14 Dec
2003
14 Dec
'03
1 p.m.
At 11:37 AM 12/5/03 -0500, you wrote:
[... T]he convex lattice 11-gon of minimum area is not yet known. [... T]he minimum area must be 19.5, 20, 20.5, 21 or 21.5.
Just by pushing points around on graph paper, I was able to reconstruct a convex lattice 11-gon of area 43/2, the upper bound given by Simpson. This wasn't all that hard, actually, and made a pleasant puzzle which I recommend. There are a variety of helpful lemmas that one discovers, which I'm having trouble putting into clear words, about producing minimum-area n-sided caps with given "shoulders". -ACW