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 1-8 of 8 results.

A379708 Decimal expansion of the surface area of a disdyakis triacontahedron with unit shorter edge length.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Dec 31 2024

Keywords

Comments

The disdyakis triacontahedron is the dual polyhedron of the truncated icosidodecahedron (great rhombicosidodecahedron).

Examples

			94.234632662193735601503506520549159874997310453708...

Links

Crossrefs

Cf. A379709 (volume), A379710 (inradius), A379388 (midradius), A379711 (dihedral angle).
Cf. A377796 (surface area of a truncated icosidodecahedron (great rhombicosidodecahedron) with unit edge length).
Cf. A002163.

Programs

  • Mathematica
    First[RealDigits[Sqrt[22626/5 + 9738/Sqrt[5]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["DisdyakisTriacontahedron", "SurfaceArea"], 10, 100]]

Formula

Equals sqrt(22626/5 + 9738/sqrt(5)) = sqrt(22626/5 + 9738/A002163).

A379709 Decimal expansion of the volume of a disdyakis triacontahedron with unit shorter edge length.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Dec 31 2024

Keywords

Comments

The disdyakis triacontahedron is the dual polyhedron of the truncated icosidodecahedron (great rhombicosidodecahedron).

Examples

			84.1819754400481313518959942929339817444032991207...

Links

Crossrefs

Cf. A379708 (surface area), A379710 (inradius), A379388 (midradius), A379711 (dihedral angle).
Cf. A377797 (volume of a truncated icosidodecahedron (great rhombicosidodecahedron) with unit edge length).
Cf. A002163.

Programs

  • Mathematica
    First[RealDigits[Sqrt[88590 + 39612*Sqrt[5]]/5, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["DisdyakisTriacontahedron", "Volume"], 10, 100]]

Formula

Equals sqrt(88590 + 39612*sqrt(5))/5 = sqrt(88590 + 39612*A002163)/5.

A379710 Decimal expansion of the inradius of a disdyakis triacontahedron with unit shorter edge length.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Dec 31 2024

Keywords

Comments

The disdyakis triacontahedron is the dual polyhedron of the truncated icosidodecahedron (great rhombicosidodecahedron).

Examples

			2.679969340204835578579553327459806767085423038168...

Links

Crossrefs

Cf. A379708 (surface area), A379709 (volume), A379388 (midradius), A379711 (dihedral angle).
Cf. A002163.

Programs

  • Mathematica
    First[RealDigits[Sqrt[3477/964 + 7707/(964*Sqrt[5])], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["DisdyakisTriacontahedron", "Inradius"], 10, 100]]

Formula

Equals sqrt(3477/964 + 7707/(964*sqrt(5))) = sqrt(3477/964 + 7707/(964*A002163)).

A380940 Decimal expansion of the smallest vertex angle, in radians, in a disdyakis triacontahedron face.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Feb 08 2025

Keywords

Comments

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

Examples

			0.57194925611938685598415462715533824150730405467310...

Links

Crossrefs

Cf. A380941 (middle face angle), A380942 (face largest face angle).
Cf. A001622, A379388, A379708, A379709, A379710, A379711.

Programs

  • Mathematica
    First[RealDigits[ArcCos[(2 + 5*GoldenRatio)/12], 10, 100]]

Formula

Equals arccos((2 + 5*A001622)/12).
Equals Pi - A380941 - A380942.

A380941 Decimal expansion of the middle vertex angle, in radians, in a disdyakis triacontahedron face.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Feb 08 2025

Keywords

Comments

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

Examples

			1.016443446896330150160097551517069643637928892906...

Links

Crossrefs

Cf. A380940 (smallest face angle), A380942 (largest face angle).
Cf. A001622, A379388, A379708, A379709, A379710, A379711.

Programs

  • Mathematica
    First[RealDigits[ArcCos[(17 - 4*GoldenRatio)/20], 10, 100]]

Formula

Equals arccos((17 - 4*A001622)/20).
Equals Pi - A380940 - A380942.

A380942 Decimal expansion of the largest vertex angle, in radians, in a disdyakis triacontahedron face.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Feb 09 2025

Keywords

Comments

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

Examples

			1.5531999505740762323183912046070949990519364517956...

Links

Crossrefs

Cf. A380940 (smallest face angle), A380941 (middle face angle).
Cf. A001622, A379388, A379708, A379709, A379710, A379711.

Programs

  • Mathematica
    First[RealDigits[ArcCos[(7 - 4*GoldenRatio)/30], 10, 100]]

Formula

Equals arccos((7 - 4*A001622)/30).
Equals Pi - A380940 - A380941.

A380981 Decimal expansion of the medium/short edge length ratio of a disdyakis triacontahedron.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Feb 10 2025

Keywords

Examples

			1.57082039324993690892275210061938287063218550788...

Links

Crossrefs

Cf. A380982 (long/short edge length ratio).
Cf. A002163, A379388, A379708, A379709, A379710, A379711, A380940, A380941, A380942.
Apart from leading digits the same as A176015, A134976 and A010499.

Programs

  • Mathematica
    First[RealDigits[3/10*(3 + Sqrt[5]), 10, 100]]

Formula

Equals (3/10)*(3 + sqrt(5)) = (3/10)*(3 + A002163).
Equals A176015 + 2/5.

A380982 Decimal expansion of the long/short edge length ratio of a disdyakis triacontahedron.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Feb 10 2025

Keywords

Examples

			1.8472135954999579392818347337462552470881236719223...

Links

Crossrefs

Cf. A380981 (medium/short edge length ratio).
Cf. A020762, A379388, A379708, A379709, A379710, A379711, A380940, A380941, A380942.
Apart from leading digits the same as A176453, A134974 and A010476.

Programs

  • Mathematica
    First[RealDigits[7/5 + 1/Sqrt[5], 10, 100]] (* Paolo Xausa, Feb 10 2025 *)

Formula

Equals 1/sqrt(5) + 7/5 = A020762 + 7/5.
Showing 1-8 of 8 results.

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