A093465 Minimal number of vertices in polyhedron of genus n.

4, 7, 10, 10, 11

Offset

0,1

Comments

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

References

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

Links

Table of n, a(n) for n=0..4.

J. Bokowski and U. Brehm, A polyhedron of genus 4 with minimal number of vertices and maximal symmetry, Geom. Dedicata 29 (1989), no. 1, 53-64.

U. Brehm, A maximally symmetric polyhedron of genus 3 with 10 vertices, Mathematika 34 (1987), no. 2, 237-242.

Example

a(0) = 4 from tetrahedron.

Crossrefs

Sequence in context: A103702 A118517 A282848 * A123869 A309688 A072125

Adjacent sequences: A093462 A093463 A093464 * A093466 A093467 A093468

Keyword

nonn,more

Author

N. J. A. Sloane, May 22 2004

Status

approved