7 Jun
2014
7 Jun
'14
7:50 a.m.
On 07/06/2014 07:18, Dan Asimov wrote:
My first impression was the same as yours, Gareth. But I don't think points follow straight lines in this scheme.
With Wright's description, any point on the (unit) sphere will first reach the cylinder when its latitude circle has expanded to radius = 1. By uniform expansion, the local magnification factor in the vertical direction will have to be the same, [etc.]
OK, so the idea is that each bit of the rubber the balloon is made from expands uniformly, but once it hits the cylinder it sticks and stops expanding at that point. (Which influences what happens to the rest of the balloon. Fair enough. Thanks. -- g