A395324 - OEIS

%I #14 Apr 22 2026 00:53:28

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

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

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

%N Decimal expansion of the length of the shorter edges of a polyhedron with 32 vertices with conjecturally maximum possible volume inscribed in the unit sphere.

%C The surface of the polyhedron consists of 60 congruent isosceles triangles, where the two equal sides are shorter with a length given by this sequence, and the third side is longer with a length given by A381264. See A179290 and A395323 for more information.

%H Paolo Xausa, <a href="/A395324/b395324.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Al#algebraic_08">Index entries for algebraic numbers, degree 8</a>.

%F Equals sqrt(2 - 2*sqrt((2*sqrt(5) + 5)/15)).

%F Minimal polynomial: 45*x^8 - 360*x^6 + 960*x^4 - 960*x^2 + 256. - _Stefano Spezia_, Apr 21 2026

%e 0.6408518201709875412850519828984...

%t First[RealDigits[Sqrt[2 - 2*Sqrt[(2*Sqrt[5] + 5)/15]], 10, 100]] (* _Paolo Xausa_, Apr 21 2026 *)

%Y Cf. A081314, A081366, A179290, A381264, A395323.

%K nonn,cons

%O 0,1

%A _Hugo Pfoertner_, Apr 21 2026