If each projective line meets n+1 points, you can always embed lines as (n-1)-spheres in n-space; and there is so much freedom in choosing point coordinates that you can surely then constrain all radii to unity in principal. If you want to reduce the number of dimensions, it becomes much harder: the Heawood embedding in 2-space was only solved in 2009 by Gerbracht. WFL On 6/29/15, Warren D Smith <warren.wds@gmail.com> wrote:

Can you do the same sort of 3D (or 2D) embedding via circles for other cyclic projective planes? The next one is {0,1,3,9}+m mod 13.

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