A128914 -id:A128914 - cp's OEIS frontend

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A128114 Number of uniform polyhedra with n vertices.

Original entry on oeis.org

0, 0, 0, 1, 0, 3, 0, 2, 0, 5, 0, 10, 0, 7, 0, 5, 0, 7, 0, 9, 0, 12, 0, 15, 0, 14, 0, 7, 0, 18, 0, 9, 0, 19, 0, 7, 0, 21, 0, 10, 0, 14, 0, 11, 0, 26, 0, 12, 0, 23, 0, 14, 0, 21, 0, 14, 0, 33, 0, 42, 0, 35, 0, 19, 0, 23, 0, 18, 0, 28, 0, 14, 0, 42, 0, 21, 0, 28, 0, 18, 0, 47, 0, 14, 0, 49, 0, 24, 0

Offset: 1

Paulo de A. Sachs (sachs6(AT)yahoo.de), Feb 15 2007, corrected Feb 15 2007

nonn

			Every other term is zero because there are no uniform polyhedra with an odd number of vertices. a(6)=3 because there are the octahedron, the tetrahemihexahedron and the triangular prism.

Hart, George W., Uniform Polyhedra.
Maeder, Roman E., Uniform Polyhedra.
Eric Weisstein's World of Mathematics, Uniform Polyhedron.

After 120th term, a(n) equals 0 for n odd and 2 * A055684(n/2) + A128115(n/2) + 2 for n even.

A300449 List of values of Euler characteristic of uniform star polyhedra.

Original entry on oeis.org

-56, -28, -18, -16, -12, -10, -8, -6, -4, -2, 0, 1, 2

Offset: 1

Felix Fröhlich, Mar 06 2018

Wikipedia, Euler characteristic
Wikipedia, List of uniform polyhedra - Uniform star polyhedra

Cf. A128112, A128113, A128114, A128914, A300450.

A300450 Number of uniform star polyhedra with Euler characteristic A300449(n).

Original entry on oeis.org

1, 2, 2, 9, 2, 1, 8, 11, 5, 1, 1, 1, 24

Offset: 1

Felix Fröhlich, Mar 06 2018

Wikipedia, Euler characteristic
Wikipedia, List of uniform polyhedra - Uniform star polyhedra

Cf. A128112, A128113, A128114, A128914, A300449.

Showing 1-3 of 3 results.