- PII
- S042473880000616-6-1
- DOI
- 10.7868/S0000616-6-1
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 51 / Issue 3
- Pages
- 54-63
- Abstract
The embedding of pairs of intersecting proper n-dimensional simplexes is studied. Simplex A is embedded parallel in simplex B if the outer normals of A and B are unidirectional. Their pairs are said to be embedded parallel if one pair simplexes are embedded parallel into another pair simplexes. Each pair is associated with n + 3 parameters. Theorem: a pair A or its mirror image is embedded parallel in pair B if and only in case parameters of A do not exceed parameters of B. The theorem is used for the analysis of effi cient use of raw diamonds.
- Keywords
- outer normal, mirror image, star, parallel embedding, regular simplex
- Date of publication
- 01.07.2015
- Year of publication
- 2015
- Number of purchasers
- 1
- Views
- 884
RAS Social ScienceЭкономика и математические методы Economics and the Mathematical Methods
- ISSN (Print) 0424-7388
- ISSN (Online) 3034-6177
PARALLEL EMBEDDING OF POLYHEDRONS AND EFFICIENT USE OF NATURAL DIAMONDS
Индексирование
Scopus
Crossref
Higher Attestation Commission
At the Ministry of Education and Science of the Russian Federation
Scientific Electronic Library