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Paper sizes

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My boyfriend and I went to a printing shop last month and saw a poster with different paper sizes, from A0 to A8. What do these numbers mean and how are they defined? Definition of A-series paper sizes The A-series paper follows the ISO 216 standard of writing paper and certain classes of printed matter. There are three main requirements: The length divided by the width (aspect ratio) is 1.4142 (√2). The A0 size has an area of 1 square meter. Each subsequent size is defined as the previous size cuts in half parallel to its shorter side. For instance, A1 has half of the area of A0 and it can be created by folding an A0 paper parallel to its shorter side. The dimension of an A0 paper is 841 mm x 1,189 mm to the nearest millimetre. An A1 paper has a  dimension of 594 mm x 841 mm. The image below compares different paper sizes in the A series. Image from Wikipedia The magic root 2 An advantage of the A-series paper is that it can be up/down scaled to other A-series sizes without any di...