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 1-5 of 5 results.

A344077 Decimal expansion of 3 + 11*sqrt(3)/2.

Original entry on oeis.org

1, 2, 5, 2, 6, 2, 7, 9, 4, 4, 1, 6, 2, 8, 8, 2, 5, 1, 1, 4, 4, 0, 0, 9, 5, 4, 8, 7, 8, 2, 8, 2, 2, 9, 8, 0, 1, 8, 1, 8, 5, 4, 2, 8, 8, 9, 5, 9, 5, 7, 0, 9, 3, 4, 5, 4, 3, 0, 6, 9, 3, 8, 3, 8, 6, 9, 8, 5, 6, 3, 1, 5, 9, 2, 9, 9, 8, 4, 0, 0, 2, 0, 3, 9, 4, 6, 3, 0, 4, 0, 2, 7, 1, 6, 4, 8, 6, 7, 1
Offset: 2

Views

Author

Wesley Ivan Hurt, May 08 2021

Keywords

Comments

Decimal expansion of the surface area of a gyroelongated triangular cupola with unit edge length whose faces are all regular.

Examples

			12.5262794416288251144...

Links

Crossrefs

Cf. A344076 (gyroelongated triangular cupola volume).

Programs

  • Mathematica
    RealDigits[3 + 11 Sqrt[3]/2, 10, 200][[1]]

A387294 Decimal expansion of the largest dihedral angle, in radians, in a gyroelongated triangular cupola (Johnson solid J_22).

Original entry on oeis.org

2, 9, 5, 7, 0, 8, 0, 0, 7, 9, 6, 3, 5, 4, 4, 8, 1, 5, 1, 5, 6, 1, 8, 7, 2, 5, 8, 1, 3, 4, 5, 0, 3, 7, 6, 5, 3, 0, 5, 1, 8, 0, 8, 7, 0, 0, 4, 0, 8, 9, 9, 7, 9, 2, 3, 0, 0, 0, 5, 1, 8, 7, 0, 3, 7, 2, 7, 8, 5, 7, 5, 7, 7, 5, 3, 2, 0, 1, 3, 8, 4, 9, 7, 2, 2, 0, 0, 6, 3, 9
Offset: 1

Views

Author

Paolo Xausa, Aug 25 2025

Keywords

Comments

This is the dihedral angle between a triangular face in the antiprism part of the solid and a triangular face in the cupola part of the solid.
Also the analogous dihedral angle in a gyroelongated triangular bicupola (Johnson solid J_44).

Examples

			2.9570800796354481515618725813450376530518087004...

Links

Crossrefs

Cf. other J_22 dihedral angles: A195698, A387295, A387296, A387297.
Cf. A344076 (J_22 volume), A344077 (J_22 surface area).
Cf. A385256 (J_44 volume), A385257 (J_44 surface area).
Cf. A137914, A246724.

Programs

  • Mathematica
    First[RealDigits[ArcSec[3] + ArcCos[1 - Sqrt[12]/3], 10, 100]] (* or *)
First[RealDigits[Max[PolyhedronData["J22", "DihedralAngles"]], 10, 100]]

Formula

Equals arccos(1/3) + arccos(1 - 2*sqrt(3)/3) = A137914 + arccos(-A246724).

A387295 Decimal expansion of the second largest dihedral angle, in radians, in a gyroelongated triangular cupola (Johnson solid J_22).

Original entry on oeis.org

2, 6, 8, 1, 4, 3, 7, 2, 8, 0, 4, 1, 9, 1, 8, 2, 7, 4, 7, 5, 9, 0, 8, 0, 0, 5, 0, 5, 6, 1, 2, 8, 0, 8, 0, 3, 1, 5, 8, 4, 8, 8, 3, 3, 8, 6, 0, 6, 3, 9, 0, 8, 5, 7, 4, 9, 0, 4, 6, 6, 8, 4, 9, 9, 3, 8, 5, 7, 7, 7, 3, 0, 8, 9, 5, 7, 7, 3, 4, 2, 1, 7, 2, 5, 6, 1, 4, 6, 3, 8
Offset: 1

Views

Author

Paolo Xausa, Aug 25 2025

Keywords

Comments

This is the dihedral angle between a triangular face in the antiprism part of the solid and a square face in the cupola part of the solid.
Also the analogous dihedral angle in a gyroelongated triangular bicupola (Johnson solid J_44).

