Trillion Cut Carat Weight Estimator
Trillion measured triangular base/perpendicular altitude envelope, no circular sides or equilateral assumption. 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 trillion-cut weight model combines a triangular plan area, depth and an independently chosen fill factor.
A trillion-cut weight model combines a triangular plan area, depth and an independently chosen fill factor.1
Density converts this approximate geometric volume to mass, so the estimate depends on actual proportions and material identity. Use this tool to calculate trillion cut carat weight estimator from the supplied measurements and assumptions.
When to use Trillion Cut Carat Weight Estimator
Use this tool to calculate trillion cut 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 Trillion Cut Carat Weight Estimator and understand its results
- Establish the specimen, measurement protocol, units, geometry and any caller calibration or review limits.
- Enter trillionBaseMm, trillionPerpendicularHeightMm, totalDepthMm, callerTrillionCutFillFraction, 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 |
|---|---|---|---|
| trillionBaseMm | Trillion base mm | number | Required |
| trillionPerpendicularHeightMm | Trillion perpendicular height mm | number | Required |
| totalDepthMm | Total depth mm | number | Required |
| callerTrillionCutFillFraction | Caller trillion cut 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]. 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=base×triangleHeight/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": {
"trillionBaseMm": 6,
"trillionPerpendicularHeightMm": 5,
"totalDepthMm": 4,
"callerTrillionCutFillFraction": 0.5,
"independentlyMeasuredDensityGCM3": 4
},
"output": {
"conditionalEnvelopeVolumeMM3": 30,
"conditionalMassCarats": 0.6
}
}Limitations and assumptions
Density converts this approximate geometric volume to mass, so the estimate depends on actual proportions and material identity. 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 Round Brilliant Carat Weight Estimator for this related task: A round-cut weight model starts with a circular diameter envelope and depth.
Use Radiant Cut Carat Weight Estimator when its separate inputs and assumptions fit the question: A depth profile of measured cross-sectional areas can estimate a radiant stone's volume by integration.
References
-
Trillion Cut Carat Weight Estimator — tool.io
Similar or alternative tools
- Round Brilliant Carat Weight Estimator
A round-cut weight model starts with a circular diameter envelope and depth.
- Radiant Cut Carat Weight Estimator
A depth profile of measured cross-sectional areas can estimate a radiant stone's volume by integration.