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.

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.

A377796 Decimal expansion of the surface area of a truncated icosidodecahedron (great rhombicosidodecahedron) with unit edge length.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Nov 07 2024

Keywords

Examples

			174.292030342323920882932107526283465728485221920...

Links

Crossrefs

Cf. A377797 (volume), A377798 (circumradius), A377799 (midradius).
Cf. A090388, A019970.

Programs

  • Mathematica
    First[RealDigits[30*(1 + Sqrt[3] + Sqrt[5 + Sqrt[20]]), 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TruncatedIcosidodecahedron", "SurfaceArea"], 10, 100]]

Formula

Equals 30*(1 + sqrt(3) + sqrt(5 + 2*sqrt(5))) = 30*(A090388 + A019970).

A377798 Decimal expansion of the circumradius of a truncated icosidodecahedron (great rhombicosidodecahedron) with unit edge length.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Nov 08 2024

Keywords

Examples

			3.802394499851293584766836714110323209303892865251...

Links

Crossrefs

Cf. A377796 (surface area), A377797 (volume), A377799 (midradius).
Cf. A010499, A344171.

Programs

  • Mathematica
    First[RealDigits[Sqrt[31/4 + Sqrt[45]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TruncatedIcosidodecahedron", "Circumradius"], 10, 100]]

Formula

Equals sqrt(31/4 + 3*sqrt(5)) = sqrt(31/4 + A010499) = sqrt(31 + A344171)/2.

A377799 Decimal expansion of the midradius of a truncated icosidodecahedron (great rhombicosidodecahedron) with unit edge length.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Nov 08 2024

Keywords

Examples

			3.76937712792171660267226420066194243563005157196...

Links

Crossrefs

Cf. A377796 (surface area), A377797 (volume), A377798 (circumradius).
Cf. A010499, A344171.

Programs

  • Mathematica
    First[RealDigits[Sqrt[15/2 + Sqrt[45]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TruncatedIcosidodecahedron", "Midradius"], 10, 100]]

Formula

Equals sqrt(15/2 + 3*sqrt(5)) = sqrt(15/2 + A010499) = sqrt(30 + A344171)/2.

A381695 Decimal expansion of the isoperimetric quotient of a truncated icosidodecahedron (great rhombicosidodecahedron).

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Mar 08 2025

Keywords

Comments

For the definition of isoperimetric quotient of a solid, references and links, see A381684.

Examples

			0.9135559084097273251197488307206577890586199166868...

Links

Crossrefs

Cf. A377796 (surface area), A377797 (volume).
Cf. A000796, A002163, A002194, A010476, A010476.

Programs

  • Mathematica
    First[RealDigits[Pi/30*(861 + 380*Sqrt[5])/(1 + Sqrt[3] + Sqrt[5 + Sqrt[20]])^3, 10, 100]]

Formula

Equals 36*Pi*A377797^2/(A377796^3).
Equals (Pi/30)*(861 + 380*sqrt(5))/((1 + sqrt(3) + sqrt(5 + 2*sqrt(5)))^3) = (A000796/30)*(861 + 380*A002163)/((1 + A002194 + sqrt(5 + A010476))^3).
Showing 1-5 of 5 results.

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