 × 10701.4609
Double ElephantUK26+34 × 40679 × 10201.4984
AtlasUK26 × 34660 × 8641.3077
Double RoyalUS25 × 40635 × 10201.6
ColombierUK23+12 × 34+12597 × 8761.4681
Double DemyUK22+12 × 35+12572 × 9021.57
US22+12 × 35572 × 8891.5
ImperialUK22 × 30559 × 7621.3636
Double Large PostUK21 × 33533 × 8381.5713
Elephantboth23 × 28584 × 7111.2174
PrincessUK22+12 × 28572 × 7111.3023
CartridgeUK21 × 26533 × 6601.2381
Royalboth20 × 25508 × 6351.25
Sheet, Half PostUK19+12 × 23+12495 × 5971.2051
Double PostUK19 × 30+12483 × 7751.6052
Super RoyalUK19 × 27483 × 6861.4203
BroadsheetUS18 × 24457 × 6101.3
MediumUK17+12 × 23444 × 5841.2425
US18 × 23457 × 5841.27
Demyboth17+12 × 22+12444 × 5721.2857
Copy DraughtUK16 × 20406 × 5081.25
Large PostUK15+12 × 20394 × 5081.2903
US16+12 × 21419 × 5331.27
PostUK15+12 × 19+14394 × 4891.2419
US15+12 × 19+12394 × 4951.2581
Crownboth15 × 20381 × 5081.3
Pinched PostUK14+34 × 18+12375 × 4701.2533
FoolscapUK13 × 16330 × 4061.2303
US13+12 × 17343 × 4321.2595
Foolscap Folio UK13 × 8330 × 2031.6256
US13+12 × 8+12343 × 2161.5880
Small FoolscapUK13+14 × 16+12337 × 4191.2453
BriefUK13+12 × 16343 × 4061.1852
PottUK12+12 × 15317 × 3811.2
QuartoUS9 × 11229 × 2791.2
Executive, MonarchUS7+14 × 10+12184 × 2671.4483

Traditional British paper sizes

Traditional British paper sizes are referred to by the number of sheets that can be cut from a sheet of uncut paper. [40] The standard Imperial uncut paper sizes used in offices and schools were "foolscap", "post", and "copy". Each uncut sheet can then be halved into folios, quartered into quartos, or eighthed into octavos.

British Imperial paper sizes [41]
Nameinch × inchmm × mmAR
Foolscap13.25 × 16.5337 × 4195∶4
Foolscap Folio (Folio)8 × 13203 × 3301.63
Foolscap Quarto (Kings)6.5 × 8165 × 2031.23
Foolscap Octavo4 × 6.5102 × 1651.63
Post15 × 19381 × 4831.27
Post Folio9.5 × 15241 × 3811.58
Post Quarto (Imperial)7 × 9178 × 2291.29
Post Octavo4.5 × 7114 × 17814∶9
Copy16 × 20406 × 5085∶4
Copy Folio10 × 16254 × 4068∶5
Copy Quarto (Quarto)8 × 10203 × 2545∶4
Copy Octavo5 × 8127 × 2038∶5

Traditional French paper sizes

Before the adoption of the ISO standard system in 1967, France had its own paper size system. Raisin format is still in use today for artistic paper. All are standardized by the AFNOR. [42] Their names come from the watermarks that the papers were branded with when they were handcrafted, which is still the case for certain art papers. They also generally exist in double versions where the smallest measure is multiplied by two, or in quadruple versions where both measures have been doubled.

AFNOR paper sizes
NameFormat (cm × cm)Use
Cloche30 × 40
Pot, écolier31 × 40
Tellière34 × 44old French administration
Couronne écriture36 × 46
Couronne édition37 × 47
Roberto39 × 50anatomic drawing
Écu40 × 52
Coquille44 × 56
Carré45 × 56
Cavalier46 × 62
Demi-raisin32,5 × 50drawing
Raisin50 × 65drawing
Double raisin65 × 100
Jésus56 × 76 Atlas des sentiers et chemins vicinaux
Soleil60 × 80
Colombier affiche60 × 80
Colombier commercial63 × 90
Petit Aigle70 × 94
Grand Aigle75 × 105 Plans cadastraux primitifs
(Napoleonic land registry)
75 × 106 [43]
75 × 110 [44]
Grand Monde90 × 126
Univers100 × 130

