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ruzuzu commented on the word Lichtenberg ratio
"In 1786, the German scientist Georg Christoph Lichtenberg described the advantages of basing a paper size on an aspect ratio of √2 in a letter to Johann Beckmann. The formats that became ISO paper sizes A2, A3, B3, B4, and B5 were developed in France. They were listed in a 1798 law on taxation of publications that was based in part on page sizes.
The main advantage of this system is its scaling. Rectangular paper with an aspect ratio of √2 has the unique property that, when cut or folded in half midway between its shorter sides, each half has the same √2 aspect ratio and half the area of the whole sheet before it was divided. Equivalently, if one lays two same-sized sheets paper with an aspect ratio of √2 side-by-side along their longer side, they form a larger rectangle with the aspect ratio of √2 and double the area of each individual sheet."
-- https://en.wikipedia.org/w/index.php?title=ISO_216&oldid=836238841
July 25, 2018