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 1-3 of 3 results.

A386690 Decimal expansion of the surface area of a diminished rhombicosidodecahedron with unit edges.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Jul 29 2025

Keywords

Comments

The diminished rhombicosidodecahedron is Johnson solid J_76.
Also the surface area of a paragyrate diminished rhombicosidodecahedron, a metagyrate diminished rhombicosidodecahedron and a bigyrate diminished rhombicosidodecahedron (Johnson solids J_77, J_78 and J_79, respectively) with unit edges.

Examples

			58.11465077780005950750278197201400152953339093...

Links

Crossrefs

Cf. A386689 (volume).
Cf. A002194, A010476, A344149, A386692, A386694.

Programs

  • Mathematica
    First[RealDigits[25 + (15*Sqrt[3] + 10*Sqrt[#] + 11*Sqrt[5*#])/4 & [5 + Sqrt[20]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J76", "SurfaceArea"], 10, 100]]

Formula

Equals 25 + (15*sqrt(3) + 10*sqrt(5 + 2*sqrt(5)) + 11*sqrt(5*(5 + 2*sqrt(5))))/4 = 25 + (15*A002194 + 10*sqrt(5 + A010476) + 11*sqrt(5*(5 + A010476)))/4.
Equals the largest root of 256*x^8 - 51200*x^7 + 4070400*x^6 - 162560000*x^5 + 3311844000*x^4 - 27184400000*x^3 - 92251037500*x^2 + 2593051875000*x - 8774179671875.

A386691 Decimal expansion of the volume of a parabidiminished rhombicosidodecahedron with unit edges.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Jul 30 2025

Keywords

Comments

The parabidiminished rhombicosidodecahedron is Johnson solid J_80.
Also the volume of a metabidiminished rhombicosidodecahedron and a gyrate bidiminished rhombicosidodecahedron (Johnson solids J_81 and J_82, respectively) with unit edges.

Examples

			36.967233145831580803409780572760635295338486330...

Links

Crossrefs

Cf. A386692 (surface area).
Cf. A001622, A002163, A134946, A179590, A185093, A386689, A386693.

Programs

  • Mathematica
    First[RealDigits[5/3*(11 + 5*Sqrt[5]), 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J80", "Volume"], 10, 100]]

Formula

Equals (5/3)*(11 + 5*sqrt(5)) = (5/3)*(11 + 5*A002163).
Equals A185093 - 2*A179590.
Equals (50/3)*A001622 + 10 = A134946*100 + 10.
Equals the largest root of 9*x^2 - 330*x - 100.

A386694 Decimal expansion of the surface area of a tridiminished rhombicosidodecahedron with unit edges.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Jul 31 2025

Keywords

Comments

The tridiminished rhombicosidodecahedron is Johnson solid J_83.

Examples

			55.731986643576199441017595043656650533395140173888...

Links

Crossrefs

Cf. A386693 (volume).
Cf. A002194, A010476, A344149, A386690, A386692.

Programs

  • Mathematica
    First[RealDigits[(60 + 5*Sqrt[3] + 30*Sqrt[#] + 9*Sqrt[5*#])/4 & [5 + Sqrt[20]], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["J83", "SurfaceArea"], 10, 100]]

Formula

Equals (60 + 5*sqrt(3) + 30*sqrt(5 + 2*sqrt(5)) + 9*sqrt(5*(5 + 2*sqrt(5))))/4 = (60 + 5*A002194 + 30*sqrt(5 + A010476) + 9*sqrt(5*(5 + A010476)))/4.
Equals the largest root of 256*x^8 - 30720*x^7 + 844800*x^6 + 20736000*x^5 - 1109916000*x^4 + 6460560000*x^3 + 265641862500*x^2 - 4344667875000*x + 19010422828125.
Showing 1-3 of 3 results.

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