Pear Shape Carat Weight Estimator
Pear outline piecewise halfellipse of specified lobe length joined to triangular point; no full oval replacement. Geometric envelope proxy under caller independently matching density/cut fill, no universal carat-by-shape empirical factor. Caller independently establishes geometry, assay, calibration and protocol; not material identity, laboratory grade, treatment or care safety.
Description
A pear-shaped outline can be idealized as a rounded lobe joined to a triangular point.
A pear-shaped outline can be idealized as a rounded lobe joined to a triangular point.1
The split and depth fill factor are supplied assumptions, so modeled weight can differ from a weighed stone. Use this tool to calculate pear shape carat weight estimator from the supplied measurements and assumptions.
When to use Pear Shape Carat Weight Estimator
Use this tool to calculate pear shape carat weight estimator from the supplied measurements and assumptions. Establish the specimen, measurement protocol, units, geometry and any caller calibration or review limits.
How to use Pear Shape Carat Weight Estimator and understand its results
- Establish the specimen, measurement protocol, units, geometry and any caller calibration or review limits.
- Enter pearLengthMm, pearWidthMm, callerRoundedLobeLengthFraction, totalDepthMm, callerPearDepthFillFraction, independentlyMeasuredDensityGCM3, using the field meanings and rules below, then run the tool.
- Read conditionalEnvelopeVolumeMM3, conditionalMassCarats. Interpret the fields using their units, signs and evidence conventions below.
- If input validation fails, correct the reported field and run again. Before applying the result, check reference scope, model assumptions and any missing evidence or placeholder values.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| pearLengthMm | Pear length mm | number | Required |
| pearWidthMm | Pear width mm | number | Required |
| callerRoundedLobeLengthFraction | Caller rounded lobe length fraction | number | Required |
| totalDepthMm | Total depth mm | number | Required |
| callerPearDepthFillFraction | Caller pear depth fill fraction | number | Required |
| independentlyMeasuredDensityGCM3 | Independently measured density g c m3; caller assertion or measurement requiring independent evidence | number | Required |
Enter positive plan dimensions and total depth in millimeters, positive density in g/cm³ and a caller fill fraction in [0,1]. Both lobe and depth fractions must lie in [0,1]. Calculate the plan area with the shape relation below, then multiply by depth and the fill fraction to estimate volume in mm³. Convert volume to carats by multiplying by density and dividing by 200: 1000 mm³=1 cm³ and 1 carat=0.2 g. Zero fill is accepted and yields zero. The fill factor and idealized shape are assumptions, not a certified weight or cut grade.
planArea=π×length×width×lobeFraction/4+width×length×(1−lobeFraction)/2; volumeMm³=planArea×depth×fillFraction; carats=volumeMm³×densityGPerCm³/200 Use the exact units, boundary rules, ordering and missing-evidence conventions above.
| Output field | Meaning | Value type |
|---|---|---|
| conditionalEnvelopeVolumeMM3 | Conditional Envelope Volume MM3; follow the units, sign, ordering and evidence convention stated above | number |
| conditionalMassCarats | Conditional mass from modeled volume and supplied density; 1 carat=0.2 g | number |
{
"input": {
"pearLengthMm": 10,
"pearWidthMm": 6,
"callerRoundedLobeLengthFraction": 0.5,
"totalDepthMm": 4,
"callerPearDepthFillFraction": 0.5,
"independentlyMeasuredDensityGCM3": 4
},
"output": {
"conditionalEnvelopeVolumeMM3": 77.1238898038469,
"conditionalMassCarats": 1.5424777960769378
}
}Limitations and assumptions
The split and depth fill factor are supplied assumptions, so modeled weight can differ from a weighed stone. Interpretation depends on the units, sampling scope and exact model described above.
All listed fields require explicit values. Unexpected fields, incorrect types, nonfinite numbers and sparse evidence arrays fail validation; the specific bounds and alignment requirements are stated above. Extremely large inputs or outputs can also be rejected. An input error is distinct from a successful result reporting false, no matches or missing evidence.
Alternative or Complementary methods
Use Trillion Cut Carat Weight Estimator for this related task: A trillion-cut weight model combines a triangular plan area, depth and an independently chosen fill factor.
Use Round Brilliant Carat Weight Estimator when its separate inputs and assumptions fit the question: A round-cut weight model starts with a circular diameter envelope and depth.
References
-
Pear Shape Carat Weight Estimator — tool.io
Similar or alternative tools
- Trillion Cut Carat Weight Estimator
A trillion-cut weight model combines a triangular plan area, depth and an independently chosen fill factor.
- Round Brilliant Carat Weight Estimator
A round-cut weight model starts with a circular diameter envelope and depth.