Business card sizes

Common business card sizes
Originmm × mminch × inchAR
A874 × 522+1516 × 2+116√2
B888 × 623+49 × 2+49√2
Western Europe85 × 553+13 × 2+1617∶11
International86 × 543+38 × 2+1827∶17
North America89 × 513+12 × 27∶4
Eastern Europe, Asia, Africa, South America90 × 503+916 × 29∶5
East Asia90 × 543+916 × 2+185∶3
Scandinavia, Southeast Asia, Oceania90 × 553+916 × 2+1618∶11
Japan91 × 553+712 × 2+161.654

The international business card has the size of the smallest rectangle containing a credit card rounded to full millimeters, but in Western Europe, it is rounded to half centimeters (rounded up in Northern Europe), in Eastern Europe to full centimeters, in North America to half inches. However, credit card size, as defined in ISO/IEC 7810, also specifies rounded corners and thickness.

Newspaper sizes

Comparison of some newspaper sizes with metric paper sizes. Approximate nominal dimensions are in millimetres. Comparison newspaper size.svg
Comparison of some newspaper sizes with metric paper sizes. Approximate nominal dimensions are in millimetres.

Newspapers have a separate set of sizes.

In a recent trend [45] many newspapers have been undergoing what is known as "web cut down", in which the publication is redesigned to print using a narrower (and less expensive) roll of paper. In extreme examples, some broadsheet papers are nearly as narrow as traditional tabloids.

See also

Related Research Articles

The aspect ratio of a geometric shape is the ratio of its sizes in different dimensions. For example, the aspect ratio of a rectangle is the ratio of its longer side to its shorter side—the ratio of width to height, when the rectangle is oriented as a "landscape".

<span class="mw-page-title-main">Geometric mean</span> N-th root of the product of n numbers

In mathematics, the geometric mean is a mean or average which indicates a central tendency of a finite set of real numbers by using the product of their values. The geometric mean is defined as the nth root of the product of n numbers, i.e., for a set of numbers a1, a2, ..., an, the geometric mean is defined as

<span class="mw-page-title-main">ISO 216</span> International standard for paper sizes, including A4

ISO 216 is an international standard for paper sizes, used around the world except in North America and parts of Latin America. The standard defines the "A", "B" and "C" series of paper sizes, including A4, the most commonly available paper size worldwide. Two supplementary standards, ISO 217 and ISO 269, define related paper sizes; the ISO 269 "C" series is commonly listed alongside the A and B sizes.

<span class="mw-page-title-main">Envelope</span> Stationery item used for flat mail

An envelope is a common packaging item, usually made of thin, flat material. It is designed to contain a flat object, such as a letter or card.

f-number Measure of lens speed

An f-number is a measure of the light-gathering ability of an optical system such as a camera lens. It is calculated by dividing the system's focal length by the diameter of the entrance pupil. The f-number is also known as the focal ratio, f-ratio, or f-stop, and it is key in determining the depth of field, diffraction, and exposure of a photograph. The f-number is dimensionless and is usually expressed using a lower-case hooked f with the format f/N, where N is the f-number.

<span class="mw-page-title-main">Foolscap folio</span> Paper size historically common in some parts of Europe, and former British territories

Foolscap folio is paper cut to the size of 8+12 × 13+12 in (216 × 343 mm) for printing or to 8 × 13 in (203 × 330 mm) for "normal" writing paper (foolscap). This was a traditional paper size used in some parts of Europe, and the British Commonwealth, before the adoption of the international standard A4 paper.

<span class="mw-page-title-main">Hole punch</span> Office tool for making uniform holes in paper

A hole punch, also known as hole puncher, or paper puncher, is an office tool that is used to create holes in sheets of paper, often for the purpose of collecting the sheets in a binder or folder. A hole punch can also refer to similar tools for other materials, such as leather, cloth, or plastic or metal sheets.

<span class="mw-page-title-main">Ring binder</span> Large folder that contains file folders or hole-punched papers

Ring binders are large folders that contain file folders or hole punched papers. These binders come in various sizes and can accommodate an array of paper sizes. These are held in the binder by circular or D-shaped retainers, onto which the contents are threaded. In North America, the rings themselves come in a variety of sizes, including 0.5, 1, 1.5, and 2 inches, though other sizes are also available. The rings may be secured by lever arch mechanisms or other securing systems, or may be spring-loaded. The binders themselves are typically made from plastic with metal rings. Early designs were patented during the early 1890s to the early 1900s.

