{
  "version": 1,
  "kind": "constructed-geometric-reference",
  "author": "Paper & Scale",
  "assumptions": [
    "All dimensions are millimetres.",
    "Tiles form a top-left-anchored uniform grid with repeated overlap.",
    "Automatic selection compares uniform portrait and landscape grids, not mixed-orientation arrangements.",
    "Margins are assumptions supplied by the user, not measurements of a printer.",
    "No physical printing results or search outcomes are claimed."
  ],
  "cases": [
    {
      "id": "a3-landscape-no-allowances",
      "name": "A3 landscape, no allowances",
      "inputs": {
        "widthMm": 420,
        "heightMm": 297,
        "paper": "a4",
        "orientation": "auto",
        "marginMm": 0,
        "overlapMm": 0
      },
      "result": {
        "inputs": {
          "widthMm": 420,
          "heightMm": 297,
          "paper": "a4",
          "orientation": "auto",
          "marginMm": 0,
          "overlapMm": 0
        },
        "widthMm": 420,
        "heightMm": 297,
        "art": {
          "width": 420,
          "height": 297
        },
        "paper": "a4",
        "paperName": "A4",
        "requestedOrientation": "auto",
        "marginMm": 0,
        "overlapMm": 0,
        "orientation": "portrait",
        "sheet": {
          "width": 210,
          "height": 297
        },
        "printable": {
          "width": 210,
          "height": 297
        },
        "usable": {
          "width": 210,
          "height": 297
        },
        "stride": {
          "x": 210,
          "y": 297
        },
        "cols": 2,
        "rows": 1,
        "pageCount": 2,
        "sheetCount": 2,
        "coverage": {
          "width": 420,
          "height": 297
        },
        "comparisons": {
          "portrait": {
            "orientation": "portrait",
            "sheet": {
              "width": 210,
              "height": 297
            },
            "printable": {
              "width": 210,
              "height": 297
            },
            "usable": {
              "width": 210,
              "height": 297
            },
            "stride": {
              "x": 210,
              "y": 297
            },
            "cols": 2,
            "rows": 1,
            "pageCount": 2,
            "sheetCount": 2,
            "coverage": {
              "width": 420,
              "height": 297
            }
          },
          "landscape": {
            "orientation": "landscape",
            "sheet": {
              "width": 297,
              "height": 210
            },
            "printable": {
              "width": 297,
              "height": 210
            },
            "usable": {
              "width": 297,
              "height": 210
            },
            "stride": {
              "x": 297,
              "y": 210
            },
            "cols": 2,
            "rows": 2,
            "pageCount": 4,
            "sheetCount": 4,
            "coverage": {
              "width": 594,
              "height": 420
            }
          }
        },
        "alternatives": {
          "portrait": {
            "orientation": "portrait",
            "sheet": {
              "width": 210,
              "height": 297
            },
            "printable": {
              "width": 210,
              "height": 297
            },
            "usable": {
              "width": 210,
              "height": 297
            },
            "stride": {
              "x": 210,
              "y": 297
            },
            "cols": 2,
            "rows": 1,
            "pageCount": 2,
            "sheetCount": 2,
            "coverage": {
              "width": 420,
              "height": 297
            }
          },
          "landscape": {
            "orientation": "landscape",
            "sheet": {
              "width": 297,
              "height": 210
            },
            "printable": {
              "width": 297,
              "height": 210
            },
            "usable": {
              "width": 297,
              "height": 210
            },
            "stride": {
              "x": 297,
              "y": 210
            },
            "cols": 2,
            "rows": 2,
            "pageCount": 4,
            "sheetCount": 4,
            "coverage": {
              "width": 594,
              "height": 420
            }
          }
        },
        "tiles": [
          {
            "index": 1,
            "row": 0,
            "col": 0,
            "column": 0,
            "x": 0,
            "y": 0,
            "width": 210,
            "height": 297
          },
          {
            "index": 2,
            "row": 0,
            "col": 1,
            "column": 1,
            "x": 210,
            "y": 0,
            "width": 210,
            "height": 297
          }
        ],
        "warnings": [
          "Margins below 4 mm suppress PDF sheet labels and cut marks. Actual printer margins are not detected.",
          "Zero overlap leaves no duplicated artwork for aligning neighbouring sheets."
