A378714 Decimal expansion of the inradius of a disdyakis dodecahedron with unit shorter edge length.

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

Offset: 1

Author

Paolo Xausa, Dec 07 2024

Keywords

• nonn
• cons
• easy

Comments

The disdyakis dodecahedron is the dual polyhedron of the truncated cuboctahedron (great rhombicuboctahedron).

Examples

			1.5239081483234575496935813294889545216581003925...
		

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000
• Index entries for algebraic numbers, degree 4.

Crossrefs

Cf. A378712 (surface area), A378713 (volume), A378393 (midradius), A378715 (dihedral angle).

Cf. A002193.

Programs

Mathematica

First[RealDigits[Sqrt[3/97*(166 + 95*Sqrt[2])]/2, 10, 100]] (* or *)
First[RealDigits[PolyhedronData["DisdyakisDodecahedron", "Inradius"], 10, 100]]

PARI

sqrt((166 + 95*sqrt(2))*3/97)/2 \\ Charles R Greathouse IV, Feb 05 2025

Formula

Equals sqrt((3/97)*(166 + 95*sqrt(2)))/2 = sqrt((3/97)*(166 + 95*A002193))/2.