In industrial design, preferred numbers are standard guidelines for choosing exact product dimensions within a given set of constraints. Product developers must choose numerous lengths, distances, diameters, volumes, and other characteristic quantities. While all of these choices are constrained by considerations of functionality, usability, compatibility, safety or cost, there usually remains considerable leeway in the exact choice for many dimensions.

<span class="mw-page-title-main">Letter (paper size)</span> Paper size of 8.5 by 11 inches

Letter or ANSI Letter is a paper size standard defined by the American National Standards Institute, commonly used as home or office stationery in the United States, Canada, Chile, Colombia, Costa Rica, Mexico, Panama, Guatemala, the Dominican Republic and the Philippines. It measures 8.5 by 11 inches and is similar in use to the A4 paper standard at 210 mm × 297 mm used by most other countries, defined in ISO 216 by the International Organization for Standardization.

<span class="mw-page-title-main">Book size</span> Form a book is produced into

The size of a book is generally measured by the height against the width of a leaf, or sometimes the height and width of its cover. A series of terms is commonly used by libraries and publishers for the general sizes of modern books, ranging from folio, to quarto (smaller) and octavo. Historically, these terms referred to the format of the book, a technical term used by printers and bibliographers to indicate the size of a leaf in terms of the size of the original sheet. For example, a quarto historically was a book printed on sheets of paper folded in half twice, with the first fold at right angles to the second, to produce 4 leaves, each leaf one fourth the size of the original sheet printed – note that a leaf refers to the single piece of paper, whereas a page is one side of a leaf. Because the actual format of many modern books cannot be determined from examination of the books, bibliographers may not use these terms in scholarly descriptions.

The ISO metric screw thread is the most commonly used type of general-purpose screw thread worldwide. They were one of the first international standards agreed when the International Organization for Standardization (ISO) was set up in 1947.

<span class="mw-page-title-main">Exercise book</span> Type of notebook designed for writing schoolwork and study notes

An exercise book or composition book is a notebook that is used in schools to copy down schoolwork and notes. A student will usually have a different exercise book for each separate lesson or subject.

Grammage and basis weight, in the pulp and paper industry, are the area density of a paper product, that is, its mass per unit of area. Two ways of expressing grammage are commonly used:

The ISO 217:2013 standard defines the RA and SRA paper formats.

<span class="mw-page-title-main">Image sensor format</span> Shape and size of a digital cameras image sensor

In digital photography, the image sensor format is the shape and size of the image sensor.

Standard photographic print sizes are used in photographic printing. Cut sheets of paper meant for printing photographs are commonly sold in these sizes.

<span class="mw-page-title-main">ANSI/ASME Y14.1</span>

In 1992, the American National Standards Institute adopted ANSI/ASME Y14.1Decimal Inch Drawing Sheet Size and Format, which defined a regular series of paper sizes based upon the de facto standard 8+12 in × 11 in "letter" size to which it assigned the designation "ANSI A". This series also includes "ledger"/"tabloid" as "ANSI B". This series is somewhat similar to the ISO 216 standard in that cutting a sheet in half would produce two sheets of the next smaller size. Unlike the ISO standard, however, the arbitrary aspect ratio forces this series to have two alternating aspect ratios. ANSI/ASME Y14.1 has been revised or updated in 1995, 2005, 2012 and 2022. It had an accompanying standard, ANSI/ASME Y14.1M, that defined metric drawing paper sizes based upon ISO 216 and ISO 5457. ASME Y14.1 and ASME Y14.1M have now been revised and consolidated into one document, ASME Y14.1-2020, Drawing Sheet Size and Format, published on 18 December 2020.

The aspect ratio of an image is the ratio of its width to its height, and is expressed with two numbers separated by a colon, such as 2.40:1. For the 2.40:1 aspect ratio, the image is 2.40 units wide and 1 unit high. Common aspect ratios are 1.85:1 and 2.40:1 in cinematography, 4:3 and 16:9 in television photography, and 3:2 in still photography. The film was filmed in 2.40:1 widescreen.

