A377797 - OEIS

%I #10 Nov 08 2024 11:38:22

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

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

%U 6,0,4,6,2,8,1,8,9,0,2,4,4,9,7,0,7,2,0,7,2,0

%N Decimal expansion of the volume of a truncated icosidodecahedron (great rhombicosidodecahedron) with unit edge length.

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

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

%F Equals 95 + 50*sqrt(5) = 95 + 50*A002163.

%F Equals 45 + 100*A001622.

%e 206.80339887498948482045868343656381177203091798...

%t First[RealDigits[95 + 50*Sqrt[5], 10, 100]] (* or *)

%t First[RealDigits[PolyhedronData["TruncatedIcosidodecahedron", "Volume"], 10, 100]]

%Y Cf. A377796 (surface area), A377798 (circumradius), A377799 (midradius).

%Y Cf. A001622, A002163.

%K nonn,cons,easy

%O 3,1

%A _Paolo Xausa_, Nov 08 2024