Garden Plant Spacing Planner mechanism

Model scope

The grid calculation can pass after defining row_spacing, units, boundary clearance, and input validation. The offset pattern requires a complete geometric formula or algorithm before the instrument can be verified as fully correct.

• The grid formula is valid only under the explicit convention that plant centers may be placed on both bed boundaries: floor(bed_length/spacing)+1 and floor(bed_width/row_spacing)+1.
• The input specification names one plant spacing requirement but the formula requires both spacing and row_spacing; it is ambiguous whether row_spacing equals plant spacing or is independently supplied.
• The offset-pattern rule is not a standard complete formula. Saying triangular packing gives approximately 15% more density does not define row spacing, horizontal offset, boundary handling, or the exact count, so its output is not reproducible.
• The formula does not account for required edge clearance, plant diameter, or whether spacing is a minimum center-to-center distance rather than an exact grid interval.
• The layout-diagram output has no specified data format or deterministic construction rules.

Units and conventions

• bed_length, bed_width, spacing, and row_spacing must use the same linear unit before division; unit conversion is not performed by the stated formulas.
• Unless separately provided, row_spacing is assumed equal to the plant spacing requirement for the grid examples.
• The +1 endpoint convention assumes a plant can be centered exactly at each usable bed boundary.
• All dimensions and spacings are real, finite, positive values; zero or negative spacing is invalid.

Inspectable vector

One of 4 source-bound review vectors:

{
  "inputs": {
    "bed_length": 3,
    "bed_width": 2,
    "spacing": 0.5,
    "row_spacing": 0.5,
    "unit": "m",
    "layout_pattern": "grid"
  },
  "expected_outputs": {
    "plants_per_row": 7,
    "rows": 5,
    "total": 35,
    "layout_diagram": "7 columns x 5 rows"
  },
  "working": "plants_per_row = floor(3 / 0.5) + 1 = floor(6) + 1 = 6 + 1 = 7; rows = floor(2 / 0.5) + 1 = floor(4) + 1 = 4 + 1 = 5; total = 7 x 5 = 35."
}

Failure boundary

BREAK_CLAIMED · SELF_FLAGGED

The offset-pattern rule specifies only approximately 15% greater density and does not define the triangular-packing geometry, integer rounding, or edge handling. For a grid count of 24, it produces 27.6 before rounding, so the exact required plant count is not uniquely determined. Zero spacing also yields undefined division and must be rejected.

Other records

Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

• VERIFIED_LEDGER.json
• evidence-tranche4/tranche4-results.json
• BOUNDARY_HAZARD_CATALOG.json