This paper standard contains four series, because of its convenience, it was quickly adopted by other countries, and slowly evolved into the domestic standard ISO-216.
When Lichtenberg prepared to cut the paper for verification, he created the letter paper in his hand and himself was 1: √2, and the blue paper factory had created this mystery in practice.
It’s no accident that paper sizes are so “confusing,” and the roots of it all can be traced back to an 18th century class assignment. It was not until 1922 that the 1:√2 ratio of paper length to width came out again. In terms of the nature of human trouble, compared with the integer of 20, 30, it is convenient to double and use, why the size of A4 paper happens to be forced to death?
The “strange” size of A4 paper comes from the domestic paper size standard system ISO-216, which contains A, B, C 3 series, A4 is one of the most frequently operated. In terms of the nature of human trouble, compared with the integer of 20, 30, it is convenient to double and use, why the size of A4 paper happens to be forced to death?
If the ratio does not change after folding in half, the following equation can be listed:
In other words, the answer is that the side ratio of the paper is 1: √2.
At this moment, these three series and 33 sizes almost contract the total demand for paper in people’s general life.
The German physicist Lichtenberg, who was taught at the University of Gottingen at the time, asked his students to find such a piece of paper that could be folded in half, divided into four, eight, and 16 parts without changing the aspect ratio.
For example, if you want a piece of A3 paper, you just need to put together two pages of A4:
Conversely, to scale A3 to A4, simply adjust the magnification to 71% :
The ease of production and operation made 1: √2 slowly become the paper standard.
In 1798, France issued a new stamp law, which stipulated a set of document standards such as printing specifications, text signs, and paper sizes.
This ratio also facilitates scaling to produce prints of varying sizes.
Germany was rewarded for more efficient paper inventory and copy of documents, complying with 1:√2 drawing up a new paper standard DIN-476.
. In the paper size, except for the smallest number of documents, the rest are suitable for the ratio of 1: √2, and can be found in today’s prevailing domestic standards.
However, soon, with the political change of the French Revolution, this paper standard is also like a fleeting cloud of smoke, wiped out in history.
From the initial 0 paper, the area of A0 is fixed to 1 square meters, the width of B0 is 1m, and the area of C0 is the geometric uniform number of A0 and B0 areas. In the future, the paper size of each series numbered 1 to 10 complies with the principle of half reduction.
Like the plain A4 paper, many of the odd numbers may be hidden in the collective intelligence of humans.
ISO-216 has three series of ABC, the standard stipulates that the aspect ratio of all paper must be √2, the paper size of the different series is different, under the full section number, the paper area of type A is the smallest, type C is slightly larger, and type B is the largest. Large to posters, small to game cards, and even some German toilet paper is also used A6 size.
See here you will create, not A4 paper, all the size table is difficult to find a few whole ten whole hundred number. This seemingly awkward ratio is actually a lot of convenience.
A standard A4 piece of paper measures 21 cm x29.7 cm.
Take the A4 paper at hand, can you fold it to A? Reception PK in the comments section.
A standard A4 piece of paper measures 21 cm x29.7 cm.
In paper production, the aspect ratio of 1: √2 can prevent extravagance, for example, an A0 paper can be cut into 2 A1 sheets, 4 A2 sheets, 8 A3 sheets, 16 A4 sheets, and so on, the process will not flash any excess scraps