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Decimal expansion of the circumradius of a truncated tetrahedron with unit edge length.
2

%I #9 Oct 25 2024 09:26:10

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

%T 5,7,0,1,4,7,0,5,7,0,8,8,3,5,2,9,3,4,2,8,8,4,0,1,4,2,5,4,7,2,7,5,4,2,

%U 5,6,1,5,8,1,8,8,3,0,9,9,3,0,3,7,0,5,2,8,8,9

%N Decimal expansion of the circumradius of a truncated tetrahedron with unit edge length.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/TruncatedTetrahedron.html">Truncated Tetrahedron</a>.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Truncated_tetrahedron">Truncated tetrahedron</a>.

%F Equals sqrt(22)/4 = A010478/4.

%e 1.17260393995585738864140752838611657014705708835...

%t First[RealDigits[Sqrt[22]/4, 10, 100]] (* or *)

%t First[RealDigits[PolyhedronData["TruncatedTetrahedron", "Circumradius"], 10, 100]]

%Y Cf. A377274 (surface area), A377275 (volume), A093577 (midradius), A377277 (Dehn invariant).

%Y Cf. A187110 (analogous for a regular tetrahedron).

%Y Cf. A010478.

%K nonn,cons,easy

%O 1,3

%A _Paolo Xausa_, Oct 23 2024