| 1. |
Pulov V.♦, Kowalczuk W., Mladenov I.M.♦, Geometry of Enumerable Class of Surfaces Associated with Mylar Balloons,
Mathematics, ISSN: 2227-7390, DOI: 10.3390/math12040557, Vol.12, No.4, pp.557-1-18, 2024 Abstract:
In this paper, the very fundamental geometrical characteristics of the Mylar balloon like the profile curve, height, volume, arclength, surface area, crimping factor, etc. are recognized as geometrical moments ℐ Keywords:
Mylar balloons, geometrical moments, elliptic integrals, beta and gamma functions, recursive relations, crimping factor, lemniscate constant Affiliations:
| Pulov V. | - | other affiliation | | Kowalczuk W. | - | IPPT PAN | | Mladenov I.M. | - | Institute of Mechanics, Bulgarian Academy of Science (BG) |
|  |
| 2. |
Kowalczuk W., Pulov V.♦, Mladenov I.M.♦, Mylar Balloon and Associated Geometro-Mechanical Moments,
Mathematics, ISSN: 2227-7390, DOI: 10.3390/math11122646, Vol.11, No.12, pp.2646-1-13, 2023Abstract:
Starting with identifications of the very fundamental geometric characteristics of a Mylar balloon such as the profile curve, height, volume, arclength, surface area, crimping factor, etc., using the geometrical moments Keywords:
solid and hollow Mylar balloons, crimping factor, geometro-mechanical moments, recursive relations, elliptic integrals and functions, gamma functions, Gauss’s and lemniscate constants Affiliations:
| Kowalczuk W. | - | IPPT PAN | | Pulov V. | - | other affiliation | | Mladenov I.M. | - | Institute of Mechanics, Bulgarian Academy of Science (BG) |
| |
