{
  "version": "integer-circle-study-v1",
  "limitations": [
    "A computational comparison, not a speed benchmark, visual-quality ranking, gameplay experiment or survey.",
    "Integer centers and integer radii only. No even-sized center-gap grids, half-integer radii, antialiasing, ellipses, circles with r=0 or 3D shapes.",
    "Methods agree on center and radius but answer different raster questions. Boundary methods require selected centers inside the disk; midpoint may select centers outside it.",
    "The site's building generator uses radius D/2 and center (D-1)/2 in cell-index coordinates. A research case with width 2r+1 uses radius r, so an 11-cell research grid with r=5 is not the site's 11-block plan (radius 5.5).",
    "Original computations and disclosed implementation are not independent secondary reporting and do not establish Wikipedia source eligibility."
  ],
  "conflictOfInterest": "Published by the operator of a circle-building tool. No external review or affiliation with the cited authors is claimed."
}