{
  "name": "Paper dimensions and geometric fit scales",
  "version": 1,
  "description": "Nominal A0–A6, US Letter and US Legal dimensions, derived unit conversions, 300 PPI pixel dimensions, 80 gsm sheet masses, and an 81-pair portrait fit-scale matrix.",
  "provenance": [
    "https://www.iso.org/standard/36631.html",
    "https://www.adobe.com/uk/creativecloud/design/discover/a0-format.html",
    "https://www.adobe.com/acrobat/business/hub/formatting-legal-documents.html"
  ],
  "method": {
    "millimetres_per_inch": 25.4,
    "pixels": "Round physical inches × PPI to the nearest integer.",
    "mass": "width_mm × height_mm / 1,000,000 × gsm",
    "scaling": "100 × min(target_width / source_width, target_height / source_height)",
    "assumptions": "Nominal rectangular formats; portrait orientation; no printer margins, bleed, trimming or tolerances."
  },
  "formats": [
    {
      "name": "A0",
      "width_mm": 841,
      "height_mm": 1189,
      "width_in": 33.110236,
      "height_in": 46.811024,
      "area_m2": 0.999949,
      "mass_80gsm_g": 79.99592,
      "width_300ppi_px": 9933,
      "height_300ppi_px": 14043
    },
    {
      "name": "A1",
      "width_mm": 594,
      "height_mm": 841,
      "width_in": 23.385827,
      "height_in": 33.110236,
      "area_m2": 0.499554,
      "mass_80gsm_g": 39.96432,
      "width_300ppi_px": 7016,
      "height_300ppi_px": 9933
    },
    {
      "name": "A2",
      "width_mm": 420,
      "height_mm": 594,
      "width_in": 16.535433,
      "height_in": 23.385827,
      "area_m2": 0.24948,
      "mass_80gsm_g": 19.9584,
      "width_300ppi_px": 4961,
      "height_300ppi_px": 7016
    },
    {
      "name": "A3",
      "width_mm": 297,
      "height_mm": 420,
      "width_in": 11.692913,
      "height_in": 16.535433,
      "area_m2": 0.12474,
      "mass_80gsm_g": 9.9792,
      "width_300ppi_px": 3508,
      "height_300ppi_px": 4961
    },
    {
      "name": "A4",
      "width_mm": 210,
      "height_mm": 297,
      "width_in": 8.267717,
      "height_in": 11.692913,
      "area_m2": 0.06237,
      "mass_80gsm_g": 4.9896,
      "width_300ppi_px": 2480,
      "height_300ppi_px": 3508
    },
    {
      "name": "A5",
      "width_mm": 148,
      "height_mm": 210,
      "width_in": 5.826772,
      "height_in": 8.267717,
      "area_m2": 0.03108,
      "mass_80gsm_g": 2.4864,
      "width_300ppi_px": 1748,
      "height_300ppi_px": 2480
    },
    {
      "name": "A6",
      "width_mm": 105,
      "height_mm": 148,
      "width_in": 4.133858,
      "height_in": 5.826772,
      "area_m2": 0.01554,
      "mass_80gsm_g": 1.2432,
      "width_300ppi_px": 1240,
      "height_300ppi_px": 1748
    },
    {
      "name": "US Letter",
      "width_mm": 215.9,
      "height_mm": 279.4,
      "width_in": 8.5,
      "height_in": 11,
      "area_m2": 0.06032246,
      "mass_80gsm_g": 4.825797,
      "width_300ppi_px": 2550,
      "height_300ppi_px": 3300
    },
    {
      "name": "US Legal",
      "width_mm": 215.9,
      "height_mm": 355.6,
      "width_in": 8.5,
      "height_in": 14,
      "area_m2": 0.07677404,
      "mass_80gsm_g": 6.141923,
      "width_300ppi_px": 2550,
      "height_300ppi_px": 4200
    }
  ],
  "scales": [
    {
      "from": "A0",
      "to": "A0",
      "fit_percent": 100,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A0",
      "to": "A1",
      "fit_percent": 70.630202,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A0",
      "to": "A2",
      "fit_percent": 49.940547,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A0",
      "to": "A3",
      "fit_percent": 35.315101,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A0",
      "to": "A4",
      "fit_percent": 24.970273,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A0",
      "to": "A5",
      "fit_percent": 17.598098,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A0",
      "to": "A6",
      "fit_percent": 12.447435,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A0",
      "to": "US Letter",
      "fit_percent": 23.498738,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A0",
      "to": "US Legal",
      "fit_percent": 25.671819,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A1",
      "to": "A0",
      "fit_percent": 141.37931,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A1",
      "to": "A1",
      "fit_percent": 100,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A1",
      "to": "A2",
      "fit_percent": 70.630202,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A1",
      "to": "A3",
      "fit_percent": 49.940547,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A1",
      "to": "A4",
      "fit_percent": 35.315101,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A1",
      "to": "A5",
      "fit_percent": 24.915825,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A1",
      "to": "A6",
      "fit_percent": 17.598098,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A1",
      "to": "US Letter",
      "fit_percent": 33.222354,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A1",
      "to": "US Legal",
      "fit_percent": 36.346801,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A2",
      "to": "A0",
      "fit_percent": 200.16835,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A2",
      "to": "A1",
      "fit_percent": 141.428571,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A2",
      "to": "A2",
      "fit_percent": 100,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A2",
      "to": "A3",
      "fit_percent": 70.707071,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A2",
      "to": "A4",
      "fit_percent": 50,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A2",
      "to": "A5",
      "fit_percent": 35.238095,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A2",
      "to": "A6",
      "fit_percent": 24.915825,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A2",
      "to": "US Letter",
      "fit_percent": 47.037037,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A2",
