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.

A377694 Decimal expansion of the surface area of a truncated dodecahedron with unit edge length.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Nov 04 2024

Keywords

Examples

			100.990760153101988544745948988636656554915090575...
		

Crossrefs

Cf. A377695 (volume), A377696 (circumradius), A377697 (midradius), A377698 (Dehn invariant, negated).
Cf. A131595 (analogous for a regular dodecahedron).

Programs

  • Mathematica
    First[RealDigits[5*(Sqrt[3] + 6*Sqrt[5 + Sqrt[20]]), 10, 100]] (* or *)
    First[RealDigits[PolyhedronData["TruncatedDodecahedron", "SurfaceArea"], 10, 100]]

Formula

Equals 5*(sqrt(3) + 6*sqrt(5 + 2*sqrt(5))) = 5*(A002194 + 6*sqrt(5 + A010476)).

A377695 Decimal expansion of the volume of a truncated dodecahedron with unit edge length.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Nov 04 2024

Keywords

Examples

			85.039664559370881554679651012654159610712109542...
		

Crossrefs

Cf. A377694 (surface area), A377696 (circumradius), A377697 (midradius), A377698 (Dehn invariant, negated).
Cf. A102769 (analogous for a regular dodecahedron).
Cf. A002163.

Programs

  • Mathematica
    First[RealDigits[5/12*(99 + 47*Sqrt[5]), 10, 100]] (* or *)
    First[RealDigits[PolyhedronData["TruncatedDodecahedron", "Volume"], 10, 100]]

Formula

Equals (5/12)*(99 + 47*sqrt(5)) = (5/12)*(99 + 47*A002163).

A377697 Decimal expansion of the midradius of a truncated dodecahedron with unit edge length.

Original entry on oeis.org

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

Views

Author

Paolo Xausa, Nov 05 2024

Keywords

Examples

			2.9270509831248422723068802515484571765804637697...
		

Crossrefs

Cf. A377694 (surface area), A377695 (volume), A377696 (circumradius), A377698 (Dehn invariant, negated).
Cf. A239798 (analogous for a regular dodecahedron).

Programs

  • Mathematica
    First[RealDigits[(5 + Sqrt[45])/4, 10, 100]] (* or *)
    First[RealDigits[PolyhedronData["TruncatedDodecahedron", "Midradius"], 10, 100]]

Formula

Equals (5 + 3*sqrt(5))/4 = (5 + A010499)/4.
Equals A205769 - 1/2.
Showing 1-3 of 3 results.