        ],
        "method": "Top-left anchored regular grid; auto compares two uniform sheet orientations and chooses portrait on a tie. No arbitrary-packing optimum is claimed."
      }
    },
    {
      "id": "a3-landscape-overlap",
      "name": "A3 landscape, 5 mm margins and 10 mm overlap",
      "inputs": {
        "widthMm": 420,
        "heightMm": 297,
        "paper": "a4",
        "orientation": "auto",
        "marginMm": 5,
        "overlapMm": 10
      },
      "result": {
        "inputs": {
          "widthMm": 420,
          "heightMm": 297,
          "paper": "a4",
          "orientation": "auto",
          "marginMm": 5,
          "overlapMm": 10
        },
        "widthMm": 420,
        "heightMm": 297,
        "art": {
          "width": 420,
          "height": 297
        },
        "paper": "a4",
        "paperName": "A4",
        "requestedOrientation": "auto",
        "marginMm": 5,
        "overlapMm": 10,
        "orientation": "landscape",
        "sheet": {
          "width": 297,
          "height": 210
        },
        "printable": {
          "width": 287,
          "height": 200
        },
        "usable": {
          "width": 287,
          "height": 200
        },
        "stride": {
          "x": 277,
          "y": 190
        },
        "cols": 2,
        "rows": 2,
        "pageCount": 4,
        "sheetCount": 4,
        "coverage": {
          "width": 564,
          "height": 390
        },
        "comparisons": {
          "portrait": {
            "orientation": "portrait",
            "sheet": {
              "width": 210,
              "height": 297
            },
            "printable": {
              "width": 200,
              "height": 287
            },
            "usable": {
              "width": 200,
              "height": 287
            },
            "stride": {
              "x": 190,
              "y": 277
            },
            "cols": 3,
            "rows": 2,
            "pageCount": 6,
            "sheetCount": 6,
            "coverage": {
              "width": 580,
              "height": 564
            }
          },
          "landscape": {
            "orientation": "landscape",
            "sheet": {
              "width": 297,
              "height": 210
            },
            "printable": {
              "width": 287,
              "height": 200
            },
            "usable": {
              "width": 287,
              "height": 200
            },
            "stride": {
              "x": 277,
              "y": 190
            },
            "cols": 2,
            "rows": 2,
            "pageCount": 4,
            "sheetCount": 4,
            "coverage": {
              "width": 564,
              "height": 390
            }
          }
        },
        "alternatives": {
          "portrait": {
            "orientation": "portrait",
            "sheet": {
              "width": 210,
              "height": 297
            },
            "printable": {
              "width": 200,
              "height": 287
            },
            "usable": {
              "width": 200,
              "height": 287
            },
            "stride": {
              "x": 190,
              "y": 277
            },
            "cols": 3,
            "rows": 2,
            "pageCount": 6,
            "sheetCount": 6,
            "coverage": {
              "width": 580,
              "height": 564
            }
          },
          "landscape": {
            "orientation": "landscape",
            "sheet": {
              "width": 297,
              "height": 210
            },
            "printable": {
              "width": 287,
              "height": 200
            },
            "usable": {
              "width": 287,
              "height": 200
            },
            "stride": {
              "x": 277,
              "y": 190
            },
            "cols": 2,
            "rows": 2,
            "pageCount": 4,
            "sheetCount": 4,
            "coverage": {
              "width": 564,
              "height": 390
            }
          }
        },
        "tiles": [
          {
            "index": 1,
            "row": 0,
            "col": 0,
            "column": 0,
            "x": 0,
            "y": 0,
            "width": 287,
            "height": 200
          },
          {
            "index": 2,
            "row": 0,
            "col": 1,
            "column": 1,
            "x": 277,
            "y": 0,
            "width": 143,
            "height": 200
          },
          {
            "index": 3,
            "row": 1,
            "col": 0,
            "column": 0,
            "x": 0,
            "y": 190,
            "width": 287,
            "height": 107
          },
          {
            "index": 4,
            "row": 1,
            "col": 1,
            "column": 1,
            "x": 277,
            "y": 190,
            "width": 143,
            "height": 107
          }
        ],
        "warnings": [],
        "method": "Top-left anchored regular grid; auto compares two uniform sheet orientations and chooses portrait on a tie. No arbitrary-packing optimum is claimed."