<span class="mw-page-title-main">Preferred metric sizes</span> Metricated industry standards

Preferred metric sizes are a set of international standards and de facto standards that are designed to make using the metric system easier and simpler, especially in engineering and construction practices. One of the methods used to arrive at these preferred sizes is the use of preferred numbers and convenient numbers, such as the Renard series and 1-2-5 series, to limit the number of different sizes of components needed.

References

  1. 1 2 Belize, Canada, Chile, Colombia, Costa Rica, El Salvador, Guatemala, Mexico, Nicaragua, Panama, Philippines, Puerto Rico, United States, Venezuela according to "Territory Information". CLDR. 31. Archived from the original on 2018-06-20. Retrieved 2018-03-24., which is a data collection used by almost all software manufacturers.
  2. 1 2 "size". Archived from the original on 2017-02-02. Retrieved 2017-01-25.
  3. "Lichtenberg's letter to Johann Beckmann". Markus Kuhn. 2006-02-07. Archived from the original on 2011-12-31. Retrieved 2023-04-03.
  4. "Loi sur le timbre (Nº 2136)" [Stamp Act (No. 2136)]. Bulletin des Lois de la République (in French). Paris: Republic of France (237): 1–2. 1798-11-03. Archived from the original on 2009-04-26. Retrieved 2024-01-20 via Markus Kuhn.
  5. Metrication Board (1980). "Final report of the Metrication Board" (PDF). Department of Trade and Industry Consumer and Competition Policy Directorate. p. 17. Archived from the original (PDF) on 2013-05-01. Retrieved 2021-09-29.
  6. "A Paper Sizes - A0, A1, A2, A3, A4, A5, A6, A7, A8, A9, A10". Archived from the original on 2016-10-29. Retrieved 2017-01-25.
  7. "B Paper Sizes - B0, B1, B2, B3, B4, B5, B6, B7, B8, B9, B10". Archived from the original on 2016-12-04. Retrieved 2017-01-25.
  8. "Envelope Sizes - ISO C Series & DL Envelopes". Archived from the original on 2016-12-04. Retrieved 2017-01-25.
  9. "Papper—Formatserier A-G". Svensk standard SS 01 47 11 Utgåva 2. Swedish Standards Institute. Page 2 Figur 1 - Serieformaten exemplifierade. Archived from the original on 2013-11-01. Retrieved 2019-12-25.(subscription required)
  10. "Typography and readability – a guideline" (PDF). Karolinska University Press. Archived from the original (PDF) on 2013-11-01. Retrieved 2012-10-19.
  11. Barber, Dave (2012-05-08). "International paper sizes. A, B, C and D series". Archived from the original on 2014-07-01.
  12. "国家标准 | GB/T 148-1997". Standardization Administration of China. 1997-05-26. Archived from the original on 2017-04-13. Retrieved 2017-04-13.
  13. SP 46 (2003): Engineering Drawing Practice for Schools and Colleges (PDF). Bureau of Indian Standards. Jul 2003. ISBN   81-7061-019-2. Archived (PDF) from the original on 2023-09-09.
  14. Митяев, К. Г. (1946). "Теория и практика архивного дела" [Theory and practice of archiving](PDF). Archived from the original (PDF) on 2020-02-08. Retrieved 2022-07-15.
  15. "Formaty" Форматы [Formats]. Мир Сварки (in Russian). Archived from the original on 2017-12-02. Retrieved 2017-12-02.
  16. "Formaty (ESKD GOST 2.301-68)" Форматы (ЕСКД ГОСТ 2.301-68) [Formats]. Единая Система Конструкторской Документации (in Russian). Archived from the original on 2016-12-01. Retrieved 2017-12-02.
  17. "ISO 5457:1999". ISO.
  18. Apple iTunes Store (2019). "Music Digital Booklet Profile". iTunes Video and Audio Asset Guide.
  19. "CAN2-200.2-M79: "Common Image Area for Paper Sizes P4 and A4"". 1979-04-01. Archived from the original on 2017-09-07. (NB. Withdrawn 1 March 2012.)
  20. Wilhelm Ostwald (1911-10-18). "Die Weltformate: I. Für Drucksachen". Börsenblatt für den Deutschen Buchhandel . No. 243. Ansbach: Seybold. p. 12330. OCLC   255038683.
  21. Karl Wilhelm Bührer (1912). Raumnot und Weltformat: Schriften über Die Brücke. Vol. Band 2. München / Ansbach: Seybold. OCLC   253384402.
