cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-6 of 6 results.

A383803 Number of polyforms with n cells on the faces of a tetrakis hexahedron up to rotation.

Original entry on oeis.org

1, 1, 2, 3, 8, 14, 35, 68, 154, 318, 683, 1362, 2668, 4645, 7326, 9594, 10048, 7605, 4145, 1539, 445, 86, 16, 1, 1
Offset: 0

Views

Author

Peter Kagey, May 10 2025

Keywords

Comments

These are "one-sided" polyforms.
The tetrakis hexahedron is the polyhedral dual of the truncated octahedron.

Links

Crossrefs

Cf. A383802 (free), A383827.
Tetrahedral symmetry: A383826.
Octahedral symmetry: A383799 (row 3), A383801, A383803, A383805, A383807, A383808.
Icosahedral symmetry: A030137, A030138, A383491, A383493, A383495, A383497, A383498, A383786.

A383801 Number of polyforms with n cells on the faces of a triakis octahedron up to rotation.

Original entry on oeis.org

1, 1, 2, 3, 5, 7, 15, 24, 48, 81, 149, 255, 458, 730, 1148, 1623, 2112, 2325, 2075, 1175, 410, 84, 16, 1, 1
Offset: 0

Views

Author

Peter Kagey, May 10 2025

Keywords

Comments

These are "one-sided" polyforms.
The triakis octahedron is the polyhedral dual of the truncated cube.

Links

Crossrefs

Cf. A383800 (free).
Tetrahedral symmetry: A383826.
Octahedral symmetry: A383799 (row 3), A383801, A383803, A383805, A383807, A383808.
Icosahedral symmetry: A030137, A030138, A383491, A383493, A383495, A383497, A383498, A383786.

A383805 Number of polyforms with n cells on the faces of a deltoidal icositetrahedron up to rotation.

Original entry on oeis.org

1, 1, 2, 6, 16, 41, 119, 321, 880, 2286, 5640, 12443, 23668, 36260, 43038, 38135, 25727, 13262, 5506, 1751, 468, 87, 16, 1, 1
Offset: 0

Views

Author

Peter Kagey, May 10 2025

Keywords

Comments

These are "one-sided" polyforms.
The deltoidal icositetrahedron is the polyhedral dual of the rhombicuboctahedron.

Links

Crossrefs

Cf. A383804 (free).
Tetrahedral symmetry: A383826.
Octahedral symmetry: A383799 (row 3), A383801, A383803, A383805, A383807, A383808.
Icosahedral symmetry: A030137, A030138, A383491, A383493, A383495, A383497, A383498, A383786.

A383807 Number of polyforms with n cells on the faces of a disdyakis dodecahedron up to rotation.

Original entry on oeis.org

1, 2, 3, 6, 13, 28, 66, 148, 348, 812, 1921, 4524, 10708, 25178, 59211, 138578, 323063, 747758, 1716982, 3896986, 8715931, 19121954, 40976038, 85326888, 171723106, 331830856, 611054918, 1062626406, 1726666853, 2589026208, 3530928400, 4306815278, 4608896060, 4238344482
Offset: 0

Views

Author

Peter Kagey, May 10 2025

Keywords

Comments

These are "one-sided" polyforms.
The disdyakis dodecahedron is the polyhedral dual of the truncated cuboctahedron.

Links

Crossrefs

Cf. A383806 (free).
Tetrahedral symmetry: A383826.
Octahedral symmetry: A383799 (row 3), A383801, A383803, A383805, A383807, A383808.
Icosahedral symmetry: A030137, A030138, A383491, A383493, A383495, A383497, A383498, A383786.

Extensions

Corrected a(1) and more terms from Bert Dobbelaere, Jun 08 2025

A383808 Number of polyforms with n cells on the faces of a pentagonal icositetrahedron up to rotation.

Original entry on oeis.org

1, 1, 3, 8, 25, 72, 234, 701, 2119, 5872, 14772, 31331, 53512, 68794, 66816, 49714, 29706, 14235, 5679, 1770, 469, 87, 16, 1, 1
Offset: 0

Views

Author

Peter Kagey, May 11 2025

Keywords

Comments

These are "one-sided" polyforms.
The pentagonal icositetrahedron is the polyhedral dual of the snub cube.

Links

Crossrefs

Tetrahedral symmetry: A383826.
Octahedral symmetry: A383799 (row 3), A383801, A383803, A383805, A383807, A383808.
Icosahedral symmetry: A030137, A030138, A383491, A383493, A383495, A383497, A383498, A383786.
Cf. A197159 (floret pentagonal).

A383826 Number of polyforms with n cells on the faces of a triakis tetrahedron up to rotation.

Original entry on oeis.org

1, 1, 2, 3, 5, 7, 14, 16, 23, 18, 7, 1, 1
Offset: 0

Views

Author

Peter Kagey, May 11 2025

Keywords

Comments

These are "one-sided" polyforms.
The triakis tetrahedron is the polyhedral dual of the truncated tetrahedron.

Links

Crossrefs

Cf. A383825 (free).
Octahedral symmetry: A383799 (row 3), A383801, A383803, A383805, A383807, A383808.
Icosahedral symmetry: A030137, A030138, A383491, A383493, A383495, A383497, A383498, A383786.
Showing 1-6 of 6 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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