How studying the cut parameters of a diamond can help a manufacturer to increase the efficiency of his work and allow a dealer and jeweler to increase the price and liquidity of the diamond?
  We suppose that to efficiently solve this problem we need to perform some mathematical calculations, discuss the obtained results with manufacturers, dealers and jewelers, and let them test the validity of the calculations in practice. We invite all the interested people and organizations to discuss and employ the results of our studies.  
  At the moment, we confine ourselves to studying the round brilliant cut of diamonds for the purpose of finding the best tradeoff in the simultaneous optimization of the light return, fire, and weight of a diamond. Here we propose to discuss our first results obtained on this way. These results can be divided into "Macroanalysis" and "Microanalysis" sections.  
  The Macroanalysis involves tracking all possible angles and proportions and determining the regions promising for cutting, from the point of view of either light return or fire. At this stage, we not only confirm the conventional sets of cut parameters but also find out some new, unusual configurations.  
  The Microanalysis involves the detailed studies of the narrow range of cut parameters: the crown angle - from 30 to 40, the pavilion angle - from 38 to 43, and the table size - from 52 to 60%. The cut parameters thus determined optimize the light return and fire of a diamond. By cutting the diamond using these parameters as a guideline, it is possible to improve the appearance of the diamond without breaking conventional proportions.  
  Below we offer some materials concerning the studies of diamond cut.  
Today available :
1. The History of Diamond Cut Studies
There are several scientific articles regarding cut study posted here. All interested visitors can trace the evolution of cut study methods and approaches. Authors of articles posted below can have opinions different form ours.
  1.1. The "Diamond Design" by Tolkowsky 1919 (part)
  1.2.1 "Faceting Limits" by Bruce Harding, 1975.
  1.2.2 " "Diamond Design" Revisited" by Bruce Harding.
1.3 "A statistical assessment of brilliance and fire for the round brilliant cut diamond" by J.S.Dodson , 1978.
  1.4."Selection of facet slopes" by A.V.Vasiliev, 1995
  1.5."Rainbow in a Colorless Gem" by A.V.Vasiliev, 1995
  1.6. "Cutting Grades Two Years Off" by Russell Shor, GemKey
  4. The Results of Diamond Cut Studies Carried out in MSU, 1999.  
  5. Developing of Diamond Cut Grading System by MSU Computer Tools  
  6. Determination of the cut quality of a diamond and visual evaluation of its beauty  
  7. On the problem of grading the quality of diamond cut: an analysis of some aspects of the problem, March 2002  
  8. The Optical Design of Gemstones, by Jose M. Sasian, Peter Yantzer and Tom Tivol, 2003  
  9. On grading the symmetry of round brilliant cut diamonds, S.B. Sivovolenko, Yu.B. Shelementyev and Garry Holloway, 2003  
  10. IDCC-I: Diamond Cut Grading System based on 3D model. A Strategy for Development. S.B. Sivovolenko, Yu.B. Shelementyev, April 2004  
  11. IDCC-I: The Stages of Development and Implementation of a Diamond Cut Grading System. S.B. Sivovolenko, Yu.B. Shelementyev, April 2004  
  12. IDCC-I: Poster Session, April 2004  
  13. OctoNus brilliance beauty research: test with real diamonds  
  14. The Interactive Ray-tracing Diamond Models by "Brill" Software  
  15. The Interactive Photorealistic Diamond Images Created by "Brill" Software  
  16. The Interactive Photorealistic Diamond Images in virtual IdealScope lighting in format of GemAdviser Software  
  17. The collection of movies created with DiamCalc software.
Movies with varying crown and pavilion angles
  18. The collection of movies created with DiamCalc software.
Movies with tilting diamonds. Constant proportions.
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