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 1-4 of 4 results.

A380734 Decimal expansion of the medium/short edge length ratio of a disdyakis dodecahedron.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Jan 31 2025

Keywords

Examples

			1.33770871866841824565822846556337733622336049131...

Links

Crossrefs

Cf. A380735 (long/short edge length ratio).
Cf. A010474, A378393, A378712, A378713, A378714, A378715, A380736, A380737, A380738.

Programs

  • Mathematica
    First[RealDigits[3/14*(2 + 3*Sqrt[2]), 10, 100]]
  • PARI
    (2 + 3*sqrt(2))*3/14 \\ Charles R Greathouse IV, Feb 05 2025

Formula

Equals (3/14)*(2 + 3*sqrt(2)) = (3/14)*(2 + A010474).

A380736 Decimal expansion of the smallest vertex angle, in radians, in a disdyakis dodecahedron face.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Feb 01 2025

Keywords

Comments

A disdyakis dodecahedron face is a scalene triangle with three acute angles.

Examples

			0.6592691539262158395617269590815416456187802510390...

Links

Crossrefs

Cf. A380737 (face medium angle), A380738 (face largest angle).
Cf. A010503, A378393, A378712, A378713, A378714, A378715, A380734, A380735.

Programs

  • Mathematica
    First[RealDigits[ArcCos[1/12 + Sqrt[2]/2], 10, 100]]

Formula

Equals arccos(1/12 + sqrt(2)/2) = arccos(1/12 + A010503).
Equals Pi - A380737 - A380738.

A380737 Decimal expansion of the medium vertex angle, in radians, in a disdyakis dodecahedron face.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Feb 01 2025

Keywords

Comments

A disdyakis dodecahedron face is a scalene triangle with three acute angles.

Examples

			0.96036211770779573574013915231457685647777081770813...

Links

Crossrefs

Cf. A380736 (face smallest angle), A380738 (face largest angle).
Cf. A020789, A378393, A378712, A378713, A378714, A378715, A380734, A380735.

Programs

  • Mathematica
    First[RealDigits[ArcCos[3/4 - Sqrt[2]/8], 10, 100]]

Formula

Equals arccos(3/4 - sqrt(2)/8) = arccos(3/4 - A020789).
Equals Pi - A380736 - A380738.

A380738 Decimal expansion of the largest vertex angle, in radians, in a disdyakis dodecahedron face.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Feb 01 2025

Keywords

Comments

A disdyakis dodecahedron face is a scalene triangle with three acute angles.

Examples

			1.5219613819557816631607772718833843821006183306...

Links

Crossrefs

Cf. A380736 (face smallest angle), A380737 (face medium angle).
Cf. A020829, A378393, A378712, A378713, A378714, A378715, A380734, A380735.

Programs

  • Mathematica
    First[RealDigits[ArcCos[1/6 - Sqrt[2]/12], 10, 100]]

Formula

Equals arccos(1/6 - sqrt(2)/12) = arccos(1/6 - A020829).
Equals Pi - A380736 - A380737.
Showing 1-4 of 4 results.

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