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Minimal number of vertices in polyhedron of genus n.
0

%I #6 Aug 15 2015 09:03:40

%S 4,7,10,10,11

%N Minimal number of vertices in polyhedron of genus n.

%C It is known that a(5) <= 16.

%D J. M. Wills, Polyhedral manifolds; symmetry and minimality, lecture at The Coxeter Legacy meeting, Toronto, 2004.

%H J. Bokowski and U. Brehm, <a href="http://dx.doi.org/10.1007/BF00147470">A polyhedron of genus 4 with minimal number of vertices and maximal symmetry</a>, Geom. Dedicata 29 (1989), no. 1, 53-64.

%H U. Brehm, <a href="http://dx.doi.org/10.1112/S0025579300013486">A maximally symmetric polyhedron of genus 3 with 10 vertices</a>, Mathematika 34 (1987), no. 2, 237-242.

%e a(0) = 4 from tetrahedron.

%K nonn,more

%O 0,1

%A _N. J. A. Sloane_, May 22 2004