A379135 Decimal expansion of the midradius of a pentakis dodecahedron with unit shorter edge length.

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

Offset

1,2

Comments

The pentakis dodecahedron is the dual polyhedron of the truncated icosahedron.

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Pentakis Dodecahedron.

Wikipedia, Pentakis dodecahedron.

Formula

Equals (11 + 3*sqrt(5))/12 = (11 + A010499)/12.

Example

1.4756836610416140907689600838494857255268212565695...

Mathematica

First[RealDigits[(11 + Sqrt[45])/12, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["PentakisDodecahedron", "Midradius"], 10, 100]]

Crossrefs

Cf. A379132 (surface area), A379133 (volume), A379134 (inradius), A379136 (dihedral angle).

Cf. A205769 (midradius + 1 of a truncated icosahedron with unit edge length).

Cf. A010499.

Sequence in context: A086202 A107824 A085674 * A200391 A357483 A011092

Adjacent sequences: A379132 A379133 A379134 * A379136 A379138 A379139

Keyword

nonn,cons,easy,new

Author

Paolo Xausa, Dec 17 2024

Status

approved