      }
    },
    {
      "id": "a3-portrait-overlap",
      "name": "A3 portrait, 5 mm margins and 10 mm overlap",
      "inputs": {
        "widthMm": 297,
        "heightMm": 420,
        "paper": "a4",
        "orientation": "auto",
        "marginMm": 5,
        "overlapMm": 10
      },
      "result": {
        "inputs": {
          "widthMm": 297,
          "heightMm": 420,
          "paper": "a4",
          "orientation": "auto",
          "marginMm": 5,
          "overlapMm": 10
        },
        "widthMm": 297,
        "heightMm": 420,
        "art": {
          "width": 297,
          "height": 420
        },
        "paper": "a4",
        "paperName": "A4",
        "requestedOrientation": "auto",
        "marginMm": 5,
        "overlapMm": 10,
        "orientation": "portrait",
        "sheet": {
          "width": 210,
          "height": 297
        },
        "printable": {
          "width": 200,
          "height": 287
        },
        "usable": {
          "width": 200,
          "height": 287
        },
        "stride": {
          "x": 190,
          "y": 277
        },
        "cols": 2,
        "rows": 2,
        "pageCount": 4,
        "sheetCount": 4,
        "coverage": {
          "width": 390,
          "height": 564
        },
        "comparisons": {
          "portrait": {
            "orientation": "portrait",
            "sheet": {
              "width": 210,
              "height": 297
            },
            "printable": {
              "width": 200,
              "height": 287
            },
            "usable": {
              "width": 200,
              "height": 287
            },
            "stride": {
              "x": 190,
              "y": 277
            },
            "cols": 2,
            "rows": 2,
            "pageCount": 4,
            "sheetCount": 4,
            "coverage": {
              "width": 390,
              "height": 564
            }
          },
          "landscape": {
            "orientation": "landscape",
            "sheet": {
              "width": 297,
              "height": 210
            },
            "printable": {
              "width": 287,
              "height": 200
            },
            "usable": {
              "width": 287,
              "height": 200
            },
            "stride": {
              "x": 277,
              "y": 190
            },
            "cols": 2,
            "rows": 3,
            "pageCount": 6,
            "sheetCount": 6,
            "coverage": {
              "width": 564,
              "height": 580
            }
          }
        },
        "alternatives": {
          "portrait": {
            "orientation": "portrait",
            "sheet": {
              "width": 210,
              "height": 297
            },
            "printable": {
              "width": 200,
              "height": 287
            },
            "usable": {
              "width": 200,
              "height": 287
            },
            "stride": {
              "x": 190,
              "y": 277
            },
            "cols": 2,
            "rows": 2,
            "pageCount": 4,
            "sheetCount": 4,
            "coverage": {
              "width": 390,
              "height": 564
            }
          },
          "landscape": {
            "orientation": "landscape",
            "sheet": {
              "width": 297,
              "height": 210
            },
            "printable": {
              "width": 287,
              "height": 200
            },
            "usable": {
              "width": 287,
              "height": 200
            },
            "stride": {
              "x": 277,
              "y": 190
            },
            "cols": 2,
            "rows": 3,
            "pageCount": 6,
            "sheetCount": 6,
            "coverage": {
              "width": 564,
              "height": 580
            }
          }
        },
        "tiles": [
          {
            "index": 1,
            "row": 0,
            "col": 0,
            "column": 0,
            "x": 0,
            "y": 0,
            "width": 200,
            "height": 287
          },
          {
            "index": 2,
            "row": 0,
            "col": 1,
            "column": 1,
            "x": 190,
            "y": 0,
            "width": 107,
            "height": 287
          },
          {
            "index": 3,
            "row": 1,
            "col": 0,
            "column": 0,
            "x": 0,
            "y": 277,
            "width": 200,
            "height": 143
          },
          {
            "index": 4,
            "row": 1,
            "col": 1,
            "column": 1,
            "x": 190,
            "y": 277,
            "width": 107,
            "height": 143
          }
        ],
        "warnings": [],
        "method": "Top-left anchored regular grid; auto compares two uniform sheet orientations and chooses portrait on a tie. No arbitrary-packing optimum is claimed."
