![]() ![]() When we attach such a paper with another article of the same dimensions along one of the larger sides, the newly formed more prominent paper also has an aspect ratio of √2:1.When we fold such a paper or cut precisely into two halves parallel to the two shorter sides, then the two newly created documents also have an aspect ratio of √2:1.The ISO 216 was formed based on the old German DIN 476 Standard which further references a letter by a scientist describing the specialties of the √2:1 aspect ratio. ![]() These properties help in easy resizing of all the ISO 216 Paper Sizes. Every size should have an aspect ratio of √2:1 in the C Series Envelope Sizes (to help with easy resizing).The ISO 216 Standard for C Series Envelope Sizes is formed of a few other rules. Any Size C(n) is defined as the geometric mean of the A(n) and B(n) Sizes.Thus, an A4 Size Paper when folded parallel to its shorter sides easily fits in a C5 Envelope and when wrapped again along the shorter sides will fit comfortably in a C6 Envelope because of the maintaining of aspect ratio √2:1. length of C(n) size = √ (length of A(n) size) × √ (length of B(n) size) and same for the breadth. ![]() As the aspect ratio is an irrational number the dimensions generally exceed the standard conventions and precision is hard to achieve.This makes the size C(n) an almost exact fit envelope for holding the unfolded sheet of paper of size A(n). For this reason, the sizes are always rounded off to the nearest millimeter. ![]()
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