[math-fun] equilateral elliptical n-gons
I think that by using the term "regular" instead of "equilateral", I confused everyone. I'm trying to find a simple way to generate n-vertex equilateral ellipses. It is particularly important for the application I have in mind that the vertices are at equal spacing along the perimeter of the ellipse, and most importantly, that the sequence closes after one trip around -- i.e., there can't be any gap. The reason is that I want to use these little vectors as accelerations, and if they don't sum up exactly to zero, then the velocities & positions don't have any hope of closing up.
Wait, Henry, do you really mean you want "equal spacing along the perimeter of the ellipse"? I thought you wanted equal side lengths, and didn't care about the length of the ellipse arc they subtended. --Michael On Thu, Nov 18, 2010 at 9:30 AM, Henry Baker <hbaker1@pipeline.com> wrote:
I think that by using the term "regular" instead of "equilateral", I confused everyone.
I'm trying to find a simple way to generate n-vertex equilateral ellipses. It is particularly important for the application I have in mind that the vertices are at equal spacing along the perimeter of the ellipse, and most importantly, that the sequence closes after one trip around -- i.e., there can't be any gap.
The reason is that I want to use these little vectors as accelerations, and if they don't sum up exactly to zero, then the velocities & positions don't have any hope of closing up.
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participants (2)
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Henry Baker -
Michael Kleber