15 Dec
2003
15 Dec
'03
1:05 p.m.
On Mon, Dec 15, 2003 at 12:00:32AM -0800, Chris Landauer wrote:
i have found hundreds of 11-gons with area 21.5, with a computer program that looks at ones with longest edge at most 10 (in a few seconds), and thousands more, but none of smaller area, when the allowed edge lengths go up as high as 50 (in a lotta seconds: 13843.496u 18.417s), on commodity pcs with freebsd and linux (varying from 1.8GHz to 2.4GHz intel Pentium style machines)
How many different non-equivalent ones modulo the action of SL(2,Z)? (The easiest way to do that is probably to look at the discrete lengths of the edges (# of lattice points on the edge) and discrete angle at the vertex (determinant of the two adjacent edge vectors). Peace, Dylan