  22. APG|SGA: Templates and specifications
  23. Consuegra, David (1992). En busca del cuadrado. Bogotá: Editorial Universidad Nacional de Colombia. pp. 84–85. ISBN   9789581700882 . Retrieved 2023-04-19.
  24. 1 2 3 4 5 6 7 8 9 10 11 12 13 "IEEE-ISTO PWG 5101.1-2013 "PWG Media Standardized Names 2.0"" (PDF). Alt URL
  25. 1 2 Adobe Systems Incorporated (1996-02-09). "PostScript Printer Description File Format Specification" (PDF) (4.3 ed.). San Jose, California. p. 191. Archived from the original (PDF) on 2008-07-23. Retrieved 2008-03-06.[ better source needed ]
  26. "Government Legal Size". mainthebest.
  27. 1 2 "Why is the standard paper size in the U.S. 8 1/2" x 11"?". American Forest and Paper Association. Archived from the original on 2012-02-20. Retrieved 2009-08-04.
  28. "Junior Legal Paper Size". Dimensions Guide. Archived from the original on 2010-07-04. Retrieved 2010-02-21.
  29. Fyffe, Charles (1969). Basic Copyfitting. London: Studio Vista. p. 74. ISBN   978-0-289-79705-1.
  30. "Armada mil". Archived from the original on 2011-05-24. Retrieved 2010-12-12.
  31. de Leon, Rally. "Request for inclusion of Page Size 8.5"×13"" . Retrieved 2008-08-11.
  32. Kuhn, Markus. "International standard paper sizes". Archived from the original on 2008-01-15. Retrieved 2008-03-06.
  33. Canadian custom paper size standards
    NumberTitleOriginal CAN2 releaseCAN/CGSB replacementWithdrawal
    9.60Paper Sizes for Correspondence 1976-04 1994-07 2012-04
    9.61Paper Sizes for Printing 1976-04 1994-07
    9.62Paper Sizes for Single Part Continuous Business Forms 1981-12 1994-07
    9.64Drawing Sheet Sizes 1979-04 1994-07
    200.2Common Image Area for Paper Sizes P4 and A4 1979-04 2012-03
  34. "Technical drawing paper sizes in the United States". Archived from the original on 2016-10-08. at sizes.com
  35. "Maximum Image Area for printing at Horizon Publications". Horizon Publications. Archived from the original on 2008-10-09. Retrieved 2009-08-28.
  36. "Section 6.3.2: Postcard Dimensions". DMM 101: Physical Standards. United States Postal Service. Archived from the original on 2014-04-26. Retrieved 2014-04-26.
  37. "Filofax". Archived from the original on 2010-09-27.
  38. "Franklin Planner". Archived from the original on 2018-08-01. Retrieved 2019-04-28.
  39. "Paper Grain & Smoothness: Don't Go Against the Grain". Xerox Corp. Archived from the original on 2013-04-25. Retrieved 2013-05-10. A paper mill may indicate paper grain on carton and ream labels, product brochures, swatch books and price lists in several ways:
    1. You may see the words Grain Long or Grain Short.
    2. The dimension parallel to the grain may be underscored. For example, 8.5x11 indicates long grain, while 11x17 indicates short grain.
    3. "M" may be used to indicate machine direction, for example, 11Mx17 indicates short grain.
    Fold paper parallel to the grain direction. Paper folded against the grain may be rough and crack along the folded edge. The heavier the paper, the more likely roughness and cracking will occur.
  40. "British Imperial Paper Sizes". PaperSizes.org. Retrieved 2022-08-08.
  41. "British Imperial Paper Sizes". PaperSizes.org. Retrieved 2023-01-16.
  42. Norme NF Q 02-000: Dimensions des papiers d'écriture et de certaines catégories de papiers d'impression (in French). Association française de normalisation.
  43. "AIGLE: Définition de AIGLE" (in French). Centre national de ressources textuelles et lexicales (CNRTL). Archived from the original on 2015-05-22. Retrieved 2015-05-22.
  44. "L'origine des noms de papier" (in French). Archived from the original on 2006-03-19.
  45. "Press web". Naa.org. Archived from the original on 2008-07-04. Retrieved 2010-12-12.

Further reading