A378206 Decimal expansion of the inradius of a triakis tetrahedron with unit shorter edge length.

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

Offset: 0

Author

Paolo Xausa, Nov 21 2024

Keywords

• nonn
• cons
• easy

Comments

The triakis tetrahedron is the dual polyhedron of the truncated tetrahedron.

Examples

			0.53300179088902608574609433108459844097593504016042...
		

Links

• Index entries for algebraic numbers, degree 2.

Crossrefs

Cf. A378204 (surface area), A378205 (volume), A378207 (midradius), A378208 (dihedral angle).

Cf. A010539.

Programs

Mathematica

First[RealDigits[5/Sqrt[88], 10, 100]] (* or *)
First[RealDigits[PolyhedronData["TriakisTetrahedron", "Inradius"], 10, 100]]

Formula

Equals 5/(2*sqrt(22)) = 5/A010539.