Examples

			2.6814372804191827475908005056128080315848833860639...

Links

Crossrefs

Cf. other J_22 dihedral angles: A195698, A387294, A387296, A387297.
Cf. A344076 (J_22 volume), A344077 (J_22 surface area).
Cf. A385256 (J_44 volume), A385257 (J_44 surface area).
Cf. A195696, A246724.

Programs

  • Mathematica
    First[RealDigits[ArcTan[Sqrt[2]] + ArcCos[1 - Sqrt[12]/3], 10, 100]] (* or *)
First[RealDigits[RankedMax[Union[PolyhedronData["J22", "DihedralAngles"]], 2], 10, 100]]

Formula

Equals arccos(sqrt(3)/3) + arccos(1 - 2*sqrt(3)/3) = A195696 + arccos(-A246724).

A387296 Decimal expansion of the third largest dihedral angle, in radians, in a gyroelongated triangular cupola (Johnson solid J_22).

Original entry on oeis.org

2, 5, 3, 4, 6, 0, 0, 1, 4, 9, 7, 1, 5, 1, 2, 6, 1, 9, 3, 0, 9, 1, 5, 0, 2, 8, 1, 0, 2, 1, 0, 2, 1, 0, 7, 0, 2, 1, 4, 9, 8, 3, 0, 3, 2, 9, 1, 9, 3, 5, 1, 5, 3, 6, 3, 6, 8, 8, 4, 3, 4, 6, 4, 6, 4, 1, 3, 6, 2, 5, 9, 5, 0, 3, 8, 5, 3, 4, 7, 9, 8, 9, 3, 8, 8, 4, 6, 2, 6, 1
Offset: 1

Views

Author

Paolo Xausa, Aug 26 2025

Keywords

Comments

This is the dihedral angle between triangular faces in the antiprism part of the solid.
Also the analogous dihedral angle in a gyroelongated triangular bicupola (Johnson solid J_44).

Examples

			2.5346001497151261930915028102102107021498303291935...

Links

Crossrefs

Cf. other J_22 dihedral angles: A195698, A387294, A387295, A387297.
Cf. A344076 (J_22 volume), A344077 (J_22 surface area).
Cf. A385256 (J_44 volume), A385257 (J_44 surface area).
Cf. A010469.

Programs

  • Mathematica
    First[RealDigits[ArcCos[(1 - Sqrt[12])/3], 10, 100]] (* or *)
First[RealDigits[RankedMax[Union[PolyhedronData["J22", "DihedralAngles"]], 3], 10, 100]]

Formula

Equals arccos((1 - 2*sqrt(3))/3) = arccos((1 - A010469)/3).

A387297 Decimal expansion of the smallest dihedral angle, in radians, in a gyroelongated triangular cupola (Johnson solid J_22).

Original entry on oeis.org

1, 7, 2, 6, 1, 2, 0, 6, 6, 2, 2, 9, 4, 6, 7, 3, 4, 6, 9, 4, 2, 6, 9, 4, 3, 4, 0, 3, 0, 9, 7, 0, 5, 0, 2, 7, 7, 3, 4, 1, 4, 6, 8, 6, 9, 1, 0, 5, 3, 9, 0, 3, 0, 8, 3, 9, 4, 4, 9, 7, 0, 3, 7, 0, 0, 6, 3, 8, 6, 5, 2, 6, 3, 0, 5, 3, 7, 5, 7, 7, 6, 1, 8, 6, 8, 7, 5, 4, 7, 7
Offset: 1

Views

Author

Paolo Xausa, Aug 26 2025

Keywords

Comments

This is the dihedral angle between a triangular face and the hexagonal face.

Examples

			1.7261206622946734694269434030970502773414686910539...

Links

Crossrefs

Cf. other J_22 dihedral angles: A195698, A387294, A387295, A387296.
Cf. A344076 (J_22 volume), A344077 (J_22 surface area).
Cf. A010469.

Programs

  • Mathematica
    First[RealDigits[ArcCos[1 - 2/Sqrt[3]], 10, 100]] (* or *)
First[RealDigits[Min[PolyhedronData["J22", "DihedralAngles"]], 10, 100]]

Formula

Equals arccos(1 - 2*sqrt(3)/3) = arccos(1 - A010469/3).
Showing 1-5 of 5 results.

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