      "to": "US Legal",
      "fit_percent": 51.404762,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A3",
      "to": "A0",
      "fit_percent": 283.095238,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A3",
      "to": "A1",
      "fit_percent": 200,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A3",
      "to": "A2",
      "fit_percent": 141.414141,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A3",
      "to": "A3",
      "fit_percent": 100,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A3",
      "to": "A4",
      "fit_percent": 70.707071,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A3",
      "to": "A5",
      "fit_percent": 49.83165,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A3",
      "to": "A6",
      "fit_percent": 35.238095,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A3",
      "to": "US Letter",
      "fit_percent": 66.52381,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A3",
      "to": "US Legal",
      "fit_percent": 72.693603,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A4",
      "to": "A0",
      "fit_percent": 400.3367,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A4",
      "to": "A1",
      "fit_percent": 282.857143,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A4",
      "to": "A2",
      "fit_percent": 200,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A4",
      "to": "A3",
      "fit_percent": 141.414141,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A4",
      "to": "A4",
      "fit_percent": 100,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A4",
      "to": "A5",
      "fit_percent": 70.47619,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A4",
      "to": "A6",
      "fit_percent": 49.83165,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A4",
      "to": "US Letter",
      "fit_percent": 94.074074,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A4",
      "to": "US Legal",
      "fit_percent": 102.809524,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A5",
      "to": "A0",
      "fit_percent": 566.190476,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A5",
      "to": "A1",
      "fit_percent": 400.47619,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A5",
      "to": "A2",
      "fit_percent": 282.857143,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A5",
      "to": "A3",
      "fit_percent": 200,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A5",
      "to": "A4",
      "fit_percent": 141.428571,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A5",
      "to": "A5",
      "fit_percent": 100,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A5",
      "to": "A6",
      "fit_percent": 70.47619,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A5",
      "to": "US Letter",
      "fit_percent": 133.047619,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A5",
      "to": "US Legal",
      "fit_percent": 145.878378,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A6",
      "to": "A0",
      "fit_percent": 800.952381,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A6",
      "to": "A1",
      "fit_percent": 565.714286,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A6",
      "to": "A2",
      "fit_percent": 400,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A6",
      "to": "A3",
      "fit_percent": 282.857143,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A6",
      "to": "A4",
      "fit_percent": 200,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A6",
      "to": "A5",
      "fit_percent": 140.952381,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A6",
      "to": "A6",
      "fit_percent": 100,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A6",
      "to": "US Letter",
      "fit_percent": 188.783784,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "A6",
      "to": "US Legal",
      "fit_percent": 205.619048,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Letter",
      "to": "A0",
      "fit_percent": 389.532191,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Letter",
      "to": "A1",
      "fit_percent": 275.127374,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Letter",
      "to": "A2",
      "fit_percent": 194.534507,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Letter",
      "to": "A3",
      "fit_percent": 137.563687,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Letter",
      "to": "A4",
      "fit_percent": 97.267253,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Letter",
      "to": "A5",
      "fit_percent": 68.550255,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Letter",
      "to": "A6",
      "fit_percent": 48.633627,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Letter",
      "to": "US Letter",
      "fit_percent": 100,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Letter",
      "to": "US Legal",
      "fit_percent": 100,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Legal",
      "to": "A0",
      "fit_percent": 334.364454,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Legal",
      "to": "A1",
      "fit_percent": 236.501687,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Legal",
      "to": "A2",
      "fit_percent": 167.04162,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Legal",
      "to": "A3",
      "fit_percent": 118.110236,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Legal",
      "to": "A4",
      "fit_percent": 83.52081,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Legal",
      "to": "A5",
      "fit_percent": 59.055118,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Legal",
      "to": "A6",
      "fit_percent": 41.619798,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Legal",
      "to": "US Letter",
      "fit_percent": 78.571429,
      "orientation": "portrait",
      "printer_margins_included": false
    },
    {
      "from": "US Legal",
      "to": "US Legal",
      "fit_percent": 100,
      "orientation": "portrait",
      "printer_margins_included": false
    }
  ]
}