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Decimal expansion of the circumradius of a truncated cuboctahedron (great rhombicuboctahedron) with unit edge length.
3

%I #4 Nov 01 2024 23:48:38

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

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

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

%N Decimal expansion of the circumradius of a truncated cuboctahedron (great rhombicuboctahedron) with unit edge length.

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

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

%F Equals sqrt(13 + 6*sqrt(2))/2 = sqrt(13 + A010524)/2.

%e 2.3176109128927665137791474633402948053450518945...

%t First[RealDigits[Sqrt[13 + 6*Sqrt[2]]/2, 10, 100]] (* or *)

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

%Y Cf. A377343 (surface area), A377344 (volume), A377346 (midradius).

%Y Cf. A010524.

%K nonn,cons,easy

%O 1,1

%A _Paolo Xausa_, Oct 26 2024