The international standard for paper sizes, ISO 216 (e.g., A4, A3), is based on the square root of 2. The aspect ratio of every sheet is [latex]1:\sqrt{2}[/latex]. This unique property means that when a sheet is cut or folded in half parallel to its shorter sides, the resulting two smaller sheets have the exact same [latex]1:\sqrt{2}[/latex] aspect ratio as the original.

