      }
    },
    {
      "id": "a2-portrait-overlap",
      "name": "A2 portrait, 5 mm margins and 10 mm overlap",
      "inputs": {
        "widthMm": 420,
        "heightMm": 594,
        "paper": "a4",
        "orientation": "auto",
        "marginMm": 5,
        "overlapMm": 10
      },
      "result": {
        "inputs": {
          "widthMm": 420,
          "heightMm": 594,
          "paper": "a4",
          "orientation": "auto",
          "marginMm": 5,
          "overlapMm": 10
        },
        "widthMm": 420,
        "heightMm": 594,
        "art": {
          "width": 420,
          "height": 594
        },
        "paper": "a4",
        "paperName": "A4",
        "requestedOrientation": "auto",
        "marginMm": 5,
        "overlapMm": 10,
        "orientation": "landscape",
        "sheet": {
          "width": 297,
          "height": 210
        },
        "printable": {
          "width": 287,
          "height": 200
        },
        "usable": {
          "width": 287,
          "height": 200
        },
        "stride": {
          "x": 277,
          "y": 190
        },
        "cols": 2,
        "rows": 4,
        "pageCount": 8,
        "sheetCount": 8,
        "coverage": {
          "width": 564,
          "height": 770
        },
        "comparisons": {
          "portrait": {
            "orientation": "portrait",
            "sheet": {
              "width": 210,
              "height": 297
            },
            "printable": {
              "width": 200,
              "height": 287
            },
            "usable": {
              "width": 200,
              "height": 287
            },
            "stride": {
              "x": 190,
              "y": 277
            },
            "cols": 3,
            "rows": 3,
            "pageCount": 9,
            "sheetCount": 9,
            "coverage": {
              "width": 580,
              "height": 841
            }
          },
          "landscape": {
            "orientation": "landscape",
            "sheet": {
              "width": 297,
              "height": 210
            },
            "printable": {
              "width": 287,
              "height": 200
            },
            "usable": {
              "width": 287,
              "height": 200
            },
            "stride": {
              "x": 277,
              "y": 190
            },
            "cols": 2,
            "rows": 4,
            "pageCount": 8,
            "sheetCount": 8,
            "coverage": {
              "width": 564,
              "height": 770
            }
          }
        },
        "alternatives": {
          "portrait": {
            "orientation": "portrait",
            "sheet": {
              "width": 210,
              "height": 297
            },
            "printable": {
              "width": 200,
              "height": 287
            },
            "usable": {
              "width": 200,
              "height": 287
            },
            "stride": {
              "x": 190,
              "y": 277
            },
            "cols": 3,
            "rows": 3,
            "pageCount": 9,
            "sheetCount": 9,
            "coverage": {
              "width": 580,
              "height": 841
            }
          },
          "landscape": {
            "orientation": "landscape",
            "sheet": {
              "width": 297,
              "height": 210
            },
            "printable": {
              "width": 287,
              "height": 200
            },
            "usable": {
              "width": 287,
              "height": 200
            },
            "stride": {
              "x": 277,
              "y": 190
            },
            "cols": 2,
            "rows": 4,
            "pageCount": 8,
            "sheetCount": 8,
            "coverage": {
              "width": 564,
              "height": 770
            }
          }
        },
        "tiles": [
          {
            "index": 1,
            "row": 0,
            "col": 0,
            "column": 0,
            "x": 0,
            "y": 0,
            "width": 287,
            "height": 200
          },
          {
            "index": 2,
            "row": 0,
            "col": 1,
            "column": 1,
            "x": 277,
            "y": 0,
            "width": 143,
            "height": 200
          },
          {
            "index": 3,
            "row": 1,
            "col": 0,
            "column": 0,
            "x": 0,
            "y": 190,
            "width": 287,
            "height": 200
          },
          {
            "index": 4,
            "row": 1,
            "col": 1,
            "column": 1,
            "x": 277,
            "y": 190,
            "width": 143,
            "height": 200
          },
          {
            "index": 5,
            "row": 2,
            "col": 0,
            "column": 0,
            "x": 0,
            "y": 380,
            "width": 287,
            "height": 200
          },
          {
