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%I #9 Dec 08 2024 02:46:07
%S 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,
%T 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,
%U 2,3,5,6,8,5,3,2,5,3,0,7,7,4,8,6,3,5,6,8,2,3
%N Decimal expansion of the inradius of a disdyakis dodecahedron with unit shorter edge length.
%C The disdyakis dodecahedron is the dual polyhedron of the truncated cuboctahedron (great rhombicuboctahedron).
%H Paolo Xausa, <a href="/A378714/b378714.txt">Table of n, a(n) for n = 1..10000</a>
%F Equals sqrt((3/97)*(166 + 95*sqrt(2)))/2 = sqrt((3/97)*(166 + 95*A002193))/2.
%e 1.5239081483234575496935813294889545216581003925...
%t First[RealDigits[Sqrt[3/97*(166 + 95*Sqrt[2])]/2, 10, 100]] (* or *)
%t First[RealDigits[PolyhedronData["DisdyakisDodecahedron", "Inradius"], 10, 100]]
%Y Cf. A378712 (surface area), A378713 (volume), A378393 (midradius), A378715 (dihedral angle).
%Y Cf. A002193.
%K nonn,cons,easy,new
%O 1,2
%A _Paolo Xausa_, Dec 07 2024