cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A378827 Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a pentagonal icositetrahedron.

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%I A378827 #6 Dec 10 2024 05:50:54
%S A378827 2,3,7,9,0,4,4,9,1,4,8,3,8,8,1,0,6,8,1,7,1,9,5,3,7,2,9,1,1,6,4,6,2,0,
%T A378827 0,6,6,1,2,8,0,3,0,2,3,5,6,8,8,5,5,3,5,2,6,9,1,8,3,3,0,5,2,5,7,5,1,9,
%U A378827 5,2,5,8,7,6,9,1,9,6,5,8,6,9,2,1,0,0,1,0,3,3
%N A378827 Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a pentagonal icositetrahedron.
%C A378827 The pentagonal icositetrahedron is the dual polyhedron of the snub cube.
%H A378827 Paolo Xausa, <a href="/A378827/b378827.txt">Table of n, a(n) for n = 1..10000</a>
%H A378827 Wikipedia, <a href="https://en.wikipedia.org/wiki/Pentagonal_icositetrahedron">Pentagonal icositetrahedron</a>.
%F A378827 Equals arccos(c), where c is the real root of 7*x^3 - x^2 - 3*x + 1.
%e A378827 2.37904491483881068171953729116462006612803023...
%t A378827 First[RealDigits[ArcCos[Root[7*#^3 - #^2 - 3*# + 1 &, 1]], 10, 100]] (* or *)
%t A378827 First[RealDigits[First[PolyhedronData["PentagonalIcositetrahedron", "DihedralAngles"]], 10, 100]]
%Y A378827 Cf. A378823 (surface area), A378824 (volume), A378825 (inradius), A378826 (midradius).
%Y A378827 Cf. A377969 and A377970 (dihedral angles of a snub cube).
%K A378827 nonn,cons,easy
%O A378827 1,1
%A A378827 _Paolo Xausa_, Dec 10 2024