            "index": 6,
            "row": 2,
            "col": 1,
            "column": 1,
            "x": 277,
            "y": 380,
            "width": 143,
            "height": 200
          },
          {
            "index": 7,
            "row": 3,
            "col": 0,
            "column": 0,
            "x": 0,
            "y": 570,
            "width": 287,
            "height": 24
          },
          {
            "index": 8,
            "row": 3,
            "col": 1,
            "column": 1,
            "x": 277,
            "y": 570,
            "width": 143,
            "height": 24
          }
        ],
        "warnings": [],
        "method": "Top-left anchored regular grid; auto compares two uniform sheet orientations and chooses portrait on a tie. No arbitrary-packing optimum is claimed."
      }
    },
    {
      "id": "custom-600-400",
      "name": "600 × 400 mm poster with allowances",
      "inputs": {
        "widthMm": 600,
        "heightMm": 400,
        "paper": "a4",
        "orientation": "auto",
        "marginMm": 5,
        "overlapMm": 10
      },
      "result": {
        "inputs": {
          "widthMm": 600,
          "heightMm": 400,
          "paper": "a4",
          "orientation": "auto",
          "marginMm": 5,
          "overlapMm": 10
        },
        "widthMm": 600,
        "heightMm": 400,
        "art": {
          "width": 600,
          "height": 400
        },
        "paper": "a4",
        "paperName": "A4",
        "requestedOrientation": "auto",
        "marginMm": 5,
        "overlapMm": 10,
        "orientation": "portrait",
        "sheet": {
          "width": 210,
          "height": 297
        },
        "printable": {
          "width": 200,
          "height": 287
        },
        "usable": {
          "width": 200,
          "height": 287
        },
        "stride": {
          "x": 190,
          "y": 277
        },
        "cols": 4,
        "rows": 2,
        "pageCount": 8,
        "sheetCount": 8,
        "coverage": {
          "width": 770,
          "height": 564
        },
        "comparisons": {
          "portrait": {
            "orientation": "portrait",
            "sheet": {
              "width": 210,
              "height": 297
            },
            "printable": {
              "width": 200,
              "height": 287
            },
            "usable": {
              "width": 200,
              "height": 287
            },
            "stride": {
              "x": 190,
              "y": 277
            },
            "cols": 4,
            "rows": 2,
            "pageCount": 8,
            "sheetCount": 8,
            "coverage": {
              "width": 770,
              "height": 564
            }
          },
          "landscape": {
            "orientation": "landscape",
            "sheet": {
              "width": 297,
              "height": 210
            },
            "printable": {
              "width": 287,
              "height": 200
            },
            "usable": {
              "width": 287,
              "height": 200
            },
            "stride": {
              "x": 277,
              "y": 190
            },
            "cols": 3,
            "rows": 3,
            "pageCount": 9,
            "sheetCount": 9,
            "coverage": {
              "width": 841,
              "height": 580
            }
          }
        },
        "alternatives": {
          "portrait": {
            "orientation": "portrait",
            "sheet": {
              "width": 210,
              "height": 297
            },
            "printable": {
              "width": 200,
              "height": 287
            },
            "usable": {
              "width": 200,
              "height": 287
            },
            "stride": {
              "x": 190,
              "y": 277
            },
            "cols": 4,
            "rows": 2,
            "pageCount": 8,
            "sheetCount": 8,
            "coverage": {
              "width": 770,
              "height": 564
            }
          },
          "landscape": {
            "orientation": "landscape",
            "sheet": {
              "width": 297,
              "height": 210
            },
            "printable": {
              "width": 287,
              "height": 200
            },
            "usable": {
              "width": 287,
              "height": 200
            },
            "stride": {
              "x": 277,
              "y": 190
            },
            "cols": 3,
            "rows": 3,
            "pageCount": 9,
            "sheetCount": 9,
            "coverage": {
              "width": 841,
              "height": 580
            }
          }
        },
        "tiles": [
          {
            "index": 1,
            "row": 0,
            "col": 0,
            "column": 0,
            "x": 0,
            "y": 0,
            "width": 200,
            "height": 287
          },
          {
            "index": 2,
            "row": 0,
