Volume 11, Issue Supplement 1, October 2004, Pages 55 - 65
New Geometrical Applications of the Elliptic Integrals: The Mylar Balloon
Authors
Ivaïlo M. Mladenov
Corresponding Author
Ivaïlo M. Mladenov
Available Online 1 October 2004.
- DOI
- 10.2991/jnmp.2004.11.s1.7How to use a DOI?
- Abstract
An explicit parameterization in terms of elliptic integrals (functions) for the Mylar balloon is found which then is used to calculate various geometric quantities as well as to study all kinds of geodesics on this surface.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Ivaïlo M. Mladenov PY - 2004 DA - 2004/10/01 TI - New Geometrical Applications of the Elliptic Integrals: The Mylar Balloon JO - Journal of Nonlinear Mathematical Physics SP - 55 EP - 65 VL - 11 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2004.11.s1.7 DO - 10.2991/jnmp.2004.11.s1.7 ID - Mladenov2004 ER -