30 Aug
2010
30 Aug
'10
9:22 p.m.
On 8/30/2010 7:29 PM, Dan Asimov wrote:
Here's a possibly harder 3D visualization challenge:
Draw a picture of a (topological) Moebius band in 3-space whose boundary is a perfect circle. (This can be done by continuously deforming the usual version.)
--Dan
Try this: draw two interlocked equal circles that are "close together." They form the edges of a Moebius strip, so visualize the space between the circles filled with a flat band. I thought of that immediately but had to draw a crude representation to convince myself that it's correct. (Unless it isn't!) Steve Gray