Facet Count by Cut Type Lookup

Independently verified cut diagram/variant table/culet-inclusion convention actual facet count, not shape name universal count. Exact independently documented reference matching, signed discrepancy retained. Caller independently establishes geometry, assay, calibration and protocol; not material identity, laboratory grade, treatment or care safety.

Description

Facet-count conventions depend on the cut design and on which surfaces are counted as facets.

Facet-count conventions depend on the cut design and on which surfaces are counted as facets.1

A caller-supplied reference count lets a measured count be compared without assuming one universal design standard. Use this tool to calculate facet count by cut type lookup from the supplied measurements and assumptions.

When to use Facet Count by Cut Type Lookup

Use this tool to calculate facet count by cut type lookup from the supplied measurements and assumptions. Establish the specimen, measurement protocol, units, geometry and any caller calibration or review limits.

How to use Facet Count by Cut Type Lookup and understand its results

  1. Establish the specimen, measurement protocol, units, geometry and any caller calibration or review limits.
  2. Enter callerVerifiedFacetInventoryKeys, callerVerifiedFacetInventoryValues, queryFacetInventoryKey, observedFacetInventoryValue, using the field meanings and rules below, then run the tool.
  3. Read callerReferenceValue, signedObservedMinusReference. Interpret the fields using their units, signs and evidence conventions below.
  4. 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 fieldMeaningValue typeRequirement
callerVerifiedFacetInventoryKeysCaller verified facet inventory keys; caller assertion or measurement requiring independent evidencelist of stringRequired
callerVerifiedFacetInventoryValuesCaller verified facet inventory values; caller assertion or measurement requiring independent evidencelist of numberRequired
queryFacetInventoryKeyQuery facet inventory keystringRequired
observedFacetInventoryValueObserved facet inventory valuenumberRequired

Enter nonempty aligned unique nonblank reference keys and nonnegative integer facet counts, with an exact query and observed nonnegative integer count. Return the matched caller count and observed-minus-reference difference. Unknown query keys fail; no design catalog or counting convention is installed.

reference=values[indexOfExact(query,keys)]; difference=observed−reference

Use the exact units, boundary rules, ordering and missing-evidence conventions above.

Output fieldMeaningValue type
callerReferenceValueCaller Reference Value; follow the units, sign, ordering and evidence convention stated abovenumber
signedObservedMinusReferenceSigned Observed Minus Reference; follow the units, sign, ordering and evidence convention stated abovenumber
json
{
  "input": {
    "callerVerifiedFacetInventoryKeys": [
      "a",
      "b"
    ],
    "callerVerifiedFacetInventoryValues": [
      2,
      4
    ],
    "queryFacetInventoryKey": "b",
    "observedFacetInventoryValue": 5
  },
  "output": {
    "callerReferenceValue": 4,
    "signedObservedMinusReference": 1
  }
}

Limitations and assumptions

A caller-supplied reference count lets a measured count be compared without assuming one universal design standard. 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 Scratch Hardness Gap Calculator for this related task: Mohs hardness is an ordinal scratch-resistance scale rather than a linear measure of abrasive wear.

Use Mohs Interval Wear Suitability Checker when its separate inputs and assumptions fit the question: Wear suitability includes more than scratch hardness, such as toughness, stability and the planned setting.

References

  1. Facet Count by Cut Type Lookup — tool.io

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