Lapidary Stonecutting Carat Yield & Facet Angle Models
Project crystal mass updates from raw mineral pieces, set edge surface properties matching light bending scores, and control wheel movement rules.
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Refractive index ↔ critical angle — fiber optic design
Determine the boundary reflection critical angles and Fresnel reflection losses for Total Internal Reflection.
Bearing ↔ azimuth ↔ compass direction — navigation angles
Convert between 360-degree azimuths, quadrant compass bearings (e.g., N45°E), and cardinal directions for mapping and surveying.
Wind chill at altitude — temperature + wind → effective cold
Calculate altitude wind chill index, frostbite time, and standard temperature lapse rates.
Gas mix — O2 % ↔ depth limit — MOD calculation
Calculate the Maximum Operating Depth (MOD) and partial pressure of oxygen (PPO2) for nitrox and air diving.
Nutrient dilution — concentrate ratio ↔ final EC
Calculate water and liquid concentrate volumes for multi-part hydroponic reservoirs to achieve target mixing ratios and EC.
STONECUTTING Utilities
Choose a specialized option to begin instant real-time conversion.
Gemstone rough weight ↔ finished carat yield
Estimate finished faceted carat weight and material yield percentages of raw gemstone rough.
Facet angle ↔ critical angle — refractive index based
Calculate gemstone critical angles and recommended pavilion/crown alignments to maximize light reflection.
Lap speed — RPM ↔ surface speed at given diameter
Calculate lap disk surface feet per minute (SFPM) speeds to optimize pre-forming, grinding, and polishing.
Grit progression — mesh size ↔ scratch depth
Convert abrasive mesh numbers to micron measurements to manage scratch depth progression.
Cabochon dome height ↔ base diameter ratio
Calculate cabochon dome proportions, bezel edge thickness, and curvature radii based on base shapes.