Description
For positive spacing, return spacing × sqrt(3)/2 between triangular rows and density 2/(sqrt(3) × spacing²).
Spacing calculations place ideal points or modules within a stated geometric extent. End margins, row patterns, and partial border positions affect the count.
For positive spacing, return spacing × sqrt(3)/2 between triangular rows and density 2/(sqrt(3) × spacing²).
When to use this tool
Use Planting Triangle Row Density Factor when you need an explicit planting or paving layout-count term.
How to use the tool and how it works
- Enter spacing, area. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read rowSpacing, density, approximatePlants. Use the output convention below.
For positive spacing, return spacing × sqrt(3)/2 between triangular rows and density 2/(sqrt(3) × spacing²). Multiply density by area for approximatePlants.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| spacing | Spacing | Required. Finite number; strictly above 0. |
| area | Area | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| rowSpacing | Row Spacing | Required. Finite number. |
| density | Density | Required. Finite number. |
| approximatePlants | Approximate Plants | Required. Finite number. |
{
"input": {
"spacing": 2,
"area": 40
},
"output": {
"rowSpacing": 1.7320508075688772,
"density": 0.2886751345948129,
"approximatePlants": 11.547005383792516
}
} Limitations and assumptions
- The estimate is fractional and ignores boundary losses, obstacles, growth, and species requirements.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a complete site layout that includes boundaries, obstacles, growth, joints, and installation allowances.
References
Similar or alternative tools
- Trellis Vine Spacing End Margin
Subtract two end margins from length, divide by positive spacing, floor, and add one for plants.
- Patio Paver Cut Border Count
Round width/paverWidth and length/paverLength upward for columns and rows.