On Fri, Jul 09, 2010 at 04:23:22AM +0000, mark wrote: > > I don't know if this is helping or not, but I think your definition of > the problem has a flaw. The reason #2,#3,#5, & #9 create the same > wallpaper is that "the plane" does not have any corners. On the same > note I think "the plane" does not have any rotational orientation. > If that is true, #4,#13,#6, & #11 also generate the same wallpaper. > This would change all your numbers. a(2) now =6. think a formula is > possible for either definition. I'm working on it. Thanks for the > interesting puzzle.
Hello Mark, I can't tell if bringing in rotations makes the problem simpler or more difficult. If it does make it simpler, then by all means, that should be the primary case to be studied.
I would be interested in hearing about any insights into this.