Packing non-equal hyperspheres into a hypersphere of minimal radius

• Published in: Проблемы машиностроения
• Date: 2014
• Main Author: Yaskov, G.N.
• Format: Article
• Language: English
• Published: Інстиут проблем машинобудування ім. А.М. Підгорного НАН України 2014
• Subjects: Прикладная математика
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/80974
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Packing non-equal hyperspheres into a hypersphere of minimal radius / G.N. Yaskov // Проблемы машиностроения. — 2014. — Т. 17, № 1. — С. 48-53. — Бібліогр.: 12 назв. — англ.

The problem of packing different hyperspheres into a hypersphere of minimal radius is considered. All hypersphere radii are supposed to be variable. Solving the problem is reduced to solving a sequence of mathematical programming problems. A special way of construction of starting pointsis suggested...