            "col": 1,
            "column": 1,
            "x": 190,
            "y": 0,
            "width": 200,
            "height": 287
          },
          {
            "index": 3,
            "row": 0,
            "col": 2,
            "column": 2,
            "x": 380,
            "y": 0,
            "width": 200,
            "height": 287
          },
          {
            "index": 4,
            "row": 0,
            "col": 3,
            "column": 3,
            "x": 570,
            "y": 0,
            "width": 30,
            "height": 287
          },
          {
            "index": 5,
            "row": 1,
            "col": 0,
            "column": 0,
            "x": 0,
            "y": 277,
            "width": 200,
            "height": 123
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          {
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            "row": 1,
            "col": 1,
            "column": 1,
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            "y": 277,
            "width": 200,
            "height": 123
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          {
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            "column": 2,
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            "index": 8,
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            "column": 3,
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            "width": 30,
            "height": 123
          }
        ],
        "warnings": [],
        "method": "Top-left anchored regular grid; auto compares two uniform sheet orientations and chooses portrait on a tie. No arbitrary-packing optimum is claimed."
      }
    },
    {
      "id": "letter-four-sheet",
      "name": "17 × 22 inch poster, no allowances",
      "inputs": {
        "widthMm": 431.8,
        "heightMm": 558.8,
        "paper": "letter",
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          "heightMm": 558.8,
          "paper": "letter",
          "orientation": "auto",
          "marginMm": 0,
          "overlapMm": 0
        },
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        "art": {
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        "orientation": "portrait",
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          "height": 279.4
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          "height": 279.4
        },
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        "rows": 2,
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        "sheetCount": 4,
        "coverage": {
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          "height": 558.8
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              "height": 279.4
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            "printable": {
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              "height": 279.4
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              "height": 279.4
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            "pageCount": 4,
            "sheetCount": 4,
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              "height": 558.8
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          },
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            "orientation": "landscape",
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              "height": 215.9
            },
            "printable": {
              "width": 279.4,
              "height": 215.9
            },
            "usable": {
              "width": 279.4,
              "height": 215.9
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            "stride": {
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              "y": 215.9
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            "sheetCount": 6,
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              "height": 647.7
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              "height": 647.7
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            "x": 0,
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          "Margins below 4 mm suppress PDF sheet labels and cut marks. Actual printer margins are not detected.",
          "Zero overlap leaves no duplicated artwork for aligning neighbouring sheets."
        ],
        "method": "Top-left anchored regular grid; auto compares two uniform sheet orientations and chooses portrait on a tie. No arbitrary-packing optimum is claimed."
      }
    }
  ],
  "proof": {
    "path": "/downloads/poster-a3-on-a4-proof.pdf",
    "pageCount": 4,
    "pageWidthMm": 297,
    "pageHeightMm": 210,
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    "sourceHeightMm": 297,
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    "sha256": "7e244229bb38fcadadaa478b3289b73017ba0886ac942138945c4bddfc147905",
    "evidence": "Authored and digitally verified geometry. Physical printing has not been measured."
  }
}