ON OPTIMAL EMBEDDING BODY OCTAHEDRON
Table of contents
Share
QR
Metrics
ON OPTIMAL EMBEDDING BODY OCTAHEDRON
Annotation
PII
S042473880000616-6-1
Publication type
Article
Status
Published
Pages
117-125
Abstract

To properly assess the value of a natural crystal, it is necessary to know what products can be made from it. In the language of mathematics, it is necessary to put a body having a shape of a product into geometric body having the form of a crystal. Attachment diamond into octahedron – this is a classic problem of production technology jewelry algorithms solutions which are investigated in this paper. Embedding problem is reduced to a linear programming problem. The estimation of the complexity of algorithms is done. It is proved that the complexity of the algorithms in the attachment body crystals belonging to the octahedron classes depends linearly on the number of the crystal faces.

Keywords
natural crystals, diamond, the Cullinan, octahedron, embedding in an octahedron, the discrepancy, affine invariant, sharing criteria, rounded octahedron, terms of consistency, estimation of complexity
Date of publication
01.07.2015
Number of purchasers
1
Views
828
Readers community rating
0.0 (0 votes)
Cite   Download pdf
1

References



Additional sources and materials

Smit G. (1984). Dragotsennye kamni. M.: Mir.

Comments

No posts found

Write a review
Translate