Malfatti's Problem and Sphere Packing Theory
- https://dmi.unife.it/it/eventi/malfattis-problem-and-sphere-packing-theory
- Malfatti's Problem and Sphere Packing Theory
- 2026-05-25T11:30:00+02:00
- 2026-05-25T13:00:00+02:00
- Seminario del Prof. E. Rentsen Institute of Mathematics and Digital Technology Mongolian Academy of Sciences
Seminario del Prof. E. Rentsen Institute of Mathematics and Digital Technology Mongolian Academy of Sciences
-
Quando
il 25/05/2026 dalle 11:30 alle 13:00
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- Dove Aula B1, Palazzo Manfredini
- Contatti Prof. Gaetano Zanghirati
Abstract
Inspired by Malfatti's problem formulated in 1803 by the Italian mathematician Gian Francesco Malfatti, we develop unified theory and algorithm for a general sphere packing problem, which is to pack non overlapping spheres with the maximum volume into a convex set. First, we show that the sphere packing problem belongs to a class of global optimization and propose an algorithm for solving the problem. Then, we formulate a new optimal control problem for sphere packing problem. We also illustrate applications of sphere packing problems in mining industry, business and finance.
Inspired by Malfatti's problem formulated in 1803 by the Italian mathematician Gian Francesco Malfatti, we develop unified theory and algorithm for a general sphere packing problem, which is to pack non overlapping spheres with the maximum volume into a convex set. First, we show that the sphere packing problem belongs to a class of global optimization and propose an algorithm for solving the problem. Then, we formulate a new optimal control problem for sphere packing problem. We also illustrate applications of sphere packing problems in mining industry, business and finance.
Lunedì 25 Maggio 2026, alle ore 11:30
Aula B1, Palazzo Manfredini
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