Skip to main content
7 events
when toggle format what by license comment
Jul 27, 2018 at 22:58 vote accept Victor Stone
Jul 27, 2018 at 22:59
Jan 4, 2016 at 4:18 comment added Manfred Weis @JosephO'Rourke the solution clearly depends on whether the ballon is made of rubber, aluminum foil or something else; therefore my suggestion, that the proper mathematical be clarified before thinking about a solution. Paper contains inelastic whiskers in every direction; therefore isometric deformations seem appropriate. Linnen pillows covers could be modelled by transformations that take square coordinate grids to rhombic ones; Finsterwalder worked on that topic about a century ago.
Jan 3, 2016 at 23:39 comment added Joseph O'Rourke I believe there would be wrinkling creases, as is evident in mylar balloons: Paulsen, William H. "What is the shape of a mylar balloon?" American Mathematical Monthly (1994): 953-958. (Jstor link.)
Jan 3, 2016 at 20:15 history edited Manfred Weis CC BY-SA 3.0
an envelope made of paper as well as its deformations have of course zero Gauss curvature almost everywhere
Jan 2, 2016 at 8:28 history edited Manfred Weis CC BY-SA 3.0
added 99 characters in body
Jan 2, 2016 at 8:04 history edited Manfred Weis CC BY-SA 3.0
added a link to the author of the polyhedral cushions cited in Spektrum der Wissenschaft 06/95
Jan 2, 2016 at 7:39 history answered Manfred Weis CC BY-SA 3.0